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arXiv · 2304.11849

Analysis of a FEM-MCM Discretization for the 2D/3D stochastic closed-loop geothermal system

Yi Qin·Xinyue Gao·Lele Chen·Liangliang Jiang·Zhangxin Chen·Jian Li
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Abstract

This paper develops a new 2D/3D stochastic closed-loop geothermal system with a random hydraulic conductivity tensor. We use the finite element method (FEM) and the Monte Carlo method (MCM) to discrete physical and probability spaces, respectively. This FEM-MCM method is effective. The stability for velocity and temperature is rigorously proved. Compared with the deterministic closed-loop geothermal system, a same optimal error estimate for approximate velocity and temperature is obtained. Furthermore, a series of numerical experiments were carried out to show this method has better stability and accuracy results.

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Yi Qin, Xinyue Gao, Lele Chen, Liangliang Jiang, Zhangxin Chen, Jian Li. 2023-04-24. Analysis of a FEM-MCM Discretization for the 2D/3D stochastic closed-loop geothermal system. https://arxiv.org/abs/2304.11849

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