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- Title
Investigation on nonlinear multi-scale effects of unsteady flow in hydraulic fractured horizontal shale gas wells.
- Authors
Liu, Jiaxuan; Shang, Xinchun; Zhu, Weiyao
- Abstract
A unified mathematical model is established to simulate the nonlinear unsteady percolation of shale gas with the consideration of the nonlinear multi-scale effects such as slippage, diffusion, and desorption. The continuous inhomogeneous models of equivalent porosity and permeability are proposed for the whole shale gas reservoir including the hydraulic fracture, the micro-fracture, and the matrix regions. The corresponding semi-analytical method is developed by transforming the nonlinear partial differential governing equation into the integral equation and the numerical discretization. The non-linear multi-scale effects of slippage and diffusion and the pressure dependent effect of desorption on the shale gas production are investigated.
- Subjects
UNSTEADY flow; GAS wells; SHALE gas; HYDRAULIC fracturing; NONLINEAR statistical models; NONLINEAR partial differential operators
- Publication
Applied Mathematics & Mechanics, 2018, Vol 39, Issue 2, p181
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-018-2292-6