Exact values of efficiency for Muskat well arrays. (English. Russian original) Zbl 0926.76117

Kasimov, A. R.; Obnosov, Yu. V.

Phys.-Dokl. 42, No. 3, 155-157 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 2, 193-195 (1997).

This paper extends a previous work of the authors [Fluid Dyn. 30, No. 5, 758-766 (1995; Zbl 0861.76085); translation from Izv. Akad. Nauk, Mekh. Zhidk. Gaza 1995, No. 5, 139-148 (1995)] in which formulas for efficiency were derived using a solution of Laplace equation presented as a series of terms related to a double-periodic array of sources and sinks modelling the wells. In the calculation of migration times for the tracers, these series were truncated, and the final formulas were derived for a limited range of \(\underline e\), where \(\underline e\) is the ratio of the distance between well rows to the distance between wells within a row.
In this paper the authors derive exact expressions for the efficiency, valid for any value of \(\underline e\). These expressions are obtained for a linear, checkered, or for seven-well array.

Reviewer: R.Stavre (Bucureşti)

MSC:

76S05

Flows in porous media; filtration; seepage

Keywords:

linear array; checkered array; series truncation; Laplace equation; double-periodic array of sources and sinks; migration times; seven-well array

Citations:

Zbl 0861.76085