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针对特殊的渗流现象,以均质油藏试井模型为例,建立了带有自由边界的试井模型;并利用不动点定理和积分变换思想考虑了模型的等价形式.“,”Aimed at the special seepage phenomenon,with heterogeneous reservoir as an example,the well test model with free boundary is established.And the equivalent form of model is considered by using the fixed point theorem and integral transform thoughts.