Abstract
Considering start-up pressure gradient, the problem of non Darcy unstable percolation in low permeability deformed medium reservoir is studied. By the homogenization of non-homogeneous boundary conditions and the method of separating variables, the analytical solutions of unstable percolation are obtained under the four boundary conditions of constant injection volume, constant injection pressure, constant production and constant flow pressure. Taking the boundary conditions of constant injection pressure of injection well and constant production of production well as an example, the classical proof of the analytical solution is given. Combined with an example, the reliability and effectiveness of the acquired solution are verified. The calculation results of the analytical solution of unstable percolation are discussed. The effects of pressure-sensitive coefficient and start-up pressure gradient on the characteristics of pressure distribution between injection and production wells are also analyzed.
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This paper was prepared for presentation at the 2022 International Field Exploration and Development Conference in Xi’an, China, 16–18 November 2022.
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The project is supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region (Number 2021D01A202).
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Yang, Lm. (2023). Study of Unstable Percolation in Low Permeability Deformed Medium Reservoir with Start-Up Pressure Gradient. In: Lin, J. (eds) Proceedings of the International Field Exploration and Development Conference 2022. IFEDC 2022. Springer Series in Geomechanics and Geoengineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-1964-2_189
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DOI: https://doi.org/10.1007/978-981-99-1964-2_189
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