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Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
       Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                   Vol. 2, Issue 6, November- December 2012, pp.1527-1543

  Mathematical Modeling of Characteristics of Leachate Treated
     with Scrap Tire Shreds as Leachate Collection Medium
         Gunjan Bhalla*, P.K. Swamee*, Arvind Kumar*, Ajay Bansal**
  *Department of Civil Engineering, Dr B R Ambedkar National Institute of Technology, Jalandhar-144011,
                                             Punjab, India.
**Department of Chemical Engineering, Dr B R Ambedkar National Institute of Technology, Jalandhar-144011,
                                             Punjab, India

ABSTRACT
          Laboratory studies were conducted to           Johnston County, North Carolina, USA. In addition
investigate scrap-tire-shreds as a potential             to dense smoke, tire fires produce hydrocarbon
alternative to conventional gravel in the drainage       liquids that can infiltrate the soil and result in
layer of leachate collection system at the base of       contamination of ground and surface water resources.
landfill. Performance of various physico-chemical        The present recycling techniques of the scrap tires
characteristics of leachate after passing it through     may only consume a very small amount of the
combined bed of scrap-tire-shreds and gravel for         unwanted tires. The percentage of scrap tire recycled
different combinations of thickness of scrap-tire-       is not compatible with the growth of scrap tires. This
shreds and gravel and for different variations of        has become a serious problem in many countries. In
width of scrap-tire-shreds was studied. Best             order to avoid the continual addition of scrap tires to
combination with the most suitable size and the          these unsightly and unhealthy stockpiles, innovative
percentage improvement in terms of reduction in          methods of recycling and reuse of scrap tires need to
various physico-chemical parameters of leachate          be developed.
samples was identified. Thus emphasized on using                  Various engineering properties must be
scrap-tire-shreds as potential alternative to            known to assess the feasibility of using shredded
conventional gravel in the drainage layer of             scrap tires as drainage material in landfill cover
leachate collection system for treating leachate         systems. These properties include unit weight and
and this would reduce the magnitude of the               specific      gravity,     hydraulic      conductivity,
current tire disposal problem and convert one            compressibility and shear strength. Reddy and
waste into a beneficial material. In this paper,         Marella [2] summarized the engineering properties of
equations through mathematical modeling have             tire shreds based reported studies and evaluated the
been developed using the experimental data.              variation of these properties with the size of tire
These equations can be used for calculation of           shreds. A wide range of values were reported for
effluent-influent ratio of physico-chemical              each property due to differences in the size and
characteristics of leachate, after passing the           composition of tire shreds. Despite having a wide
leachate through any combination of combined             range of values, the properties of shredded scrap tires
bed of scrap tire and gravel and also for any size       meet the specific requirements to serve as an
of scrap tire shred. There is a very good                effective drainage material in landfill cover systems.
agreement between the experiment and theory.             Tire shreds have also been used as an alternative to
                                                         crushed stones (gravel) as drainage media in landfill
                                                         leachate collection systems [3,4,5,6,7]. The
Keywords- Leachate, landfills, gravel, scrap-tire-       recommended nominal tire shred size for use in
shreds, leachate collection layer, mathematical          leachate drainage layer is 50 mm with an acceptable
modeling.                                                range of 25-100mm [8]. Further, the granular
                                                         medium used in the construction of leachate drainage
1. INTRODUCTION                                          layer must posses a hydraulic conductivity equal to or
           Economically and environmentally feasible     greater than 1x 10-2 cm/s and minimum thickness of
alternatives have been investigated for recycling of     300 mm and of 500 mm at the location of perforated
scrap tires. Attention has been given to the use of      leachate collection pipes [9]. Tire shreds are,
scrap tires for civil engineering applications such as   however, highly compressible and experience large
highway embankments, retaining structures and            vertical strains of approximately 25-50% upon
lightweight fill material. A large number of used        vertical    stress     applications    [8,10,11,12,13].
scrap tires are landfilled, stockpiled and illegally     Observations made by Edil et al.[14], Reddy and
dumped. Two major problems associated with               Saichek [15] and Warith et al. [16] indicated that
stockpiling whole tires are the potential for fire and   even at high compressive stresses, tire shreds posses
mosquitoes. Eleazer et al. [1] reported that 14          a hydraulic conductivity of greater than 1 x 10 -5, a
emergency departments were required to extinguish a
fire in a 50,000 tire stockpile on April 7, 1990 in


                                                                                              1527 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
       Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                   Vol. 2, Issue 6, November- December 2012, pp.1527-1543

value generally recommended for the design of              shreds and gravel gave better results in comparison to
landfill leachate collection systems.                      Test Cell containing scrap-tire-shreds or gravel bed
           Several laboratory studies have been            when used singly as indicated from the comparative
conducted to show the effectiveness of scrap tires in a    performance study of Test Cells. The present study
leachate collection layer[17,18,16,15,14,7]. Chu and       indicates that scrap-tire-shreds can be used as a
Shakoor [19] conducted field tests in Ohio. Their          potential alternative to conventional gravel in the
leachate analyses showed the concentration of trace        drainage layer of leachate collection system thus by
elements from soil-tire mixtures was less than the         improving upon the reduction in the various leachate
maximum allowed contaminant levels specified in            parameters of environmental concern. The percentage
U.S. Environment Protection Agency regulations.            improvement in terms of reduction in various
These researchers concluded that soil-tire mixtures        physico-chemical parameters of original leachate was
can be safely used as a light weight fill material and     as high as 68.8 % and 79.6 % reduction in case of
in situations where improvement in drainage charac-        BOD5 and COD values respectively.
teristics is required. Mondal and Warith [20] reported
scrap tire stockpiles are breeding grounds for pests,      2.1 Analytical Considerations
mosquitoes and west Nile viruses and, thereby,                      The nature of variation of the effluent
become a potential health risk. This experimental          depends on the geometry of the arrangements.
study was carried out in six stages to determine the       Considering the different arrangements, the variation
suitability of shredded tire materials in a trickling      is divided into the following categories.
filter system to treat landfill leachate. Biochemical
Oxygen Demand (BOD5), Chemical Oxygen Demand               2.1.1 Showing a Minimum
(COD) and NH3-N removals were obtained in the                        Fig. 2 (a-n) depicts a plot of effluent-influent
range of 81 to 96%, 76 to 90% and 15 to 68%,               ratio of physico-chemical characteristics versus the
respectively. In summary, the preponderance of the         ratio of thicknesses of scrap tire layer to that of
above mentioned literature strongly indicates that         gravel layer ds/dg. A perusal of Fig. 2 (a-n) indicates
scrap tires can be safely used as a leachate collection    that the effluent-influent ratio first dips down, attains
layer for leachate treatment at landfill site with no      a minimum and then monotonically saturates to a
substantial addition or only marginal addition of any      final value. A typical equation of this curve for
pollutants that are of specific public health concern.     physico-chemical characteristic C is proposed as
The use of shredded scrap tires as protective drainage
                                                                Ce              d     d                 
                                                                                                              2
                                                                                                                  
                                                                    a  b exp α s  β s                       
material has the potential for the utilization of large
                                                                                                                        (1)
quantities of recycled scrap tires. Such use offers an          Ci              dg    d                        
economic advantage over conventional materials                                         g                       
without compromising engineering performance in            where a, b, α and β are parameters to be determined
addition; this implementation utilizes the scrap tires     from the experimental data. For this purpose the jth
as a valuable resource material and helps to alleviate     observed value Ceo / Cio  j and the corresponding
the growing problems currently associated with the
management and disposal of scrap tires.                    predicted by Eq. (1) is            C   ep   / Cip  j yields a
                                                           proportionate error j as
                                                                  ε j  Cep / Cip  j  Ceo / Cio  j (2)
2. EXPERIMENTAL WORK
          Laboratory studies were conducted to
investigate scrap-tire-shreds as a potential alternative
                                                           For determination of the parameters, an average of a
to conventional gravel in the drainage layer of
                                                           criterion function f to be minimized is given by
leachate collection system at the base of landfill.

