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Simulation modelling of pollutant transport from leachate in Shiraz landfill

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Abstract

A one-dimensional mathematical model based on convection–dispersion equation in unsaturated porous media is presented to compute inorganic total solid concentration in the soil column under the Shiraz landfill. In addition, a dynamic mathematical model is formulated to simulate concentrations of ions such as Ca2+, Mg2+, Fe2+, K+, Na+, Cl−, SO4 2− and HCO3 − as well as PH and EC in soil profile under the Shiraz landfill. Leachw model was applied to simulate water flow, water content and hydraulic conductivity in soil depth. The model was calibrated and verified by using different sets of data collected from several segments of soil depth in the study area. The numerical solution obtained using finite element method. The simulated values for the parameters were compared with measured values as well as analytical solution. The simulated results are in good agreement with measured values. This model could be applied to field scale problems for the landfill management.

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Abbreviations

θ :

Water content [L 3/L 3]

q :

Darcy velocity [L/T]

z :

Elevation, computed from surface to bottom [L]

K(θ):

Hydraulic conductivity [L/T]

ψ :

Suction head [L]

t :

Time [T]

c :

Specific moisture capacity equal to \( \frac{{{\text{d}}\theta }}{{{\text{d}}\psi }} \), θ − ψ and K − θ

ψ s :

Suction head near saturation [L]

K sat :

Saturation hydraulic conductivity [L/T]

b :

An experimental constant

θ s :

Water content [L 3/L 3]

C :

Fluid phase concentration [M/L 3]

D h :

Hydrodynamic longitudinal dispersion coefficient [L 2/T]

λ:

Dispersivity [L]

K′:

Rate coefficient [1/T]

S :

Local mass per bulk volume of refuse available for transfer at time t [M/T 3]

S 0 :

Local mass per bulk volume of refuse available for transfer at time t = 0 [M/T 3]

C st :

Maximum contaminant concentration in the liquid phase [M/T 3]

N1 and N2:

Shape functions in each node

ZA and ZB:

Coordinates of start and end node of a typical element

W :

Trial function

C a :

The concentration of TS in unit mass of soil

ρ d :

Dry soil density

D :

Mechanical dispersivity

D M :

Molecular dispersivity

V :

Average flow velocity

R :

Delay coefficient

K ads :

Adsorption coefficient and n is soil porosity

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Authors and Affiliations

  1. Department of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran

    S. A. Mirbagheri

  2. Department of Environmental Engineering, K. N. Toosi University of Technology, No. 1346, Valiasr St., Mirdamad Intersection, Tehran, 1996715433, Iran

    S. A. Hashemi Monfared

  3. Department of Hydraulic Structures, Shiraz University, Shiraz, Iran

    H. R. Kazemi

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  1. S. A. Mirbagheri
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  2. S. A. Hashemi Monfared
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  3. H. R. Kazemi
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Correspondence to S. A. Hashemi Monfared.

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Mirbagheri, S.A., Hashemi Monfared, S.A. & Kazemi, H.R. Simulation modelling of pollutant transport from leachate in Shiraz landfill. Environ Earth Sci 59, 287–296 (2009). https://doi.org/10.1007/s12665-009-0026-4

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