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He, Jihuan

Approximate analytical solution for seepage flow with fractional derivatives in porous media. (English) Zbl 0942.76077

Comput. Methods Appl. Mech. Eng. 167, No. 1-2, 57-68 (1998).
Summary: We propose an exact model for seepage flow in porous media with fractional derivatives, which modifies the well-known Darcy law and overcomes the continuity assumption of seepage flow. A variational iteration method is described and used to give approximate solutions of the problem. The results show that the proposed iteration method, requiring no linearization or small perturbation, is effective.

Cited in 1 Review
Cited in 458 Documents

MSC:

76S05 Flows in porous media; filtration; seepage
76M30 Variational methods applied to problems in fluid mechanics

Keywords:

seepage flow; porous media; fractional derivatives; Darcy law; variational iteration method; approximate solutions
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\textit{J. He}, Comput. Methods Appl. Mech. Eng. 167, No. 1--2, 57--68 (1998; Zbl 0942.76077)
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References:

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