                                                                               f ε 
                                                                               N
Gravel and scrap-tire-shreds in combination were                          1
used as leachate collection layer. Laboratory Test
                                                                    E                  j                         (3)
                                                                          N    j
Cells consisting of different combinations of scrap-
tire-shreds (size range length = 25 mm to 75 mm and        where E = average criterion function; N = number of
width = 5 mm) and gravel (size range 10 mm to 20           data. Several criteria functions for f have been
mm) beds as leachate collection layer with total bed       proposed from time to time. The most common
thickness of 500 mm were formed. A typical test cell       among them is a square function

                                                                            f ε j   ε 2j
is depicted in Fig. 1. Leachate sample after passing
through combined beds of scrap-tire-shreds and                                                      (4)
gravel were tested for obtaining various physico-
chemical parameters of leachate. The results so            The evaluation criteria given by Eq. (4), is popularly
obtained are given in Tables 1 and 2. Detail of            known as least square method introduced by Gauss in
laboratory study is presented elsewhere [17]. In brief,    1768. Another criterion function for f(εj) is the
as per the experimental observations, leachate sample      absolute function given by
after passing through combined beds of scrap-tire-



                                                                                                        1528 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
       Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                   Vol. 2, Issue 6, November- December 2012, pp.1527-1543

                    f ε j   ε j       (5)                 represented by the data; and k is the value of   C e / Ci
The absolute function is better than the square              at w/dg = 1. Example: For phosphate k = 1.2; and m =
function of as it is less biased for large errors. Small     0.14. Putting these values in Eq. (10), one gets
                                                                                              0.302
random errors get eliminated by the minimization of
                                                                  PO 2-             w    
E. Large random errors may be due to wrongly                         4e
                                                                             1.208                         (11)
                                                                  PO 2- i           dg   
recorded observation in a data set. These errors play                4                   
decisive role in estimates of parameters. Swamee and
                                                             The parameters k and m for various attributes are
Ojha [21] gave the following criterion function,
which reduces the effect of large errors:                    listed in Table 4. A perusal of Eq. (11) and Fig. 3(j)

               
     f ε j   ε 2  ε c 2     0.5
                                                             indicates that there is quite good agreement between
                         
                  j                                   (6)    experiment and the theory.
where εc = proportionate cutoff error. Using the
experimental data the parameters were evaluated by           3. CONCLUSIONS
minimizing the sum of criterion function given by                      Equation has been developed for calculating
Eq. (6) with cutoff error 2%. Example: For phosphate         the value of various physico-chemical characteristics
the parameters obtained are: a = 0.590, b = 0.090, α =       of leachate after passing it through combined bed of
2.83 and β = 2.12. Thus, for Phosphate Eq. (1)               scrap tire and gravel for different combinations of
reduces to                                                   thickness of scrap tire and gravel. Another equation
                                                             has also been developed for calculation of effluent-
 PO 2-e                           ds        ds  
                                                  2
                                                             influent ratio of physico-chemical characteristics for
     4
          0.590  0.090 exp 2.83     2.12   (7)
 PO 2- i                          dg       d             different variations of width of scrap tire shreds. The
    4
                                            g            comparison between the experimental and the
The agreement between Eq. (7) and the data is                theoretical values show that there is a good
depicted in Fig. 2(j). A perusal of Fig. 2 (a-n)             agreement between experiment and theory.
indicates that Eq. (1) represents the data fairly
accurately. The parameters of various attributes are         NOTATION
given in Table 3.                                            The following symbols are used in this paper:
For minimum of Ce/Ci, equating the differential              a        = parameter (nondimensional);
coefficient of Eq. (1) by (ds/dg)* and simplifying, one      b        = parameter (nondimensional);
gets,                                                        C        = physico-chemical characteristics;
                          *                                  ds       = thickness of scrap tire layer (mm);
                    ds   
                           α          (8)                 dg       = thickness of gravel layer (mm);
                   d        2β                             E        = average error (nondimensional);
                    g                                      f        = criterion function (nondimensional);
Where * stands for minimum. Combining Eqs. (1)               k        = parameter;
and (8), the minimum, (Ce/Ci)* is found to be                m        = parameter;
                   *
            Ce                  α2                       N        = number of data;
           
           C        a  b exp   (9)
                                 4β                       w = width of scrap tire shreds;
            i                                                    = parameter (nondimensional);
Table 3 also gives values of (ds/dg)* and (Ce/Ci)*. A                = parameter (nondimensional);
perusal of Table 3 shows that for all attributes (ds/dg)*            = proportionate error;
is fairly constant; and it may be taken as 0.667.            εc       = proportionate cutoff error;

2.1.2 Uniformly Increasing                                   SUPERSCRIPT
          Fig. 3 (a-n) depicts a plot of effluent-influent   *     = optimum;
ratio of physico-chemical characteristics versus the
ratio of width of scrap tire to the of gravel layer w/dg.    SUBSCRIPT
It can be seen from Fig. 3 (a-n) that the effluent-          e     = effluent;
influent ratio monotonically increases with the              i     = influent;
increase in w/dg. A typical equation of this variation       j     = index;
is                                                           o     = observed; and
                              m                              p     = predicted.
          Ce     w       
              k                             (10)
          Ci    d        
                 g       
where k and m are parameters that are determined by
plotting the experimental data on a double log graph
paper. In such a case m is the slope of straight line



                                                                                                      1529 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
       Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                   Vol. 2, Issue 6, November- December 2012, pp.1527-1543

REFERENCES                                               [12]   D.N.Humphery, T.C. Sandford, M.M.
[1]     W.E. Eleazer, M.A. Barlaz and D.J.Whittle,              Cribbs and W.P. Manion, Shear strength and
        Resource recovery alternatives for waste                compressibility of tire chips for use as
        tires in North Carolina, Civil Engineering              retaining wall backfill, Transportation
        Department,          North Carolina State               Research Record 1422, Transportation
        University, Raleigh, 1992.                              Research Board, Washington, D.C.,1993.
[2]     K.R.Reddy and A. Marella, Properties of          [13]   W. P. Manion and D.N. Humphery, Use of
        different size scrap tire shreds: implications          tire chips as lightweight and conventional
        on using as drainage material in landfill               embankment fill, Technical Paper 91-1,
        cover systems, Proceedings of the 17th                  Technical      Services    Division,    Maine
        International Conference on Solid Waste                 Department of Transportation, Maine, 1992.
        Technology and Management, Philadelphia,         [14]   T.B.Edil, P.J.Fox and S.W. Ahl, Hydraulic
        PA, USA., 2001.                                         conductivity and compressibility of waste
[3]     D.N.       Humphrey,      Civil    engineering          tire chips, Proceedings of 15th Annual
        applications of tire shreds, Proceedings of             Madison Waste Conf., Madison, Wis., 1992,
        the Tire Industry Conference, Clemson                   49-61.
        University, 1999, 1-16.                          [15]   K.R.Reddy and R.E. Saichek, Characteri-
[4]     California Integrated Waste Management                  zation and performance assessment of
        Board, Tire shreds as leachate drainage                 shredded scrap tires as leachate drainage
        material at municipal solid waste landfill,             material in landfills, Proceedings of the 14th
        Guidance Manual, 1998.                                  International conference on solid waste
[5]     R.Donovan, J. Dempsey and S. Owen, Scrap                technology and management, Philadelphia,
        tire utilization in landfill applications,              PA, 1998.
        Proceedings of Solid Waste Association of        [16]   M.A. Warith, E. Evgin and P.A.S. Benson,
        North America, Wastecon GR-G 0034, 1996,                Suitability of shredded tires for use in
        353-383.                                                landfill leachate collection systems, Waste
[6]     D.P. Duffy, Using tire chips as a leachate              Management, 24, 2004, 967-978.
        drai-nage layer, Waste Age, 26, 1995, 113-       [17]   G. Bhalla, A. Kumar and A. Bansal, Perfor-
        122.                                                    mance of scrap tire shreds as a potential
[7]     D.N. Humphrey and W.P. Manion,                          leachate collection medium, J.Geotech. and
        Properties of tire chips for lightweight fill,          Geological Eng., Springer, 28(5), 2010,
        grouting,       soil     improvement       and          661-669.
        geosynthetics,       Proceedings      of   the   [18]   R.K. Rowe and R. McIaac, Clogging of tire
        Conference Sponsored by the Geotechnical                shreds and gravel permeated with landfill
        Engineering Division of the American                    leachate, J. Geotech. Geoenviron. Eng.,
        Society of Civil Engineers 2, New Orleans,              131(6), 2005, 682-693.
        1992, 1344-1355.                                 [19]   C. Chu and A. Shakoor, Use of shredded
[8]     Mississipi Department of Environmental                  scrap tires in soil, Eng. Geol. Environ., 22nd
        Quality, Beneficial use of waste tire material          Proceedings        of    the     International
        guidance for using tire chips as leachate               Symposium, 2, 1997, 1687.
        drainage layers at municipal solid waste         [20]   B. Mondal and M.A. Warith, Use of
        landfills,    Mississipi    Department      of          shredded tire crumbs as packing media in
        Environmental Quality, Solid Waste                      trickling filter systems for landfill leachate
        Management Branch, 2002, 1-3.                           treatment, Civil Engineering Department,
[9]     Ministry of Environment (MOE), Landfill                 Ryerson University, Toronto, Canada,
        standards- A guideline on the regulatory and            Environmental Technology, 29 (8), 2008,
        approval requirements for new or expanding              827- 836.
        landfilling sites, Ontario Ministry of the       [21]   P.K. Swamee and C.S.P. Ojha, Pump test
        Environment, 1998, 1-127.                               analysis of confined aquifer, J. Irrig. and
[10]    Geosyntec Consultants, Guidance manual -                Drain. Eng., ASCE, 116 (1), 1990, 99-106.
        Tire shreds as leachate drainage material at
        municipal solid waste landfill, Prepared for
        California Integrated Waste Management
        Board, 1998.
[11]    W.L.Nickels and D.N. Humphrey, The
        effect of tire chips as subgrade fill on paved
        roads, Maine Department of Transportation,
        Maine, 1997.




