Base On The Similar Structure For Non-linear Fluid Flow Analysis In Dual-porosity Media Reservoir

According to fluid flow mechanism of oil reservoir, the nonlinear fluid flow mathematicalmodel of dual-porosity media reservoir is established, four conditions (which neither take intoeffective well bore radius nor well bore storage account; only well bore storage is considered;only effective well bore radius is considered; both effective well bore radius and well borestorage are considered) is taken into consideration for well bore and bottom hole in this model.By using Laplace transform and reasonable approximate process, then the similar structure(which only is determined by inner boundary conditions) of dimensionless reservoir pressureand bottom hole flowing pressure and similar kernel functions (which only are in connectionwith basic solution set of the fixed solution problem and outer boundary conditions, what’smore, different outer boundary conditions correspond to different similar kernel functions,having nothing to do with inner boundary conditions) are obtained under three outer boundaryconditions in Laplace space. This study not only reveals essential characteristic of fluid flow indual-porosity media, but also provides a new analytical theory for studying deeply thenonlinear fluid flow laws of this kind of reservoir. Further, and it is of great convenience andshortcut to program relevant well test analysis software as well, which has an extensiveapplication prospect.