The Research Of The Filtration Theory Under The Condition Of Intermittent Production Well Testing

Fluid mechanics in porous medium is a basic subject of oil development. In the process of oil development, due to different oil developing methods, flow of formation fluid becomes verycomplex for low-permeability oilfield . For example, the shape of pressure drop funnel becomesanomalous under intermittent pre-production, and so on. Solution of percolation equation also becomes more difficult when boundary geometry or initial pressure distribution of formation is complex enough. this thesis focuses on the fluid mechanics of intermittent pre-production (pressure distribution of formation is complex) and casing perforation (boundary condition is complex) at complex flow by integrating theory derivation with test data verification. Main study content and achievement of the thesis is as follows.The filtration theory of complex flow was studied under the condition of intermittent production well testing. The physical model was developed according to the actual producing condition. Studying on theoretical model:1 .The rule of reservoir Pressure distribution and bottom hole flowing pressure alteration of a periodic trial-produce well in infinity subterranean formation;2.The rule of Pressure distribution and bottom hole flowing pressure alteration of a periodic trial-produce well near a faultage;3.The rule of pressure distribution and bottom hole flowing Pressure alteration of a Periodic trial-produce well in the radial compounding stratum.;4.The rule of pressure distribution and bottom hole flowing pressure alteration of a Periodic trial-produce well in the stratum with circular boundary;5.The rule of pressure distribution and bottom hole flowing pressure alteration of a Periodic trial-produce well with fissure after fracturing (finite conductivity, infinite conductivity, uniformly flow rate).The percolation equation solutions were studied systematically and resolved respectively for multiple well types and anisotropic layers. The semi-numerical and semi-analytical expression was obtained, by which, we can deal with very complex mathematics problems due to the initial condition nonlinearity and multi-pulse filtration flow (including the resolution methods, the grid division and numerical methods etc.), design and productivity evaluation of intermittent producing wells. It is the first time that the method and idea ofδfunction was presented to figure out the flow equation and analyze the down-hole pressure. It is demonstrated that the method ofδfunction is feasible and effective to resolve the percolation mechanics equation under the condition of intermittent production test.