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Time-Dependent Shape Factors for Uniform and Non-Uniform Pressure Boundary Conditions

机译:用于均匀和非均匀压力边界条件的时间依赖性形状因子

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Matrix-fracture transfer functions are the backbone of any dual-porosity or dual-permeability formulation. The chief feature within them is the accurate definition of shape factors. To date, there is no completely accepted definition of matrix-fracture transfer function. Many definitions of shape factors for instantly-filled fractures with uniform pressure distribution have been presented and used; however, they differ by up to five orders of magnitude. Based on a recently presented definition of transfer function, time-dependent shape factors for pressure driven flow and for water imbibition are proposed. Also new matrix-fracture transfer pressure-based shape factors for instantly-filled fractures with nonuniform pressure distribution are presented in this paper. These are the boundary conditions for a case for porous media with clusters of parallel and disconnected fractures, for instance. These new pressure-based shape factors were obtained by solving the pressure diffusivity equation using non-uniform boundary conditions. This leads to time-dependent shape factors because of the transient part of the solution for pressure. However, approximating the solution with an exponential function, one obtains constant shape factors that can be easily implemented in current dual-porosity reservoir simulators. They provide good results for systems where the transient behavior of pressure is short (a case commonly encountered in fractured reservoirs).
机译:基质 - 骨折转移功能是任何双孔隙率或双渗透配方的骨干。它们内的主要特征是形状因素的准确定义。迄今为止,矩阵骨折传递函数没有完全接受的定义。已经提出并使用了具有均匀压力分布的瞬间填充骨折的形状因子的许多定义;但是,它们的数量数量差异多达五个数量级。基于最近呈现的传递函数定义,提出了用于压力驱动流动和水性吸收的时间依赖性形状因子。此文还提出了新的基于基于基于基于基于基于基于基于基于基于基于裂缝的骨折的形状因子。例如,这些是具有平行和断开裂缝簇的多孔介质的壳体的边界条件。通过使用非均匀边界条件求解压力扩散性方程来获得这些新的基于压力的形状因子。这导致时间依赖性形状因子,因为溶液的瞬态部分是压力的。然而,用指数函数近似溶液,获得恒定的形状因子,可以在电流的双孔隙储层模拟器中容易地实现。它们为压力短暂的系统提供了良好的结果(一种在裂缝储层中通常遇到的情况)。

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