模拟天然裂缝多孔介质中两相流动和地质力学变形的水-力耦合模型

Lijun Liu, Yongzan Liu, Xiaoguang Wang, J. Yao
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摘要

本文提出了一种流体流动和地质力学耦合模型,用于分析天然裂缝多孔介质中两相流动和变形行为。采用离散裂缝模型(DFM)来模拟两相流体的流动。采用零厚度界面元法结合改进的Barton-Bandis本构模型来模拟天然裂缝的力学行为。分别采用有限体积法(FVM)和有限元法(FEM)对流动方程和地质力学方程进行离散化。采用固定应力分裂算法迭代求解耦合问题。然后应用该模型研究了不同地应力条件下裂缝性多孔介质中两相流体的流动。结果表明:随着剪切膨胀引起的应力差增大,裂缝孔径显著增大,从而提高了裂缝介质的等效渗透率;裂缝扩张后形成通道状流动,导致水侵期提前,水波及效率降低。该研究说明了剪切膨胀对裂缝性多孔介质中两相流动行为的重要性,并强调了考虑剪切膨胀对准确预测饱和度分布的必要性。模拟还证明了我们的模型能够捕捉孔隙压力和地应力载荷之间相互作用引起的复杂耦合行为。
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A coupled hydro-mechanical model for simulation of two-phase flow and geomechanical deformation in naturally fractured porous media
This paper presents a coupled fluid flow and geomechanics model for analysis of two-phase flow and deformation behaviors in naturally fractured porous media. The discrete fracture model (DFM) is used to model two-phase fluid flow. The zero-thickness interface element method coupled with a modified Barton-Bandis’s constitutive model is applied to model the mechanical behavior of natural fractures. The finite volume (FVM) and finite element (FEM) methods are used for the discretization of flow and geomechanical equations, respectively. The coupled problem is iteratively solved using the fixed-stress splitting algorithm. Then the proposed model is applied to investigate the two-phase fluid flow in fractured porous media under various in-situ stress conditions. The results show that fracture aperture significantly increases as the differential stress increases due to shear dilation, which accordingly enhances the equivalent permeability of the fractured medium. Channelized flow is formed through the dilated fractures, which results in early water breakthrough and reduces the water sweep efficiency. This study illustrates the importance of shear dilation on two-phase flow behaviors in fractured porous media and highlights the necessity of considering shear dilation for accurate prediction of saturation distributions. The simulations also demonstrate the capacity of our model to capture the complex coupled behavior induced by the interaction between pore pressure and in-situ stress loadings.
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