Analytical and numerical analysis of pressure drawdown in a poroelastic reservoir with complete overburden effect considered

作者：Yin Shunde^*; Dusseault Maurice B; Rothenburg Leo

来源：Advances in Water Resources, 2007, 30(5): 1160-1167.

DOI：10.1016/j.advwatres.2006.10.008

• poroelasticity
• porous media
• pressure drawdown
• Theis' solution
• Noordbergum effects
• finite element method
• displacement discontinuity method

Starting from an analytical reservoir model that incorporates full interaction with an elastic overburden, a new hybrid mathematical approach is developed by combining two numerical discretization methods. A tabular reservoir (petroleum reservoir or an aquifer) in an infinite or semi-infinite domain is viewed as a macroscopic displacement discontinuity, allowing use of the efficient displacement discontinuity mathematical method to calculate stresses and displacements that arise because of pressure changes. A 3-D finite element method using a poroelastic formulation is used to discretize the reservoir itself. By coupling the displacement discontinuity and finite element methods, a 3-D large-scale poroelastic reservoir can be simulated within an infinite or semi-infinite domain. The numerical model has been verified through comparison to known solutions, and some time-dependent pressure drawdown problems are analyzed. Results indicate that including the complete overburden (reservoir surroundings) response has a significant effect on pressure drawdown in a poroelastic reservoir during pumping, and should be incorporated in appropriate applications such as well test equations and subsidence analyses.

• 出版日期2007-5