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Using the Spline Function to Restore the Permeability Field under Three-Phase Flow Filtration
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-10-01 , DOI: 10.1134/s1995080221090079
A. V. Elesin 1 , A. Sh. Kadyrova 1
Affiliation  

Abstract

The inverse coefficient problem of determining the absolute permeability field in the form of a spline function under a three-phase flow in a porous medium is considered. The problem is reduced to minimization of the residual function which constructed on the known values of the flow rate on the wells. The influence of errors in the flow rate measurements on the calculated fields of the absolute permeability is studied by the example of solving a model problem.



中文翻译:

用样条函数恢复三相流过滤下的渗透场

摘要

考虑了多孔介质中三相流下以样条函数形式确定绝对渗透场的反系数问题。该问题被简化为最小化剩余函数,该剩余函数建立在井上已知的流速值上。以求解模型问题为例,研究了流速测量误差对绝对渗透率计算场的影响。

更新日期:2021-10-02
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