Explicit form of the solution of the mixed problem for the seepage equation in a fractured-porous spatial layer with predominantly horizontal permeability

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI:10.1016/j.jappmathmech.2017.06.005

Kh.G. Umarov

引用次数: 0

Abstract

For the Barenblatt–Zheltov–Kochina model representation of seepage of a fluid in a fractured-porous rock, an explicit form of the solution of the mixed problem in a fractured-porous spatial layer with predominantly horizontal permeability is found by reducing the problem to solution of the abstract mixed problem in a Banach space.

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以水平渗透率为主的裂缝-孔隙空间层渗流方程混合问题的显式解

对于裂缝-多孔岩石中流体渗流的Barenblatt-Zheltov-Kochina模型，通过将裂缝-多孔空间层中以水平渗透率为主的混合问题简化为Banach空间中抽象混合问题的解，得到了混合问题解的显式形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.