According to the finite element and the optimal method, the multi-well constrained optimization back-analysis model is proposed. Optimizing and approximating the objective function through the variation of injection and production rate on the basis of the measured pressure of observation wells, and eventually the real storage capacity for depleted gas reservoir is obtained. Finally, the presented model is applied to a simple example of water driving reservoir,while the forward calculated results at each time step are regarded as the assumed monitoring data. The examples show that the calculated results are in good agreement with the measured pressure of observation wells and can meet the actual engineering demands.%基于有限元法和最优化方法建立了衰竭气藏型地下储气库库存量动态预测的多井约束优化反分析模型.该模型根据研究区域观察井实测压力资料进行反演,通过反复调整注采量使得观察井模拟压力值与实测压力值达到最优拟合,得到衰竭气藏型地下储气库真实库存量.最后以国内某拟建水驱气藏型地下储气库为例,以各时刻动态正分析计算结果作为“假想”的实测压力数据进行地下储气库库存量动态反演.计算结果表明:反演值与实测值吻合较好,算例证明了多井约束优化反分析模型的计算精度和可靠性.
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