A NUMERICAL DUAL-POROSITY MODEL WITH SEMIANALYTICAL TREATMENT OF FRACTURE MATRIX FLOW
A NUMERICAL DUAL-POROSITY MODEL WITH SEMIANALYTICAL TREATMENT OF FRACTURE MATRIX FLOW
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DOI：
10.1029/93wr00749
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发表时间：
1993-07-01
影响因子：
5.4
通讯作者：
BODVARSSON, GS
中科院分区：
文献类型：
--
作者：
ZIMMERMAN, RW;CHEN, G;BODVARSSON, GS
建立了裂缝/多孔介质中单相流体流动的双孔隙度模型。假定流动发生在裂缝网络中以及裂缝与基质块体之间。矩阵块以集总参数方式处理，每个矩阵块使用单个平均压力。与在Warren-Root模型中假设裂缝/基质通量与每个点的裂缝压力和基质压力之差成正比不同，我们使用了一个非线性方程，该方程更准确地模拟了所有时间制度（包括早期和晚期）的通量。将该通量方程与边界上有规定压力变化的球块的解析解进行了比较。在数值模拟器TOUGH中，非线性通量方程也被用作源汇项。修改后的代码允许比传统的Warren-Root方法更精确的模拟，与显式离散矩阵块的方法相比，节省了大量的计算时间（约90%）。
A new dual-porosity model is developed for single-phase fluid flow in fractured/porous media. Flow is assumed to take place through the fracture network and between the fractures and matrix blocks. The matrix blocks are treated in a lumped parameter manner, with a single average pressure used for each matrix block. Rather than assuming that fracture/matrix flux is proportional to the difference between the fracture pressure and matrix pressure at each point, as is done in the Warren-Root model, we use a nonlinear equation which more accurately models the flux over all time regimes, including both early and late times. This flux equation is compared with analytical solutions for spherical blocks with prescribed pressure variations on their boundaries. The nonlinear flux equation is also used as a source/sink term in the numerical simulator TOUGH. The modified code allows more accurate simulations than the conventional Warren-Root method, with a large savings (about 90%) in computational time compared to methods which explicitly discretize the matrix blocks.