Contaminant Diffusion along uniform flow velocity with pulse type input sources in finite porous medium
Öz
Solute transport inside pore system occurs due to advection and diffusion which are the important mechanisms of contaminant transport in porous medium. Analytical solutions of one-dimensional advection-diffusion equation (the coefficient of second order space derivative being temporally dependent) are obtained in a finite domain for two sets of pulse type input boundary conditions. Initially the domain is not solute free. It is supposed uniformly distributed at the initial stage. The Laplace transform technique is used with the help of new space and time variables. The solutions are graphically illustrated and compared solute distribution for finite and semi-infinite domain.
Anahtar Kelimeler
Advection- diffusion equation Contaminant Hydrology Porous medium
Kaynakça
- porous media.” Journal of [5] [6] [7] [8] [9]
- Aral, M. M. and Liao, B., (1996), “Analytical solutions for two-dimensional transport equation with time-dependent dispersion coefficients”, Journal of Hydro. Engg. 1(1) 20-32.
- Ataie-Ashtiani, B., Volker, R. E. and Lockington, D. A., (2001), “Tidal effects on groundwater dynamics in unconfined aquifers”, Hydrological Processes, 15(4), 655- 669.
- Sander, G. C., and Braddock, R. D., (2005), “Analytical solutions to the transient, unsaturated transport of water and contaminants through horizontal porous media”, Advances in Water Resources, 28, 1102–1111.
- Sirin, H. (2006). “Ground water contaminant transport by non divergence – free, unsteady, and non-stationary velocity fields.” J. Hydrology, 330, 564-572.
- Chen, J. S. and Liu, C. W., (2011), “Generalized analytical solution for advection dispersion equation in finite spatial domain with arbitrary time-dependent inlet boundary condition”, Hydrology Earth Syst. Sci., 8, 4099-4120.
- Yadav, R.R., Jaiswal, D. K. and Gulrana, 2012, “Two- Dimensional Solute Transport for Periodic Flow in Isotropic Porous Media: An Analytical Solution”, Hydrological Processes, 26, pp. 3425-3433.
- Jaiswal, D. K., Yadav, R. R. and Gulrana, 2013, “Solute- Transport under Fluctuating Groundwater Flow in Homogeneous Finite Porous Domain”, Journal of Hydrogeology and Hydrologic Engineering, vol. 2(1), 01- 07.
- Sharma, P.K. (2013), “Temporal moments for solute transport through fractured porous media”, ISH Journal of Hydraulic Engineering, 19:3, 235-243.
- Jury, W. A. and Flühler, H., (1992), “Transport of chemicals through soils: Mechanisms, models, and field applications”, Advances in Agronomy, 47, 141-201.
- Lapidus, L. and Amundson, N. R., (1952), “Mathematics of adsorption in beds, VI. The effects of longitudinal diffusion in ion-exchange and chromatographic columns”, Journal of Physical Chemistry, 56, 984-988.
- Cherry, J. A., Gillham, R. W. and Barker, J. F., (1984), “Contaminants in Groundwater Contamination”, Washington, D. C., National
- Academy Press, 46-64.
- Crank, J. (1975), “The mathematics of diffusion”, Oxford University Press, London.
- Jaiswal, D.K., Kumar, A., Kumar, N. and Yadav, R.R., 2009, “Analytical solutions for temporally and spatially dependent solute dispersion of pulse type input concentration in media”, Journal of Hydro-environment Research, 2(4), 254–263. dimensional semi-infinite
Yıl 2014,
Cilt: 2 Sayı: 4, 19 - 25, 01.02.2014
Öz
Kaynakça
- porous media.” Journal of [5] [6] [7] [8] [9]
- Aral, M. M. and Liao, B., (1996), “Analytical solutions for two-dimensional transport equation with time-dependent dispersion coefficients”, Journal of Hydro. Engg. 1(1) 20-32.
- Ataie-Ashtiani, B., Volker, R. E. and Lockington, D. A., (2001), “Tidal effects on groundwater dynamics in unconfined aquifers”, Hydrological Processes, 15(4), 655- 669.
- Sander, G. C., and Braddock, R. D., (2005), “Analytical solutions to the transient, unsaturated transport of water and contaminants through horizontal porous media”, Advances in Water Resources, 28, 1102–1111.
- Sirin, H. (2006). “Ground water contaminant transport by non divergence – free, unsteady, and non-stationary velocity fields.” J. Hydrology, 330, 564-572.
- Chen, J. S. and Liu, C. W., (2011), “Generalized analytical solution for advection dispersion equation in finite spatial domain with arbitrary time-dependent inlet boundary condition”, Hydrology Earth Syst. Sci., 8, 4099-4120.
- Yadav, R.R., Jaiswal, D. K. and Gulrana, 2012, “Two- Dimensional Solute Transport for Periodic Flow in Isotropic Porous Media: An Analytical Solution”, Hydrological Processes, 26, pp. 3425-3433.
- Jaiswal, D. K., Yadav, R. R. and Gulrana, 2013, “Solute- Transport under Fluctuating Groundwater Flow in Homogeneous Finite Porous Domain”, Journal of Hydrogeology and Hydrologic Engineering, vol. 2(1), 01- 07.
- Sharma, P.K. (2013), “Temporal moments for solute transport through fractured porous media”, ISH Journal of Hydraulic Engineering, 19:3, 235-243.
- Jury, W. A. and Flühler, H., (1992), “Transport of chemicals through soils: Mechanisms, models, and field applications”, Advances in Agronomy, 47, 141-201.
- Lapidus, L. and Amundson, N. R., (1952), “Mathematics of adsorption in beds, VI. The effects of longitudinal diffusion in ion-exchange and chromatographic columns”, Journal of Physical Chemistry, 56, 984-988.
- Cherry, J. A., Gillham, R. W. and Barker, J. F., (1984), “Contaminants in Groundwater Contamination”, Washington, D. C., National
- Academy Press, 46-64.
- Crank, J. (1975), “The mathematics of diffusion”, Oxford University Press, London.
- Jaiswal, D.K., Kumar, A., Kumar, N. and Yadav, R.R., 2009, “Analytical solutions for temporally and spatially dependent solute dispersion of pulse type input concentration in media”, Journal of Hydro-environment Research, 2(4), 254–263. dimensional semi-infinite
Toplam 15 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Şubat 2014 |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 2 Sayı: 4 |