                                                                                            1530 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
      Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue 6, November- December 2012, pp.1527-1543

                            Table 1 Observation of Test Cells 1 to 7

Attributes   influent   effluent     ds     dg      Attributes     influent   effluent     ds      dg
                                   (mm)   (mm)                                           (mm)    (mm)
   pH         10.3        9.6        0     500       Chloride          853      432        0      500
              10.3        9.5       100    400        (mg/l)           853      396       100     400
              10.3        9.3       200    300                         853      308       200     300
              10.3        9.4       250    250                         853      326       250     250
              10.3        9.5       300    200                         853      335       300     200
              10.3        9.7       400    100                         853      448       400     100
              10.3        9.8       500     0                          853      523       500      0
   Total      8600       3085        0     500      Ammonical           83      40         0      500
  Solids      8600       2543       100    400       Nitrogen           83      38        100     400
   (TS)       8600       2046       200    300        (mg/l)            83      23        200     300
  (mg/l)      8600       2285       250    250                          83      25        250     250
              8600       2586       300    200                          83      30        300     200
              8600       3150       400    100                          83      49        400     100
              8600       3205       500     0                           83      53        500      0
  Total       6800       1796        0     500      Phosphate           78      39         0      500
Dissolved     6800       1575       100    400       (mg/l)             78      32        100     400
 Solids       6800       1332       200    300                          78      28        200     300
 (TDS)        6800       1430       250    250                          78      30        250     250
  (mg/l)      6800       1658       300    200                          78      36        300     200
              6800       1808       400    100                          78      43        400     100
              6800       2180       500     0                           78      46        500      0
Hardness      638        493         0     500          Iron           6.6       3         0      500
 (mg/l)       638        405        100    400         (mg/l)          6.6      2.6       100     400
              638        342        200    300                         6.6      1.3       200     300
              638        395        250    250                         6.6      1.5       250     250
              638        488        300    200                         6.6      1.9       300     200
              638        530        400    100                         6.6      2.8       400     100
              638        542        500     0                          6.6      3.6       500      0
Turbidity      30         17         0     500         Lead            0.9      0.4        0      500
 (NTU)         30         15        100    400         (mg/l)          0.9      0.3       100     400
               30         12        200    300                         0.9      0.1       200     300
               30         13        250    250                         0.9      0.2       250     250
               30         13        300    200                         0.9      0.2       300     200
               30         19        400    100                         0.9      0.4       400     100
               30         20        500     0                          0.9      0.5       500      0
   BOD        809        325         0     500      Chromium           1.5      1.2        0      500
  (mg/l)      809        306        100    400        (mg/l)           1.5       1        100     400
              809        253        200    300                         1.5      0.4       200     300
              809        269        250    250                         1.5      0.5       250     250
              809        285        300    200                         1.5      0.6       300     200
              809        329        400    100                         1.5      0.9       400     100
              809        363        500     0                          1.5      1.3       500      0
   COD        1690       595         0     500       Cadmium           3.2      1.4        0      500
  (mg/l)      1690       584        100    400        (mg/l)           3.2      1.3       100     400
              1690       345        200    300                         3.2      1.1       200     300
              1690       386        250    250                         3.2      1.2       250     250
              1690       398        300    200                         3.2      1.2       300     200
              1690       589        400    100                         3.2      1.4       400     100
              1690       650        500     0                          3.2      1.6       500      0




                                                                                         1531 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
      Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue 6, November- December 2012, pp.1527-1543

                           Table 2 Observations of Test Cells 3, 8 to 10

Attributes    influent   effluent      w        dg      Attributes     influent      effluent      w       dg
                                     (mm)     (mm)                                               (mm)    (mm)
   pH           10.3       9.3         5       300       Chloride        853            308        5      300
                10.3       9.5        10       300        (mg/l)         853            312       10      300
                10.3       9.4        15       300                       853            346       15      300
                10.3       9.6        20       300                       853            358       20      300
    TS          8600      2046         5       300     Ammonical          83            23         5      300
  (mg/l)        8600      2185        10       300      Nitrogen          83            30        10      300
                8600      2343        15       300       (mg/l)           83            35        15      300
                8600      2486        20       300                        83            38        20      300
   TDS          6800      1332         5       300      Phosphate         78            28         5      300
  (mg/l)        6800      1486        10       300       (mg/l)           78            32        10      300
                6800      1492        15       300                        78            39        15      300
                6800      1503        20       300                        78            42        20      300
Hardness        638       342          5       300         Iron          6.6            1.3        5      300
 (mg/l)         638       358         10       300        (mg/l)         6.6            1.5       10      300
                638       365         15       300                       6.6            1.8       15      300
                638       382         20       300                       6.6            1.9       20      300
Turbidity        30        12          5       300        Lead           0.9            0.1        5      300
 (NTU)           30        15         10       300        (mg/l)         0.9            0.2       10      300
                 30        17         15       300                       0.9            0.2       15      300
                 30        18         20       300                       0.9             3        20      300
   BOD          809       253          5       300      Chromium         1.5            0.4        5      300
  (mg/l)        809       255         10       300        (mg/l)         1.5            0.5       10      300
                809       267         15       300                       1.5            0.4       15      300
                809       282         20       300                       1.5            0.5       20      300
   COD          1690      345          5       300      Cadmium          3.2            1.1        5      300
  (mg/l)        1690      365         10       300       (mg/l)          3.2            1.2       10      300
                1690      368         15       300                       3.2            1.2       15      300
                1690      375         20       300                       3.2            1.3       20      300


                                    Table 3 Parameters of various attributes
                   Attributes                  a        b       α       β         (ds/dg)*    (Ce/Ci)*
                       pH                    0.942    0.010    4.16    3.12        0.667       0.903
                    TS (mg/l)                0.373    0.014    6.80    5.10        0.667       0.238
                  TDS (mg/l)                 0.320    0.056    2.38    1.78        0.668       0.196
                Hardness (mg/l)              0.850    0.077    4.22    3.16        0.668       0.535
                Turbidity (NTU)              0.667    0.100    2.94    2.21        0.665       0.401
                  BOD (mg/l)                 0.449    0.047    3.19    2.39        0.667       0.313
                  COD (mg/l)                 0.385    0.033    5.14    3.85        0.668       0.202
                 Chloride (mg/l)             0.613    0.107    2.58    1.93        0.668       0.360
             Ammonical Nitrogen (mg/l)       0.639    0.157    2.51    1.88        0.668       0.276
                Phosphate (mg/l)             0.590    0.090    2.83    2.12        0.668       0.359
                   Iron (mg/l)               0.546    0.091    4.03    3.02        0.668       0.197
                  Lead (mg/l)                0.556    0.111    4.16    3.12        0.667       0.112
                Chromium (mg/l)              0.867    0.067    6.59    4.94        0.667       0.264
                Cadmium (mg/l)               0.500    0.062    2.75    2.06        0.668       0.345




