Working Paper Article Version 1 This version is not peer-reviewed

The Study on Modeling and Simulation of Shale Multi-Scale Matrix-Fracture System

Version 1 : Received: 7 July 2021 / Approved: 9 July 2021 / Online: 9 July 2021 (11:01:56 CEST)

How to cite: Gao, Q. The Study on Modeling and Simulation of Shale Multi-Scale Matrix-Fracture System. Preprints 2021, 2021070216 Gao, Q. The Study on Modeling and Simulation of Shale Multi-Scale Matrix-Fracture System. Preprints 2021, 2021070216

Abstract

Due to the success of the shale gas revolution in the United States, shale gas has become an important part of the world's energy supply. Shale gas is receiving more and more research and attention due to its high efficiency, cleanliness, and low carbon. Many studies have shown that shale is a complex porous medium with multi-scale pores and well-developed fracture networks. This paper aims to use mathematical modeling and numerical simulation methods to transport shale gas in a complex multi-scale matrix-fracture system. In this study, Monte Carlo stochastic algorithm was used to establish a digital model of shale gas multi-scale matrix block and three-dimensional discrete fracture network. Based on the transmission mechanisms of shale gas, this paper derives the mathematical models of shale gas transmission in the multi-scale matrix-fracture system and uses the finite element numerical simulation method to solve and study the transmission law of shale gas in the multi-scale matrix fracture system. The model is verified by real shale gas field data. The results of this paper show that. the fractal distribution parameters of organic pores have a great influence on shale gas migration. When the fractal dimension is greater than 1.4, the increase in gas delivery is particularly obvious. Compared with organic pores, the influence of inorganic fractal pores is smaller. The occurrence of the fracture network has an influence of up to 25% on gas production. The optimal fracture density is 200. This study is of great significance for the economic and efficient development of shale gas.

Keywords

Shale gas; Flow mechanisms; multi-scale; discrete fracture

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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