| Numerical Simulation |
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A fully coupled and full 3D finite element model for hydraulic fracturing and its verification with physical experiments |
| BAO Jinqing1, YANG Chenxu1, XU Jianguo2, LIU Hongxia2, WANG Gaocheng3, ZHANG Guangming4, CHENG Wei4, ZHOU Desheng1 |
1. School of Petroleum Engineering, Xi'an Shiyou University, Xi'an 710065, China;
2. PetroChina Jilin Oilfield Company, Songyuan 138001, China;
3. PetroChina Zhejiang Oilfield Company, Hangzhou 310023, China;
4. PetroChina Research Institute of Petroleum Exploration & Development, Beijing 100083, China |
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Abstract Two sets of equation are proposed to describe the key mechanic issues in hydraulic fracturing including rock deformation, fracture propagation, fluid flow and leak-off in fractures, where the finite element method is taken as the numerical foundation. The fully coupled and full 3-D numerical model for hydraulic fracturing is set up via solving the coupled two sets of equation simultaneously. Comparisons of the numerical simulations from the model with two classical physical experiments are made, and they have excellent agreements on net pressure, fracture widths, fracture lengths, fracture propagation modes, et al. The numerical model is verified by the experiments, and shows that the cubic law in the hydraulic fracturing theory is still applicable even when the fracture widths are at the order of microns.
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| Keywords
hydraulic fracturing
full 3-D model
finite element method
experimental verification
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Issue Date: 14 July 2021
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2021,
Vol. 61