                                                                                                 1532 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
 Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
             Vol. 2, Issue 6, November- December 2012, pp.1527-1543

                         Table 4 Parameters of various attributes
                            Attributes              k           m
                                 pH              0.975        0.018
                              TS (mg/l)          0.414        0.138
                            TDS (mg/l)           0.285        0.088
                           Hardness(mg/l)        0.724        0.074
                          Turbidity (NTU)        1.366        0.298
                            BOD(mg/l)            0.416        0.074
                            COD (mg/l)           0.260        0.058
                           Chloride (mg/l)       0.563        0.114
                       Ammonical Nitrogen (mg/l) 1.252        0.367
                          Phosphate (mg/l)       1.208        0.302
                             Iron (mg/l)         0.624        0.285
                            Lead (mg/l)          2.294        0.729
                          Chromium (mg/l)        0.416        0.101
                          Cadmium (mg/l)         0.534        0.108

                                              152.3mm
               Sample Intake




                         1219.2 mm




Leachate Collection Layer (500 mm)                             ds (200 mm)
                                                               dg (300 mm)




                                                             Sampling port



                               Scrap-tire- shreds              Gravel


                 Fig. 1 A laboratory Test Cell showing leachate collection layer




                                                                                   1533 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543


              0.96

              0.95

              0.94
pHe/pHi




              0.93

              0.92

              0.91

                      0.9
                            0       0.5             1            1.5            2            2.5           3
                                                                 ds/dg

                                      Fig. 2(a)     Plot of effluent-influent ratio of pH versus ds/dg

                        0.4


                       0.35
          TSe/TSi




                        0.3


                       0.25


                        0.2
                                0    0.5                1         1.5            2            2.5           3
                                                                  ds/dg

                                          Fig. 2 (b) Plot of effluent-influent ratio of TS versus ds/dg
                       0.35


                        0.3
          TDSe/TDSi




                       0.25


                        0.2


                       0.15
                                0    0.5                1          1.5              2         2.5           3
                                                                  ds/dg

                                     Fig. 2 (c)    Plot of effluent-influent ratio of TDS versus ds/dg




                                                                                                          1534 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543


                                      0.9
  Hardness e/Hardness i



                                      0.7



                                      0.5



                                      0.3
                                             0        0.5             1            1.5             2            2.5              3
                                                                                  ds/dg
                                                     Fig. 2 (d) Plot of effluent-influent ratio of Hardness versus ds/dg
                                       0.7

                                       0.6
              Turbiditye/Turbidityi




                                       0.5

                                       0.4

                                       0.3

                                       0.2
                                                 0      0.5               1          1.5            2            2.5              3
                                                                                    ds/dg

                                                     Fig. 2 (e)   Plot of effluent-influent ratio of Turbidity versus ds/dg
                                       0.5

                                      0.45
       BOD e/BOD i




                                       0.4

                                      0.35

                                       0.3

                                      0.25

                                       0.2
                                                 0      0.5               1          1.5               2         2.5              3
                                                                                    ds/dg

                                                     Fig. 2 (f)   Plot of effluent-influent ratio of BOD versus ds/dg




                                                                                                                              1535 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543


                                0.4

                               0.35

                                0.3
               CODe/CODi




                               0.25

                                0.2

                               0.15

                                0.1
                                        0                 0.5               1         1.5            2            2.5              3
                                                                                     ds/dg

                                                           Fig. 2 (g)   Plot of effluent-influent ratio of COD versus ds/dg
                              0.7


                              0.6
     Chloride e/Chloride i




                              0.5


                              0.4


                              0.3


                              0.2
                                    0                0.5                1            1.5            2            2.5              3
                                                                                    ds/dg

                                                         Fig. 2 (h) Plot of effluent-influent ratio of Chloride versus ds/dg

                              0.7
  Ammonical-Ne/Ammonical-Ni




                              0.6

                              0.5

                              0.4

                              0.3

                              0.2

                              0.1
                                    0                0.5                1            1.5            2            2.5              3
                                                                                    ds/dg

                                            Fig. 2 (i)     Plot of effluent-influent ratio of Ammonical-Nitrogen versus ds/dg



                                                                                                                              1536 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543


                                              0.7


                                              0.6
                     Phosphatee/Phosphatei



                                              0.5


                                              0.4


                                              0.3


                                              0.2
                                                       0     0.5                1            1.5            2             2.5             3
                                                                                            ds /dg




                                                           Fig. 2 (j)    Plot of effluent-influent ratio of Phosphate versus ds/dg
                                             0.6


                                             0.5
               Irone/Ironi




                                             0.4


                                             0.3


                                             0.2


                                             0.1
                                                    0       0.5                1             1.5             2             2.5             3
                                                                                            ds /dg

                                                                  Fig. 2 (k)    Plot of effluent-influent ratio of Iron versus ds/dg
                       0.6

                       0.5

                       0.4
 Leade/Leadi




                       0.3

                       0.2

                       0.1

                                             0
                                                   0       0.5                 1             1.5             2            2.5                 3
                                                                                            ds/dg

                                                                 Fig. 2 (l)    Plot of effluent-influent ratio of Lead versus ds/dg




                                                                                                                                       1537 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
  Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
              Vol. 2, Issue 6, November- December 2012, pp.1527-1543

                          1
Chromiume/Chromiumi     0.9
                        0.8
                        0.7
                        0.6
                        0.5
                        0.4
                        0.3
                        0.2
                        0.1
                          0
                                           0             0.5            1             1.5            2             2.5            3
                                                                                     ds/dg

                                                    Fig. 2 (m)   Plot of effluent-influent ratio of Chromium versus ds/dg



                                          0.6
                      Cadmiume/Cadmiumi




                                          0.5


                                          0.4


                                          0.3


                                          0.2
                                                0          0.5              1           1.5              2           2.5              3
                                                                                       ds/dg


                                                         Fig. 2 (n) Plot of effluent-influent ratio of Cadmium versus ds/dg

        Fig. 2 (a-n) Graphical representations of effluent-influent ratio of various parameters versus ds/dg




                                                                                                                              1538 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543


                          1
               0.95
                    0.9
               0.85
                    0.8
   pHe/ pHi




               0.75
                    0.7
               0.65
                    0.6
               0.55
                    0.5
                              0             0.02             0.04               0.06          0.08            0.1
                                                                       w/dg

                                          Fig. 3(a)    Plot of effluent-influent ratio of pH versus w/d g

                     0.35

                          0.3

                     0.25
         TSe/TSi




                          0.2

                     0.15

                          0.1

                     0.05

                              0
                                  0           0.02              0.04              0.06           0.08            0.1
                                                                         w/dg

                                            Fig. 3(b)    Plot of effluent-influent ratio of TS versus w/d g

                          0.24

                          0.22

                              0.2
              TDSe/TDSi




                          0.18

                          0.16

                          0.14

                          0.12

                              0.1
                                      0        0.02             0.04              0.06          0.08            0.1

                                                                         w/dg

                                           Fig. 3(c)    Plot of effluent-influent ratio of TDS versus w/d g



                                                                                                              1539 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543


                                      0.61
    Hardness e/Hardness i                    0.6
                                      0.59
                                      0.58
                                      0.57
                                      0.56
                                      0.55
                                      0.54
                                      0.53
                                      0.52
                                                    0             0.02              0.04            0.06            0.08              0.1

                                                                                            w/dg

                                                               Fig. 3(d) Plot of effluent-influent ratio of Hardness versus w/d g
                                              0.7

                                              0.6
                     Turbiditye/Turbidityi




                                              0.5

                                              0.4

                                              0.3

                                              0.2

                                              0.1

                                                0
                                                    0   0.01      0.02      0.03    0.04    0.05    0.06    0.07    0.08    0.09     0.1

                                                                                            w/dg

                                                        Fig. 3(e)        Plot of effluent-influent ratio of Turbidity versus w/d g

                                              0.4

                                             0.35

                                              0.3
         BOD e/BOD i




                                             0.25

                                              0.2

                                             0.15

                                              0.1
                                                    0   0.01      0.02      0.03    0.04    0.05    0.06    0.07    0.08    0.09      0.1

