水平井压裂裂缝拟三维延伸数学模型研究

Study on Mathematical Model for Three -dimensional ＂Extension of the Horizontal Well Fracturing

对于低渗水平井，水力压裂是一种有效的增产措施。而裂缝几何模型是水力压裂设计的关键问题之一，由于二维压裂模型假设裂缝高度是恒定不变的常数，往往计算的结果跟实际有很大的差距。针对二维压裂模型的不足，进行了拟三维压裂模型的研究，建立了一套新的裂缝拟三维延伸模型，并且对建立的数学模型进行了求解。

For low permeability wells, hydraulic fracturing is an effective stimulation. The crack geometry is one of the key issues in the design of hydraulic fracturing, as two - dimensional fracture model assumes constant fracture height, the result of calculation often has a large gap with the actual. Therefore, aiming at this lack of two - dimensional fracture model, three - dimensional fracture model was studied, a new three - dimensional extension model of crack was established, and the model was solved.