Автор |
Dagan, Gedeon |
Дата выпуска |
1971 |
dc.description |
The solution of the dispersion equation in porous mediums is difficult because of the dependence of the dispersion tensor on the velocity. Approximate solutions of dispersion in nonuniform two‐dimensional flows are sought by perturbation expansions. An inner boundary layer solution for the transition zone between two fluids in steady and unsteady conditions is derived. Two examples of dispersion, radial flow and coastal aquifers, are solved approximately. |
Формат |
application.pdf |
Копирайт |
Copyright 1971 by the American Geophysical Union. |
Название |
Perturbation Solutions of the Dispersion Equation in Porous Mediums |
Тип |
article |
DOI |
10.1029/WR007i001p00135 |
Electronic ISSN |
1944-7973 |
Print ISSN |
0043-1397 |
Журнал |
Water Resources Research |
Том |
7 |
Первая страница |
135 |
Последняя страница |
142 |
Выпуск |
1 |
Библиографическая ссылка |
Bachmat, Y., Hydrodynamic dispersion in non‐uniform flow through porous media, p.308, D.Sc. thesis,Technion‐Israel Institute of Technology,Haifa,1966. |
Библиографическая ссылка |
Bachmat, Y., J.Bear, The general equations of hydrodynamic dispersion in homogeneous, isotropic, porous mediums, J. Geophys. Res., 6912, 2561–2567, 1964. |
Библиографическая ссылка |
Bear, J., G.Dagan, Some exact solutions of interface problems by means of the hodograph method, J. Geophys. Res., 698, 1563–1572, 1964. |
Библиографическая ссылка |
Buyerich, Yu A., A. I.Loenov, V. M.Safrai, Variations in filtration velocity due to random large‐scale fluctuations of porosity, J. Fluid. Mech., 37, 371–381, 1969. |
Библиографическая ссылка |
Carslaw, H. S., J. C.Jaeger, Conduction of heat in solids, 510, Clarendon, Oxford, 1959. |
Библиографическая ссылка |
Cole, J., Perturbation Methods in Applied Mathematics, 259, Blaisdell, New York, 1968. |
Библиографическая ссылка |
deJosselin de Jong, G., Longitudinal and transverse diffusion in granular deposits, Trans. Amer. Geophys. Union, 391, 67–74, 1958. |
Библиографическая ссылка |
Gershon, N. D., A.Nir, Effects of boundary conditions of models on tracer distribution in flow through porous mediums, Water Resour. Res., 54, 830–840, 1969. |
Библиографическая ссылка |
Hoopes, J. A., R. F. D.Harleman, Waste water recharge and dispersion in porous media, J. Hydraul. Div., Amer. Soc. Civil Eng.HY5, 51–71, 1967. |
Библиографическая ссылка |
Li, W. H., R. P.Canale, Dispersion from sources in non‐uniform seepage flow, J. Hydraul. Div., Amer. Soc. Civil. Eng.HY3, 65–79, 1967. |
Библиографическая ссылка |
List, E. J., N. H.Brooks, Lateral dispersion in saturated porous media, J. Geophys. Res., 7210, 2531–2541, 1967. |
Библиографическая ссылка |
Nikolaevskij, V. N., Convective diffusion in porous media, Appl. Math. Mech., English Transl., 236, 1042–1050, 1959. |
Библиографическая ссылка |
Pfankuch, H., Contribution a l'étude des déplacements des fluides miscibles dans un milieu poreux, Rev. Inst. Fr. Pétrole, 182, 215, 1963. |
Библиографическая ссылка |
Poreh, M., The dispersivity tensor in isotropic and axisymmetric mediums, J. Geophys. Res., 7016, 3909–3914, 1965. |
Библиографическая ссылка |
Saffman, P. G., A theory of dispersion in a porous medium, J. Fluid. Mech., 6, 321–349, 1959. |
Библиографическая ссылка |
Saffman, P. G., Dispersion due to molecular diffusion and macroscopic mixing in flow through a network of capillaries, J. Fluid. Mech., 7, 194–208, 1960. |
Библиографическая ссылка |
Shamir, U., D. R. F.Harleman, Numerical solutions for dispersion in porous mediums, Water Resour. Res., 32, 557–581, 1967. |
Библиографическая ссылка |
Van Dyke, M., Perturbatiov, Methods in Fluid Mechanics, 227, Academic, New York, 1964. |