Large-scale averaging analysis of single phase flow in fractured reservoirs
Journal Article
·
· SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States)
OSTI ID:7181229
- Texas A M Univ., College Station, TX (United States)
The method of large-scale averaging is introduced to derive and analyze the most general form of the dual-porosity model of single phase flow in naturally fractured reservoirs. The dual-porosity model contains the usual equations based on Darcy's law and the coupling terms representing the fluid transfer between the matrix and the fractures. A transient closure problem is developed to obtain and analyze the fracture and matrix permeability tensors and the fluid transfer terms. The spatial averaging theorem is presented from a mathematical point of view and proved rigorously by the distribution theory. The problem of wellposedness of the dual-porosity model is also considered. The techniques developed here are not restricted to either regular geometric fractures or spatially periodic reservoirs.
- OSTI ID:
- 7181229
- Journal Information:
- SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States), Journal Name: SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States) Vol. 54:3; ISSN SMJMAP; ISSN 0036-1399
- Country of Publication:
- United States
- Language:
- English
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