Abstract
This paper presents the new random walk solute transport model (RWSOLUTE) for solute transport simulation in groundwater flow system. This model is novel in using an efficient particle tracking algorithm. The proposed model is validated against analytical and other reported numerical solutions for chosen test case. The accuracy and stability of the RWSOLUTE model solutions are verified through mass balance error checks and Courant stability criteria. Further the sensitivity of the model solutions is analyzed for varying values of time step size and particle mass.
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Bibliography
Banton O, Delay F, Porel G (1997) A new time domain random walk method for solute transport in 1 – D heterogeneous media. Ground Water 35(6):1008–1013
Bellin A, Rubin Y, Rinaldo A (1994) Eulerian-Lagrangian approach for modeling of flow and transport in heterogeneous geological formations. Water Resour Res 30(11):2913–2924
Bentley LR, Pinder GF (1992) Eulerian-Lagrangian solution of the vertically averaged groundwater transport equation. Water Resour Res 28(11):3011–3020
Delay F, Ackerer P, Danquigny C (2005) Simulating solute transport in porous or fractured formations using random walk particle tracking. Vadose Zone J 4(2):360–379
Dentz M, Cortis A, Scher H, Berkowitz B (2004) Time behavior of solute transport in heterogeneous media: transition from anomalous to normal transport. Adv Water Resour 27(2):155–173
Freeze RA, Cherry JA (1979) Groundwater. PrenticeHall Inc, Englewood Cliffs
Illangasekare TH, Döll P (1989) A discrete kernel method of characteristics model of solute transport in water table aquifers. Water Resour Res 25(5):857–867
Kulkarni NH (2008) Numerical experiments on the solute transport in groundwater flow systems. IIT Bombay, Mumbai
Lu N (1994) A semianalytical method of path line computation for transient finite-difference groundwater flow models. Water Resour Res 30(8):2449–2459. http://doi.org/10.1029/94WR01219
Neuman SP (1984) Adaptive Eulerian – Lagrangian finite element method for advection – dispersion. Int J Numer Methods Eng 20(2):321–337
Prickett TA, Naymik TG, Lonnquist CG (1981) A “random-walk” solute transport model for selected groundwater quality evaluations, vol 65. Illinois State Water Survey Champaign, Champaign
Sorek S (1988) Eulerian-Lagrangian method for solving transport in aquifers. In: Groundwater flow and quality modelling. Springer, Dordrecht, pp 201–214
Sun N-Z (1996) Mathematical modelling of groundwater pollution. Springer, New York
Uffink GJM (1988) Modeling of solute transport with the random walk method. In: Groundwater flow and quality modelling. Springer, Dordrecht, pp 247–265
Wang HF, Anderson MP (1995) Introduction to groundwater modeling: finite difference and finite element methods. Academic, San Diego
Wen X-H, Gomez-Hernandez JJ (1996) The constant displacement scheme for tracking particles in heterogeneous aquifers. Ground Water 34(1):135
Zhang R, Huang K, van Genuchten MT (1993) An efficient Eulerian-Lagrangian method for solving solute transport problems in steady and transient flow fields. Water Resour Res 29(12):4131–4138
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Kulkarni, N.H., Gupta, R. (2017). Numerical Simulation of Solute Transport in Groundwater Flow System Using Random Walk Method. In: Gómez-Hernández, J., Rodrigo-Ilarri, J., Rodrigo-Clavero, M., Cassiraga, E., Vargas-Guzmán, J. (eds) Geostatistics Valencia 2016. Quantitative Geology and Geostatistics, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-46819-8_56
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DOI: https://doi.org/10.1007/978-3-319-46819-8_56
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