Complex fracture description and quasi-elastic energy development mathematical model for shale oil reservoirs

Wang Rui, Zhengdong Lei, Jia Han, Yang Yang, Yan Yiqun
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Abstract

Reservoir numerical simulation is an important tool and method for the reasonable and efficient development of shale reservoirs. Accurate description of three-dimensional fractures in shale reservoir development is a necessary and sufficient condition to improve the accuracy and robustness of shale reservoir numerical simulation. This paper achieves precise characterization of complex fracture shapes and oil, gas and water flow by establishing an embedded discrete fracture model based on a non-structural network, which has advantages in the fine characterization of complex morphological fractures in the reservoir and the grid division of the reservoir. In the large matrix solution method, the Newton-Raphson method is used to linearize the nonlinear equations, the Jacobian matrix is ​​constructed, the ILU method is used for preprocessing, the conjugate gradient method is used to solve the linear equations, and the shale oil quasi-elasticity is established A fully implicit solution method for mathematical models of energy development.
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页岩油藏的复杂断裂描述和准弹性能量开发数学模型
储层数值模拟是页岩储层合理高效开发的重要工具和方法。准确描述页岩储层开发中的三维裂缝是提高页岩储层数值模拟精度和鲁棒性的必要条件和充分条件。本文通过建立基于非结构网络的嵌入式离散裂缝模型,实现了对复杂裂缝形态和油气水流的精确表征,在储层复杂形态裂缝的精细表征和储层网格划分方面具有优势。在大矩阵求解方法中,采用牛顿-拉夫逊法对非线性方程进行线性化,构建雅各布矩阵,采用 ILU 法进行预处理,采用共轭梯度法求解线性方程,建立了页岩油准弹性 能源开发数学模型的全隐式求解方法。
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