An ultrafast simulator for 3D propagation of a hydraulic fracture with rectangular shape

Abstract

Abstract We build a new ultrafast simulator of a three-dimensional hydraulic fracture growth in a layered rock. To significantly enhance computational speed, we restrict the modeled fracture to a rectangular shape. The model solves all basic hydraulic fracture mechanics equations either analytically or numerically. All equations except for fracture tip growth are solved analytically using known linear elasticity solutions for a rectangular displacement discontinuity and plane strain. The analytical model allows extremely fast fracture simulations. The algorithm of fracture tip incrementation during the growth is relatively simple, numerically stable, and fast-running. With such a new implementation of fracture growth, we achieved high computation speed while retaining sufficient accuracy. This becomes evident in this work, where we compare the new model results with simulations performed with commercial planar 3D and pseudo-3D models. Previously developed two-dimensional and pseudo-3D models, which can achieve comparable speed, are known to be limited in properly predicting fracture height growth. Our model eliminates the drawbacks and at a fast runtime. That makes our model applicable for extensive bulk runs in the field development planning or for solving inverse problems in real time, for example, automatic pressure match and fracture simulation in the real time of the fracturing job.