复合油藏非自喷DST试井数学模型的建立及其解的特征

在低渗透油田的测试过程中，井筒中的流体常因流不出地表而在井筒中发生段塞式流动，使流动与恢复测试阶段的井筒压力均上升。针对这种流动特征，建立了描述复合油藏非自喷ＤＳＴ测试流动与恢复全历史的数学模型，并求得其拉氏空间解。由于考虑了流动期的流动特性，因此，该模型的解更能精确地反映地层特征。研究了拉氏反演后真实空间解的特性，给出了分析实测资料的具体方法。所得到的分析方法可用于分析钻井完井过程中的非自喷ＤＳＴ测试资料及所有低渗透油藏测试过程中的非自喷段塞流动试井资料。

MATHEMATICAL MODEL FOR NON FLOWING DRILLSTEM TESTS (DST) IN COMPOSITE RESERVOIR

During well testing in low permeability reservoir, the produced fluids could not flow out of the wellbore, and there occurred a slug flow at wellbore. The bottomhole pressure raised during production and shut in periods. A mathematical model for analyzing a completed pressure history of non flowing DST problem in combined field is proposed, and a Laplace solution for the model is presented. This model can describe flowing features during production and shut in periods. The properties of the solution in real space were studied. A method for analyzing testing record is given. The analysis method can be extended for the case of other slug flow well testing.