Crack micro-geometries and tribological properties have a significant influence on the elastic characteristics of naturally fractured reservoirs. Numerical simulation as a promising approach for this issue still faces some challenges. For this purpose, we develop an integrated numerical scheme accounting for roughness effects by coupling a modified lattice spring model (LSM) with discrete fracture networks (DFNs). Complex fracture networks presented by DFNs are automatically extracted based on the gradient Hough transform algorithm (GrdHT). Smooth joint logic (SJL) is employed to avoid the artificial roughness effect from numerical discretization. Improved constitutive laws are also implemented in the modified LSM to calculate the realistic normal force-displacement from rough contact deformation. We validate this presented framework through theoretical solutions. It shows the potential for reconstructing actual structural attributes and quantitatively investigating the fracture attributes and microscale surface roughness effects on elastic characteristics.

裂缝的微观几何形状和摩擦学性质对天然裂缝性储层的弹性特征有重要影响。作为解决该问题的一种有前景的方法，数值模拟仍然面临一些挑战。为此，我们通过将改进的晶格弹簧模型（LSM）与离散断裂网络（DFNs）耦合，开发了解决粗糙度影响的集成数值方案。基于梯度霍夫变换算法（GrdHT）可以自动提取DFN呈现的复杂裂缝网络。采用平滑联合逻辑（SJL）避免了数值离散化带来的人为粗糙度影响。在改进的LSM中还实现了改进的本构定律，以根据粗糙的接触变形来计算实际的法向力位移。我们通过理论上的解决方案来验证此框架。它显示了重建实际结构属性以及定量研究断裂属性和微观表面粗糙度对弹性特征的影响的潜力。