                                                                                            w/dg


                                                           Fig. 3(f)       Plot of effluent-influent ratio of BOD versus w/dg



                                                                                                                                     1540 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543


                                       0.23

                                       0.22
                                       0.21
      CODe/CODi

                                             0.2

                                       0.19

                                       0.18
                                       0.17

                                       0.16
                                       0.15
                                                    0          0.01    0.02     0.03    0.04    0.05    0.06   0.07    0.08    0.09       0.1

                                                                                                w/dg
                                                                  Fig. 3(g) Plot of effluent-influent ratio of COD versus w/dg

                                             0.45


                                              0.4
        Chloridee/Chloridei




                                             0.35


                                              0.3


                                             0.25


                                              0.2
                                                       0       0.01    0.02     0.03    0.04    0.05    0.06    0.07   0.08    0.09       0.1

                                                                                                w/dg

                                                                 Fig. 3(h)     Plot of effluent-influent ratio of Chloride versus w/d g


                                               0.5
                 Ammonical-N /Ammonical-Ni




                                              0.45
                                               0.4
                                              0.35
                                               0.3
                                              0.25
                            e




                                               0.2
                                              0.15
                                               0.1
                                              0.05
                                                   0
                                                        0       0.01    0.02     0.03    0.04    0.05   0.06    0.07   0.08    0.09       0.1

                                                                                                w/dg


                                                           Fig. 3(i) Plot of effluent-influent ratio of Ammonical-Nitrogen versus w/dg




                                                                                                                                          1541 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543



                                0.6

                                0.5
        Phosphatee/Phosphatei
                                0.4

                                0.3

                                0.2

                                0.1

                                 0
                                          0          0.02               0.04              0.06              0.08                   0.1
                                                                                 w/dg


                                                Fig. 3 (j)    Plot of effluent-influent ratio of Phosphate versus w/d g


                                0.35

                                 0.3

                                0.25
        Irone/Ironi




                                 0.2

                                0.15

                                 0.1

                                0.05

                                  0
                                          0   0.01   0.02      0.03    0.04     0.05     0.06     0.07    0.08     0.09      0.1

                                                                               w/dg

                                                Fig. 3(k)     Plot of effluent-influent ratio of Iron versus w/d g

                                0.36
                                0.32
                                0.28
                                0.24
             Leade/Leadi




                                 0.2
                                0.16
                                0.12
                                0.08
                                0.04
                                      0
                                          0   0.01   0.02      0.03   0.04     0.05     0.06     0.07    0.08    0.09      0.1

                                                                               w/dg


                                                 Fig. 3 (l)    Plot of effluent-influent ratio of Lead versus w/dg




                                                                                                                          1542 | P a g e
Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of
Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
            Vol. 2, Issue 6, November- December 2012, pp.1527-1543

                                0.36

                                         0.3
     Chromiume/Chromiumi

                                0.24

                                0.18

                                0.12

                                0.06

                                               0
                                                    0        0.01      0.02      0.03      0.04      0.05      0.06      0.07      0.08      0.09          0.1

                                                                                                     w/dg

                                                              Fig. 3(m)       Plot of effluent-influent ratio of Chromium versus w/dg

                                               0.42
                                                   0.4
                           Cadmiume/Cadmiumi




                                               0.38
                                               0.36
                                               0.34
                                               0.32
                                                   0.3
                                               0.28
                                               0.26
                                               0.24
                                                         0      0.01      0.02      0.03      0.04      0.05      0.06      0.07      0.08          0.09         0.1

                                                                                                        w/dg

                                                                Fig. 3(n)        Plot of effluent-influent ratio of Cadmium versus w/d g


    Fig. 3 (a-n) Graphical representations of effluent-influent ratio of various parameters versus w/d g




