关键词: δ函数, 间歇试采, 压力分布, 产能评价, 试井分析, 叠加原理

Abstract: The intermittent pumping technique is often used in the low-permeability reservoir with poor deliverability.In this case, the downhole pressure transforms discontinuously.δ function is a mathematical tool to describe the discontinuous distribution of physics quantity.On the basis of δ function theory,the formation pressure distribution of instantaneous injection or after producing certain quantity of fluid were calculated with the density equations.The calculated pressure distribution and downhole pressure were superposed and simulated under the intermittent pumping condition.The downhole pressure expression was used to match the intermittent pumping pressure history.This method can provide the basis for well testing analysis and production evaluation.The calculation case of an intermittent producing well in Daqing Oilfield is presented.The comparison of calculated data with field data proved that this method is possible.

Key words: δ function, intermittent pumping, pressure distribution, productivity evaluation, well testing analysis, superposition theory