水力压裂模拟实验中的相似准则

目前预测裂缝的几何形态多采用数值模拟方法 ,所应用的模型是比较简单的二维或拟三维模型。无论是从研究裂缝扩展机理的角度 ,还是从发展、验证新模型的角度来讲 ,模拟实验都是最基本的环节。相似理论可用来指导实验的根本布局。文章通过相似理论中的方程分析法将压裂控制方程无因次化 ,并导出对水力压裂模拟实验具有指导意义的相似准则与相似比例系数。该相似准则与de .Pater基于二维模型所得结果大体吻合。

DEVELOPMENT OF SCALING LAWS FOR HYDRAULIC FRACTURE SIMULATION TESTS

At present, predicting geometrical modality of cracks is based on the method of numerical simulation, and the applied model is the relatively simple 2 D model or quasi 3 D model. Modeling test is not only essential but also urgently needs developing for the study of fracture propagation mechanism and for the development and test of a new model. Similarity theory, to a great extent, is an experimental theory to guide the overall layout of the modeling test. In this paper, the equational analysis in similarity theory is used to transfer the fracturing control equation into dimensionless equations. The scaling laws and scaling factors are deduced, which is of great significance to hydraulic fracture simulation tests. The resulted scaling law is in good agreement to what de. Pater concluded from 2 D model.