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考虑启动压力梯度的稠油不稳定渗流数学模型解法十分繁琐,主要原因是控制方程具有强烈的非线性[1,2]。本文根据不稳定渗流方程的半解析解,在考虑启动压力梯度条件下,求出压力分布情况,再结合物质平衡原理,求得定产量生产时的不同时刻的供给边界[3,4],得出不同启动压力梯度下的激动边界随时间的变化,得到启动压力梯度对于“压降漏斗”的影响,以及不同时刻下的“压力漏斗”[5,6],并且定量确定启动压力梯度对地层能量和流体流动的损耗。
Considering the start of the pressure gradient of heavy oil unstable seepage mathematical model solution is very complicated, mainly due to the control equation has a strong nonlinear [1,2]. Based on the semi-analytic solution of unsteady seepage equation, the pressure distribution is obtained under the condition of starting pressure gradient. Combined with the principle of material balance, the supply boundary at different times of constant production [3, 4] The influence of starting pressure gradient on “pressure reducing funnel ” and “pressure funnel ” at different times [5, 6] are obtained and the activation boundary under different starting pressure gradients is changed over time, Pressure gradient depletion of formation energy and fluid flow.