                                                                                                                                                       1543 | P a g e

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  • 1. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 Mathematical Modeling of Characteristics of Leachate Treated with Scrap Tire Shreds as Leachate Collection Medium Gunjan Bhalla*, P.K. Swamee*, Arvind Kumar*, Ajay Bansal** *Department of Civil Engineering, Dr B R Ambedkar National Institute of Technology, Jalandhar-144011, Punjab, India. **Department of Chemical Engineering, Dr B R Ambedkar National Institute of Technology, Jalandhar-144011, Punjab, India ABSTRACT Laboratory studies were conducted to Johnston County, North Carolina, USA. In addition investigate scrap-tire-shreds as a potential to dense smoke, tire fires produce hydrocarbon alternative to conventional gravel in the drainage liquids that can infiltrate the soil and result in layer of leachate collection system at the base of contamination of ground and surface water resources. landfill. Performance of various physico-chemical The present recycling techniques of the scrap tires characteristics of leachate after passing it through may only consume a very small amount of the combined bed of scrap-tire-shreds and gravel for unwanted tires. The percentage of scrap tire recycled different combinations of thickness of scrap-tire- is not compatible with the growth of scrap tires. This shreds and gravel and for different variations of has become a serious problem in many countries. In width of scrap-tire-shreds was studied. Best order to avoid the continual addition of scrap tires to combination with the most suitable size and the these unsightly and unhealthy stockpiles, innovative percentage improvement in terms of reduction in methods of recycling and reuse of scrap tires need to various physico-chemical parameters of leachate be developed. samples was identified. Thus emphasized on using Various engineering properties must be scrap-tire-shreds as potential alternative to known to assess the feasibility of using shredded conventional gravel in the drainage layer of scrap tires as drainage material in landfill cover leachate collection system for treating leachate systems. These properties include unit weight and and this would reduce the magnitude of the specific gravity, hydraulic conductivity, current tire disposal problem and convert one compressibility and shear strength. Reddy and waste into a beneficial material. In this paper, Marella [2] summarized the engineering properties of equations through mathematical modeling have tire shreds based reported studies and evaluated the been developed using the experimental data. variation of these properties with the size of tire These equations can be used for calculation of shreds. A wide range of values were reported for effluent-influent ratio of physico-chemical each property due to differences in the size and characteristics of leachate, after passing the composition of tire shreds. Despite having a wide leachate through any combination of combined range of values, the properties of shredded scrap tires bed of scrap tire and gravel and also for any size meet the specific requirements to serve as an of scrap tire shred. There is a very good effective drainage material in landfill cover systems. agreement between the experiment and theory. Tire shreds have also been used as an alternative to crushed stones (gravel) as drainage media in landfill leachate collection systems [3,4,5,6,7]. The Keywords- Leachate, landfills, gravel, scrap-tire- recommended nominal tire shred size for use in shreds, leachate collection layer, mathematical leachate drainage layer is 50 mm with an acceptable modeling. range of 25-100mm [8]. Further, the granular medium used in the construction of leachate drainage 1. INTRODUCTION layer must posses a hydraulic conductivity equal to or Economically and environmentally feasible greater than 1x 10-2 cm/s and minimum thickness of alternatives have been investigated for recycling of 300 mm and of 500 mm at the location of perforated scrap tires. Attention has been given to the use of leachate collection pipes [9]. Tire shreds are, scrap tires for civil engineering applications such as however, highly compressible and experience large highway embankments, retaining structures and vertical strains of approximately 25-50% upon lightweight fill material. A large number of used vertical stress applications [8,10,11,12,13]. scrap tires are landfilled, stockpiled and illegally Observations made by Edil et al.[14], Reddy and dumped. Two major problems associated with Saichek [15] and Warith et al. [16] indicated that stockpiling whole tires are the potential for fire and even at high compressive stresses, tire shreds posses mosquitoes. Eleazer et al. [1] reported that 14 a hydraulic conductivity of greater than 1 x 10 -5, a emergency departments were required to extinguish a fire in a 50,000 tire stockpile on April 7, 1990 in 1527 | P a g e
  • 2. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 value generally recommended for the design of shreds and gravel gave better results in comparison to landfill leachate collection systems. Test Cell containing scrap-tire-shreds or gravel bed Several laboratory studies have been when used singly as indicated from the comparative conducted to show the effectiveness of scrap tires in a performance study of Test Cells. The present study leachate collection layer[17,18,16,15,14,7]. Chu and indicates that scrap-tire-shreds can be used as a Shakoor [19] conducted field tests in Ohio. Their potential alternative to conventional gravel in the leachate analyses showed the concentration of trace drainage layer of leachate collection system thus by elements from soil-tire mixtures was less than the improving upon the reduction in the various leachate maximum allowed contaminant levels specified in parameters of environmental concern. The percentage U.S. Environment Protection Agency regulations. improvement in terms of reduction in various These researchers concluded that soil-tire mixtures physico-chemical parameters of original leachate was can be safely used as a light weight fill material and as high as 68.8 % and 79.6 % reduction in case of in situations where improvement in drainage charac- BOD5 and COD values respectively. teristics is required. Mondal and Warith [20] reported scrap tire stockpiles are breeding grounds for pests, 2.1 Analytical Considerations mosquitoes and west Nile viruses and, thereby, The nature of variation of the effluent become a potential health risk. This experimental depends on the geometry of the arrangements. study was carried out in six stages to determine the Considering the different arrangements, the variation suitability of shredded tire materials in a trickling is divided into the following categories. filter system to treat landfill leachate. Biochemical Oxygen Demand (BOD5), Chemical Oxygen Demand 2.1.1 Showing a Minimum (COD) and NH3-N removals were obtained in the Fig. 2 (a-n) depicts a plot of effluent-influent range of 81 to 96%, 76 to 90% and 15 to 68%, ratio of physico-chemical characteristics versus the respectively. In summary, the preponderance of the ratio of thicknesses of scrap tire layer to that of above mentioned literature strongly indicates that gravel layer ds/dg. A perusal of Fig. 2 (a-n) indicates scrap tires can be safely used as a leachate collection that the effluent-influent ratio first dips down, attains layer for leachate treatment at landfill site with no a minimum and then monotonically saturates to a substantial addition or only marginal addition of any final value. A typical equation of this curve for pollutants that are of specific public health concern. physico-chemical characteristic C is proposed as The use of shredded scrap tires as protective drainage Ce  d d  2   a  b exp α s  β s   material has the potential for the utilization of large (1) quantities of recycled scrap tires. Such use offers an Ci  dg d   economic advantage over conventional materials   g   without compromising engineering performance in where a, b, α and β are parameters to be determined addition; this implementation utilizes the scrap tires from the experimental data. For this purpose the jth as a valuable resource material and helps to alleviate observed value Ceo / Cio  j and the corresponding the growing problems currently associated with the management and disposal of scrap tires. predicted by Eq. (1) is C ep / Cip  j yields a proportionate error j as ε j  Cep / Cip  j  Ceo / Cio  j (2) 2. EXPERIMENTAL WORK Laboratory studies were conducted to investigate scrap-tire-shreds as a potential alternative For determination of the parameters, an average of a to conventional gravel in the drainage layer of criterion function f to be minimized is given by leachate collection system at the base of landfill.  f ε  N Gravel and scrap-tire-shreds in combination were 1 used as leachate collection layer. Laboratory Test E j (3) N j Cells consisting of different combinations of scrap- tire-shreds (size range length = 25 mm to 75 mm and where E = average criterion function; N = number of width = 5 mm) and gravel (size range 10 mm to 20 data. Several criteria functions for f have been mm) beds as leachate collection layer with total bed proposed from time to time. The most common thickness of 500 mm were formed. A typical test cell among them is a square function f ε j   ε 2j is depicted in Fig. 1. Leachate sample after passing through combined beds of scrap-tire-shreds and (4) gravel were tested for obtaining various physico- chemical parameters of leachate. The results so The evaluation criteria given by Eq. (4), is popularly obtained are given in Tables 1 and 2. Detail of known as least square method introduced by Gauss in laboratory study is presented elsewhere [17]. In brief, 1768. Another criterion function for f(εj) is the as per the experimental observations, leachate sample absolute function given by after passing through combined beds of scrap-tire- 1528 | P a g e
