关键词: 能量守恒, 热力学第一定律, 油气藏能量方程, 最优化配产, 数学模型, 均能开采

Abstract: A new method of optimal oil/gas reservoir production allocation among wells is presented. Based on the idea of energy conservation, the equation of oil/gas reservoir energy conservation(EOREC) is derived by applying the first law of thermodynamics to quantitatively exam the process of reservoir development. Total reservoir energy depletion at a minimal speed, and reservoir oil/gas production rate (ROPR/RGPR) is regarded as the objective and constraint condition of optimal production allocation respectively according to the structure of EOREC, a new mathematical model with sound physics background is found when applying EOREC to the problem of production allocation. The existence of the minimum value of the objective function in the mathematical model can be proved by using theory of algebra. Lagrange′s method is employed to get the point at which the minimum value reaches. The minimum point is a system of nonlinear equations which can be solved to get well oil/gas production rate (WOPR/WGPR) at bottom hole flow pressure. The theory will be useful for numerical simulation of optimal oil/gas reservoir production allocation among wells. The concept of meanenergy production can be generalized from the results to guide the practice of production allocation.

Key words: energy conservation, first law of thermal dynamics, reservoir energy equation, optimization of production, allocation, mathematical model, mean energy production