Some nonlinear problems of groundwater flow through a porous medium |
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| Authors: | V. N. Zyryanov A. P. Frolov M. G. Khublaryan |
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| Affiliation: | (1) Department of Physics, Zhejiang University of Technology, Hong Zhou, China;(2) CASPER, Department of Physics, Baylor University, Waco, TX 76798, USA;(3) Department of Mathematics, Baylor University, Waco, TX 76798, USA |
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| Abstract: | Self-similar solutions of the equation of groundwater gravity flow through a porous medium are given. The water flows from a basin into an underground permeable reservoir bounded from below by an impervious bed. A periodic problem of flow through a porous medium in which the water level in the basin periodically oscillates is considered. It is shown that in this case the water table elevation effect, i.e., water pumping into the aquifer, develops at a sufficient distance from the littoral zone. The invariant-group solutions of the problem of flow through a porous medium are investigated with allowance for evaporation from the groundwater surface. |
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