  • 3. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 f ε j   ε j (5) represented by the data; and k is the value of C e / Ci The absolute function is better than the square at w/dg = 1. Example: For phosphate k = 1.2; and m = function of as it is less biased for large errors. Small 0.14. Putting these values in Eq. (10), one gets 0.302 random errors get eliminated by the minimization of PO 2-  w  E. Large random errors may be due to wrongly 4e  1.208  (11) PO 2- i  dg  recorded observation in a data set. These errors play 4   decisive role in estimates of parameters. Swamee and The parameters k and m for various attributes are Ojha [21] gave the following criterion function, which reduces the effect of large errors: listed in Table 4. A perusal of Eq. (11) and Fig. 3(j)  f ε j   ε 2  ε c 2  0.5 indicates that there is quite good agreement between  j (6) experiment and the theory. where εc = proportionate cutoff error. Using the experimental data the parameters were evaluated by 3. CONCLUSIONS minimizing the sum of criterion function given by Equation has been developed for calculating Eq. (6) with cutoff error 2%. Example: For phosphate the value of various physico-chemical characteristics the parameters obtained are: a = 0.590, b = 0.090, α = of leachate after passing it through combined bed of 2.83 and β = 2.12. Thus, for Phosphate Eq. (1) scrap tire and gravel for different combinations of reduces to thickness of scrap tire and gravel. Another equation has also been developed for calculation of effluent- PO 2-e  ds  ds   2 influent ratio of physico-chemical characteristics for 4  0.590  0.090 exp 2.83  2.12   (7) PO 2- i  dg d   different variations of width of scrap tire shreds. The 4   g  comparison between the experimental and the The agreement between Eq. (7) and the data is theoretical values show that there is a good depicted in Fig. 2(j). A perusal of Fig. 2 (a-n) agreement between experiment and theory. indicates that Eq. (1) represents the data fairly accurately. The parameters of various attributes are NOTATION given in Table 3. The following symbols are used in this paper: For minimum of Ce/Ci, equating the differential a = parameter (nondimensional); coefficient of Eq. (1) by (ds/dg)* and simplifying, one b = parameter (nondimensional); gets, C = physico-chemical characteristics; * ds = thickness of scrap tire layer (mm);  ds     α (8) dg = thickness of gravel layer (mm); d  2β E = average error (nondimensional);  g  f = criterion function (nondimensional); Where * stands for minimum. Combining Eqs. (1) k = parameter; and (8), the minimum, (Ce/Ci)* is found to be m = parameter; *  Ce   α2  N = number of data;  C   a  b exp   (9)   4β  w = width of scrap tire shreds;  i     = parameter (nondimensional); Table 3 also gives values of (ds/dg)* and (Ce/Ci)*. A  = parameter (nondimensional); perusal of Table 3 shows that for all attributes (ds/dg)*  = proportionate error; is fairly constant; and it may be taken as 0.667. εc = proportionate cutoff error; 2.1.2 Uniformly Increasing SUPERSCRIPT Fig. 3 (a-n) depicts a plot of effluent-influent * = optimum; ratio of physico-chemical characteristics versus the ratio of width of scrap tire to the of gravel layer w/dg. SUBSCRIPT It can be seen from Fig. 3 (a-n) that the effluent- e = effluent; influent ratio monotonically increases with the i = influent; increase in w/dg. A typical equation of this variation j = index; is o = observed; and m p = predicted. Ce  w   k  (10) Ci d   g  where k and m are parameters that are determined by plotting the experimental data on a double log graph paper. In such a case m is the slope of straight line 1529 | P a g e
  • 4. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 REFERENCES [12] D.N.Humphery, T.C. Sandford, M.M. [1] W.E. Eleazer, M.A. Barlaz and D.J.Whittle, Cribbs and W.P. Manion, Shear strength and Resource recovery alternatives for waste compressibility of tire chips for use as tires in North Carolina, Civil Engineering retaining wall backfill, Transportation Department, North Carolina State Research Record 1422, Transportation University, Raleigh, 1992. Research Board, Washington, D.C.,1993. [2] K.R.Reddy and A. Marella, Properties of [13] W. P. Manion and D.N. Humphery, Use of different size scrap tire shreds: implications tire chips as lightweight and conventional on using as drainage material in landfill embankment fill, Technical Paper 91-1, cover systems, Proceedings of the 17th Technical Services Division, Maine International Conference on Solid Waste Department of Transportation, Maine, 1992. Technology and Management, Philadelphia, [14] T.B.Edil, P.J.Fox and S.W. Ahl, Hydraulic PA, USA., 2001. conductivity and compressibility of waste [3] D.N. Humphrey, Civil engineering tire chips, Proceedings of 15th Annual applications of tire shreds, Proceedings of Madison Waste Conf., Madison, Wis., 1992, the Tire Industry Conference, Clemson 49-61. University, 1999, 1-16. [15] K.R.Reddy and R.E. Saichek, Characteri- [4] California Integrated Waste Management zation and performance assessment of Board, Tire shreds as leachate drainage shredded scrap tires as leachate drainage material at municipal solid waste landfill, material in landfills, Proceedings of the 14th Guidance Manual, 1998. International conference on solid waste [5] R.Donovan, J. Dempsey and S. Owen, Scrap technology and management, Philadelphia, tire utilization in landfill applications, PA, 1998. Proceedings of Solid Waste Association of [16] M.A. Warith, E. Evgin and P.A.S. Benson, North America, Wastecon GR-G 0034, 1996, Suitability of shredded tires for use in 353-383. landfill leachate collection systems, Waste [6] D.P. Duffy, Using tire chips as a leachate Management, 24, 2004, 967-978. drai-nage layer, Waste Age, 26, 1995, 113- [17] G. Bhalla, A. Kumar and A. Bansal, Perfor- 122. mance of scrap tire shreds as a potential [7] D.N. Humphrey and W.P. Manion, leachate collection medium, J.Geotech. and Properties of tire chips for lightweight fill, Geological Eng., Springer, 28(5), 2010, grouting, soil improvement and 661-669. geosynthetics, Proceedings of the [18] R.K. Rowe and R. McIaac, Clogging of tire Conference Sponsored by the Geotechnical shreds and gravel permeated with landfill Engineering Division of the American leachate, J. Geotech. Geoenviron. Eng., Society of Civil Engineers 2, New Orleans, 131(6), 2005, 682-693. 1992, 1344-1355. [19] C. Chu and A. Shakoor, Use of shredded [8] Mississipi Department of Environmental scrap tires in soil, Eng. Geol. Environ., 22nd Quality, Beneficial use of waste tire material Proceedings of the International guidance for using tire chips as leachate Symposium, 2, 1997, 1687. drainage layers at municipal solid waste [20] B. Mondal and M.A. Warith, Use of landfills, Mississipi Department of shredded tire crumbs as packing media in Environmental Quality, Solid Waste trickling filter systems for landfill leachate Management Branch, 2002, 1-3. treatment, Civil Engineering Department, [9] Ministry of Environment (MOE), Landfill Ryerson University, Toronto, Canada, standards- A guideline on the regulatory and Environmental Technology, 29 (8), 2008, approval requirements for new or expanding 827- 836. landfilling sites, Ontario Ministry of the [21] P.K. Swamee and C.S.P. Ojha, Pump test Environment, 1998, 1-127. analysis of confined aquifer, J. Irrig. and [10] Geosyntec Consultants, Guidance manual - Drain. Eng., ASCE, 116 (1), 1990, 99-106. Tire shreds as leachate drainage material at municipal solid waste landfill, Prepared for California Integrated Waste Management Board, 1998. [11] W.L.Nickels and D.N. Humphrey, The effect of tire chips as subgrade fill on paved roads, Maine Department of Transportation, Maine, 1997. 1530 | P a g e
