Research on the influence of rock fracture toughness of layered formations on the hydraulic fracture propagation at the initial stage

Kairui Li , Chengzhi Qi , Mingyang Wang , Jie Li , Haoxiang Chen
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Abstract

Deep underground rocks exhibit significant layered heterogeneity due to geological evolution and sedimentation. Rock fracture toughness, as one of the important indicators of hydraulic crack propagation, also exhibits heterogeneous distribution. In order to investigate the influence of non-uniform fracture toughness of layered rocks on hydraulic crack propagation, this paper establishes a planar three-dimensional hydraulic crack propagation model. The model is numerically solved using the 3D displacement discontinuity method (3D-DDM) and the finite difference method. The calculation results indicate that when the distribution of the fracture toughness of layered rocks changes from uniform to non-uniform, the fracture morphology develops from a standard circular crack to an elliptical crack. When the difference of the rock fracture toughness between adjacent rock layers and the middle rock layer (pay zone) is large enough, the fracture morphology will develop towards a rectangular shape. In addition, when the fracture toughness of rock layers is non-uniformly distributed, the hydraulic crack not only rapidly expand in the softening layer (rock layer with lower fracture toughness), but also slowly propagate in the strong layer (rock layer with higher fracture toughness). However, the propagation speed in the softening layer is much faster than that in the strong layer. The results indicate that the heterogeneity of rock fracture toughness has an important impact on the morphology, propagation speed, and direction of hydraulic fractures.

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层状地层岩石断裂韧性对初期水力裂缝扩展的影响研究
由于地质演变和沉积作用,地下深层岩石呈现出明显的层状异质性。岩石断裂韧性作为水力裂缝扩展的重要指标之一,也呈现出异质性分布。为了研究层状岩石非均匀断裂韧性对水力裂缝传播的影响,本文建立了一个平面三维水力裂缝传播模型。该模型采用三维位移不连续法(3D-DDM)和有限差分法进行数值求解。计算结果表明,当层状岩石的断裂韧性分布由均匀变为非均匀时,裂缝形态由标准圆形裂缝发展为椭圆形裂缝。当相邻岩层与中间岩层(付岩带)的岩石断裂韧性相差足够大时,断裂形态将向矩形发展。此外,当岩层的断裂韧性分布不均匀时,水力裂缝不仅在软化层(断裂韧性较低的岩层)迅速扩展,而且在强力层(断裂韧性较高的岩层)缓慢扩展。但是,在软化层中的扩展速度远远快于在强力层中的扩展速度。结果表明,岩石断裂韧性的异质性对水力裂缝的形态、传播速度和方向有重要影响。
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