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A Constrained Pressure-Temperature Residual (CPTR) Method for Non-Isothermal Multiphase Flow in Porous Media
SIAM Journal on Scientific Computing ( IF 3.1 ) Pub Date : 2020-07-30 , DOI: 10.1137/19m1292023
Thomas Roy , Tom B. Jönsthövel , Christopher Lemon , Andrew J. Wathen

SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B1014-B1040, January 2020.
For both isothermal and thermal petroleum reservoir simulation, the constrained pressure residual (CPR) method is the industry-standard preconditioner. This method is a two-stage process involving the solution of a restricted pressure system. While initially designed for the isothermal case, CPR is also the standard for thermal cases. However, its treatment of the energy conservation equation does not incorporate heat diffusion, which is often dominant in thermal cases. In this paper, we present an extension of CPR: the constrained pressure-temperature residual (CPTR) method, where a restricted pressure-temperature system is solved in the first stage. In previous work, we introduced a block preconditioner with an efficient Schur complement approximation for a pressure-temperature system. Here, we extend this method for multiphase flow as the first stage of CPTR. The algorithmic performance of different two-stage preconditioners is evaluated for reservoir simulation test cases.


中文翻译:

多孔介质中非等温多相流的约束压力-温度残差(CPTR)方法

SIAM科学计算杂志,第42卷,第4期,第B1014-B1040页,2020年1月。
对于等温和热油藏模拟,约束压力残差(CPR)方法是行业标准的预处理器。该方法是一个分为两个阶段的过程,涉及到限制压力系统的解决方案。虽然最初是为等温箱设计的,但CPR还是热箱的标准。但是,其对能量守恒方程的处理并未包含热扩散,而热扩散通常在热情况下占主导地位。在本文中,我们提出了CPR的扩展:约束压力-温度残差(CPTR)方法,其中在第一阶段解决了压力-温度限制系统。在先前的工作中,我们为压力-温度系统引入了具有有效Schur补码近似的块预处理器。这里,我们将此方法扩展为CPTR的第一阶段,用于多相流。针对储层模拟测试案例,评估了不同两阶段预处理器的算法性能。
更新日期:2020-07-30
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