  • 5. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 Table 1 Observation of Test Cells 1 to 7 Attributes influent effluent ds dg Attributes influent effluent ds dg (mm) (mm) (mm) (mm) pH 10.3 9.6 0 500 Chloride 853 432 0 500 10.3 9.5 100 400 (mg/l) 853 396 100 400 10.3 9.3 200 300 853 308 200 300 10.3 9.4 250 250 853 326 250 250 10.3 9.5 300 200 853 335 300 200 10.3 9.7 400 100 853 448 400 100 10.3 9.8 500 0 853 523 500 0 Total 8600 3085 0 500 Ammonical 83 40 0 500 Solids 8600 2543 100 400 Nitrogen 83 38 100 400 (TS) 8600 2046 200 300 (mg/l) 83 23 200 300 (mg/l) 8600 2285 250 250 83 25 250 250 8600 2586 300 200 83 30 300 200 8600 3150 400 100 83 49 400 100 8600 3205 500 0 83 53 500 0 Total 6800 1796 0 500 Phosphate 78 39 0 500 Dissolved 6800 1575 100 400 (mg/l) 78 32 100 400 Solids 6800 1332 200 300 78 28 200 300 (TDS) 6800 1430 250 250 78 30 250 250 (mg/l) 6800 1658 300 200 78 36 300 200 6800 1808 400 100 78 43 400 100 6800 2180 500 0 78 46 500 0 Hardness 638 493 0 500 Iron 6.6 3 0 500 (mg/l) 638 405 100 400 (mg/l) 6.6 2.6 100 400 638 342 200 300 6.6 1.3 200 300 638 395 250 250 6.6 1.5 250 250 638 488 300 200 6.6 1.9 300 200 638 530 400 100 6.6 2.8 400 100 638 542 500 0 6.6 3.6 500 0 Turbidity 30 17 0 500 Lead 0.9 0.4 0 500 (NTU) 30 15 100 400 (mg/l) 0.9 0.3 100 400 30 12 200 300 0.9 0.1 200 300 30 13 250 250 0.9 0.2 250 250 30 13 300 200 0.9 0.2 300 200 30 19 400 100 0.9 0.4 400 100 30 20 500 0 0.9 0.5 500 0 BOD 809 325 0 500 Chromium 1.5 1.2 0 500 (mg/l) 809 306 100 400 (mg/l) 1.5 1 100 400 809 253 200 300 1.5 0.4 200 300 809 269 250 250 1.5 0.5 250 250 809 285 300 200 1.5 0.6 300 200 809 329 400 100 1.5 0.9 400 100 809 363 500 0 1.5 1.3 500 0 COD 1690 595 0 500 Cadmium 3.2 1.4 0 500 (mg/l) 1690 584 100 400 (mg/l) 3.2 1.3 100 400 1690 345 200 300 3.2 1.1 200 300 1690 386 250 250 3.2 1.2 250 250 1690 398 300 200 3.2 1.2 300 200 1690 589 400 100 3.2 1.4 400 100 1690 650 500 0 3.2 1.6 500 0 1531 | P a g e
  • 6. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 Table 2 Observations of Test Cells 3, 8 to 10 Attributes influent effluent w dg Attributes influent effluent w dg (mm) (mm) (mm) (mm) pH 10.3 9.3 5 300 Chloride 853 308 5 300 10.3 9.5 10 300 (mg/l) 853 312 10 300 10.3 9.4 15 300 853 346 15 300 10.3 9.6 20 300 853 358 20 300 TS 8600 2046 5 300 Ammonical 83 23 5 300 (mg/l) 8600 2185 10 300 Nitrogen 83 30 10 300 8600 2343 15 300 (mg/l) 83 35 15 300 8600 2486 20 300 83 38 20 300 TDS 6800 1332 5 300 Phosphate 78 28 5 300 (mg/l) 6800 1486 10 300 (mg/l) 78 32 10 300 6800 1492 15 300 78 39 15 300 6800 1503 20 300 78 42 20 300 Hardness 638 342 5 300 Iron 6.6 1.3 5 300 (mg/l) 638 358 10 300 (mg/l) 6.6 1.5 10 300 638 365 15 300 6.6 1.8 15 300 638 382 20 300 6.6 1.9 20 300 Turbidity 30 12 5 300 Lead 0.9 0.1 5 300 (NTU) 30 15 10 300 (mg/l) 0.9 0.2 10 300 30 17 15 300 0.9 0.2 15 300 30 18 20 300 0.9 3 20 300 BOD 809 253 5 300 Chromium 1.5 0.4 5 300 (mg/l) 809 255 10 300 (mg/l) 1.5 0.5 10 300 809 267 15 300 1.5 0.4 15 300 809 282 20 300 1.5 0.5 20 300 COD 1690 345 5 300 Cadmium 3.2 1.1 5 300 (mg/l) 1690 365 10 300 (mg/l) 3.2 1.2 10 300 1690 368 15 300 3.2 1.2 15 300 1690 375 20 300 3.2 1.3 20 300 Table 3 Parameters of various attributes Attributes a b α β (ds/dg)* (Ce/Ci)* pH 0.942 0.010 4.16 3.12 0.667 0.903 TS (mg/l) 0.373 0.014 6.80 5.10 0.667 0.238 TDS (mg/l) 0.320 0.056 2.38 1.78 0.668 0.196 Hardness (mg/l) 0.850 0.077 4.22 3.16 0.668 0.535 Turbidity (NTU) 0.667 0.100 2.94 2.21 0.665 0.401 BOD (mg/l) 0.449 0.047 3.19 2.39 0.667 0.313 COD (mg/l) 0.385 0.033 5.14 3.85 0.668 0.202 Chloride (mg/l) 0.613 0.107 2.58 1.93 0.668 0.360 Ammonical Nitrogen (mg/l) 0.639 0.157 2.51 1.88 0.668 0.276 Phosphate (mg/l) 0.590 0.090 2.83 2.12 0.668 0.359 Iron (mg/l) 0.546 0.091 4.03 3.02 0.668 0.197 Lead (mg/l) 0.556 0.111 4.16 3.12 0.667 0.112 Chromium (mg/l) 0.867 0.067 6.59 4.94 0.667 0.264 Cadmium (mg/l) 0.500 0.062 2.75 2.06 0.668 0.345 1532 | P a g e
  • 7. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 Table 4 Parameters of various attributes Attributes k m pH 0.975 0.018 TS (mg/l) 0.414 0.138 TDS (mg/l) 0.285 0.088 Hardness(mg/l) 0.724 0.074 Turbidity (NTU) 1.366 0.298 BOD(mg/l) 0.416 0.074 COD (mg/l) 0.260 0.058 Chloride (mg/l) 0.563 0.114 Ammonical Nitrogen (mg/l) 1.252 0.367 Phosphate (mg/l) 1.208 0.302 Iron (mg/l) 0.624 0.285 Lead (mg/l) 2.294 0.729 Chromium (mg/l) 0.416 0.101 Cadmium (mg/l) 0.534 0.108 152.3mm Sample Intake 1219.2 mm Leachate Collection Layer (500 mm) ds (200 mm) dg (300 mm) Sampling port Scrap-tire- shreds Gravel Fig. 1 A laboratory Test Cell showing leachate collection layer 1533 | P a g e
  • 8. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 0.96 0.95 0.94 pHe/pHi 0.93 0.92 0.91 0.9 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2(a) Plot of effluent-influent ratio of pH versus ds/dg 0.4 0.35 TSe/TSi 0.3 0.25 0.2 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (b) Plot of effluent-influent ratio of TS versus ds/dg 0.35 0.3 TDSe/TDSi 0.25 0.2 0.15 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (c) Plot of effluent-influent ratio of TDS versus ds/dg 1534 | P a g e
  • 9. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 0.9 Hardness e/Hardness i 0.7 0.5 0.3 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (d) Plot of effluent-influent ratio of Hardness versus ds/dg 0.7 0.6 Turbiditye/Turbidityi 0.5 0.4 0.3 0.2 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (e) Plot of effluent-influent ratio of Turbidity versus ds/dg 0.5 0.45 BOD e/BOD i 0.4 0.35 0.3 0.25 0.2 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (f) Plot of effluent-influent ratio of BOD versus ds/dg 1535 | P a g e
  • 10. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 0.4 0.35 0.3 CODe/CODi 0.25 0.2 0.15 0.1 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (g) Plot of effluent-influent ratio of COD versus ds/dg 0.7 0.6 Chloride e/Chloride i 0.5 0.4 0.3 0.2 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (h) Plot of effluent-influent ratio of Chloride versus ds/dg 0.7 Ammonical-Ne/Ammonical-Ni 0.6 0.5 0.4 0.3 0.2 0.1 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (i) Plot of effluent-influent ratio of Ammonical-Nitrogen versus ds/dg 1536 | P a g e
  • 11. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 0.7 0.6 Phosphatee/Phosphatei 0.5 0.4 0.3 0.2 0 0.5 1 1.5 2 2.5 3 ds /dg Fig. 2 (j) Plot of effluent-influent ratio of Phosphate versus ds/dg 0.6 0.5 Irone/Ironi 0.4 0.3 0.2 0.1 0 0.5 1 1.5 2 2.5 3 ds /dg Fig. 2 (k) Plot of effluent-influent ratio of Iron versus ds/dg 0.6 0.5 0.4 Leade/Leadi 0.3 0.2 0.1 0 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (l) Plot of effluent-influent ratio of Lead versus ds/dg 1537 | P a g e
  • 12. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 1 Chromiume/Chromiumi 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (m) Plot of effluent-influent ratio of Chromium versus ds/dg 0.6 Cadmiume/Cadmiumi 0.5 0.4 0.3 0.2 0 0.5 1 1.5 2 2.5 3 ds/dg Fig. 2 (n) Plot of effluent-influent ratio of Cadmium versus ds/dg Fig. 2 (a-n) Graphical representations of effluent-influent ratio of various parameters versus ds/dg 1538 | P a g e
  • 13. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 1 0.95 0.9 0.85 0.8 pHe/ pHi 0.75 0.7 0.65 0.6 0.55 0.5 0 0.02 0.04 0.06 0.08 0.1 w/dg Fig. 3(a) Plot of effluent-influent ratio of pH versus w/d g 0.35 0.3 0.25 TSe/TSi 0.2 0.15 0.1 0.05 0 0 0.02 0.04 0.06 0.08 0.1 w/dg Fig. 3(b) Plot of effluent-influent ratio of TS versus w/d g 0.24 0.22 0.2 TDSe/TDSi 0.18 0.16 0.14 0.12 0.1 0 0.02 0.04 0.06 0.08 0.1 w/dg Fig. 3(c) Plot of effluent-influent ratio of TDS versus w/d g 1539 | P a g e
  • 14. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 0.61 Hardness e/Hardness i 0.6 0.59 0.58 0.57 0.56 0.55 0.54 0.53 0.52 0 0.02 0.04 0.06 0.08 0.1 w/dg Fig. 3(d) Plot of effluent-influent ratio of Hardness versus w/d g 0.7 0.6 Turbiditye/Turbidityi 0.5 0.4 0.3 0.2 0.1 0 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3(e) Plot of effluent-influent ratio of Turbidity versus w/d g 0.4 0.35 0.3 BOD e/BOD i 0.25 0.2 0.15 0.1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3(f) Plot of effluent-influent ratio of BOD versus w/dg 1540 | P a g e
  • 15. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 0.23 0.22 0.21 CODe/CODi 0.2 0.19 0.18 0.17 0.16 0.15 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3(g) Plot of effluent-influent ratio of COD versus w/dg 0.45 0.4 Chloridee/Chloridei 0.35 0.3 0.25 0.2 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3(h) Plot of effluent-influent ratio of Chloride versus w/d g 0.5 Ammonical-N /Ammonical-Ni 0.45 0.4 0.35 0.3 0.25 e 0.2 0.15 0.1 0.05 0 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3(i) Plot of effluent-influent ratio of Ammonical-Nitrogen versus w/dg 1541 | P a g e
  • 16. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 0.6 0.5 Phosphatee/Phosphatei 0.4 0.3 0.2 0.1 0 0 0.02 0.04 0.06 0.08 0.1 w/dg Fig. 3 (j) Plot of effluent-influent ratio of Phosphate versus w/d g 0.35 0.3 0.25 Irone/Ironi 0.2 0.15 0.1 0.05 0 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3(k) Plot of effluent-influent ratio of Iron versus w/d g 0.36 0.32 0.28 0.24 Leade/Leadi 0.2 0.16 0.12 0.08 0.04 0 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3 (l) Plot of effluent-influent ratio of Lead versus w/dg 1542 | P a g e
  • 17. Gunjan Bhalla, P.K. Swamee, Arvind Kumar, Ajay Bansal / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1527-1543 0.36 0.3 Chromiume/Chromiumi 0.24 0.18 0.12 0.06 0 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3(m) Plot of effluent-influent ratio of Chromium versus w/dg 0.42 0.4 Cadmiume/Cadmiumi 0.38 0.36 0.34 0.32 0.3 0.28 0.26 0.24 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 w/dg Fig. 3(n) Plot of effluent-influent ratio of Cadmium versus w/d g Fig. 3 (a-n) Graphical representations of effluent-influent ratio of various parameters versus w/d g 1543 | P a g e