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Self-Similar Spreading of Groundwater Mound in the Presence of Steady Source

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Abstract

The problem of self-similar flat spreading of groundwater mound in porous stratum bounded by impermeable bed in the presence of constant in time and localized in space source of liquid has been considered. Basing on dimension analysis method, the problem was reduced to ordinary differential equations. One-dimensional and two-dimensional cylindrically symmetrical cases were investigated. Intermediate asymptotics for pressure head distribution was obtained, and limits to applicability of solutions were analyzed.

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Acknowledgments

We acknowledge support from the Russian Foundation for Basic Research (RFBR) under Project No. 15-08-05241.

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Authors and Affiliations

  1. Nuclear Safety Institute, Russian Academy of Sciences, Bolshaya Tul’skaya St. 52, Moscow, Russia, 115191

    K. A. Anokhina & L. V. Matveev

  2. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, Moscow Region, Russia, 141700

    L. V. Matveev

Authors
  1. K. A. Anokhina
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  2. L. V. Matveev
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Correspondence to L. V. Matveev.

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Anokhina, K.A., Matveev, L.V. Self-Similar Spreading of Groundwater Mound in the Presence of Steady Source. Transp Porous Med 115, 53–61 (2016). https://doi.org/10.1007/s11242-016-0751-6

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  • DOI: https://doi.org/10.1007/s11242-016-0751-6

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