A homotopy series solution to a nonlinear partial differential equation arising from a mathematical model of the counter-current imbibition phenomenon in a heterogeneous porous medium

DOI10.1016/J.EUROMECHFLU.2016.07.005zbMath1408.76406OpenAlexW2498146268WikidataQ115353706 ScholiaQ115353706MaRDI QIDQ1671611

Twinkle R. Singh, Kajal K. Patel, Manoj N. Mehta

Publication date: 6 September 2018

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2016.07.005

zbMATH Keywords

homotopy analysis methodheterogeneous porous mediaimbibition

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Flows in porous media; filtration; seepage (76S05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (3)

Non-classical flow modeling of spontaneous imbibition in spatially heterogeneous reservoirs ⋮ Mathematical modeling of co-current spontaneous imbibition in heterogeneous porous medium ⋮ Simulation of counter-current imbibition phenomenon with Corey's model in double phase flow through heterogeneous porous medium with capillary pressure

Uses Software

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Cites Work

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• Exact flow of a third grade fluid past a porous plate using homotopy analysis method
• An explicit series approximation to the optimal exercise boundary of American put options
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• A mathematical model of imbibition phenomenon in heterogeneous porous media during secondary oil recovery process
• On the homotopy analysis method for nonlinear problems.
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Reservoir Simulation

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