基于FrackOptima的PKN型水力裂缝数值模拟分析

Simulation Analysis of PKN Hydraulic Fracturing Model Based on FrackOptima

使用FrackOptima全三维水力压裂软件模拟计算了PKN型水力裂缝在存储效应主导条件下和滤失效应主导条件下的扩展过程。该软件首先使用边界元素进行离散化网格划分,然后通过边界元算法进行数值模拟。将数值计算结果和相关参数条件下的PKN模型半解析解进行对比。结果表明,在缝高方向上仅设置5个元素的条件下,数值计算结果就能够和半解析解较好地吻合,最大误差不超过10%。研究结果验证了该软件的精度和效率,为进一步使用该软件进行水力压裂实际方案的优化提供了理论基础。

The paper investigates the Perkins-kem-nordgren-type hydraulic fracturing under the storagedominated and leak-off-dominated conditions with a fully-three-dimensional simulator FrackOptima. The simulator discretized the domain of interest with boundary elements,and conducted the simulation with the boundary-element method subsequently. The results of the numerical simulation were compared with those of the semi-analytical solutions. The comparisons demonstrate a satisfying match between the numerical results and the semi-analytical results with the maximum error lower than 10%,when only five elements are placed along the fracture height. The study validates the accuracy and efficiency of the simulator,providing theoretic basis to further implement the simulator for optimization of practical fracturing treatment.