【摘要】 大多数水力压裂裂缝是弯曲的，但以往的水力压裂模型都不能同时模拟裂缝的弯曲和止裂，文中建立了一种新的三维水力压裂模型，它可以计算模拟裂缝的弯曲和止裂。同时建立了与三维水力压裂模型相对应的计算方法，在给定压力分布条件下，利用Ｃｈｅｂｙｓｈｅｖ多项式的性质简化积分方程的求解，并计算裂缝宽度。更多还原

【Abstract】 Previous hydraulic fracturing numerical models can not simulate both thecurvature and containment of hydraulic fracturcs,although most fractures are curved.In thispaper. a new three-dimension hydraulic fracture model is developed,which can simulate boththe curvature and containment of hydraulic fractures.A new numerical method is alsodeveloped.Chebyshev polynomial is used to simplify the integral equations and solve thewidth of fractures.更多还原