Geodesic
Calculation of an unsteady moving-boundary flow in a porous medium by the generalized method of integral relations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 282-287 Cet article a éte moissonné depuis la source Math-Net.Ru

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Dorodnicyn's generalized method of integral relations is used to compute a Verigin-type single-phase unsteady flow in a porous medium. This problem describes the pumping of a gas through a gallery in a bounded horizontal aquifer and is associated with underground gas storage in aquifers. The case of an isothermal process and an ideal gas are considered. The viscosity of the gas is neglected. Sines are used as smoothing functions. The results obtained in the first and third approximations are presented and analyzed. The solution is compared with a finite-difference solution and that produced by the method of integral relations. The results are given in a table. 
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R. A. Mustafaev. Calculation of an unsteady moving-boundary flow in a porous medium by the generalized method of integral relations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 282-287. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a8/

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