Research On Well Test Model Of Fractured-vuggy Carbonate Reservoir

Due to the big difference between the formation reasons and conventional reservoir,fracture-cavity carbonate rock caused a lot of difficulties to the development of this kind of reservoir.And the related effective means for correct oil and gas reservoir is to establish a mathematical model for well testing analysis.And quality of this kind of reservoir has a very strong anisotropy,so the solution is complex in the establishment of mathematical model of partial differential equation.In this paper,through the investigation of the domestic and foreign literature,on the basis of the previous model,the problems of well testing models for fracture-cavity carbonate rock was studied.With oil and gas seepage mechanics as the basic theoretical point of view and mathematical methods as research methodology,this paper take single well as the research object and aims to establish some well testing models for fracture-cavity carbonate rock.Seeking the solution of partial differential equations from the mathematic model,this paper considers several common boundary conditions,applies the solution to the MATLAB program preparation,during which the numerical inversion method in employed.Moreover,It draws the corresponding non dimensionless pressure and dimensionless pressure derivative curve,and bestows mathematics method to carries on sensitivity analysis for some of the mathematical parameters.The works done in this paper are:(1)the domestic and foreign literature research,Mathematical Fluid on cave carbonate reservoir in three different medium percolation description have been researched.(2)After the establishment of vertical wells mathematical model with dual media fully open and partial open,through numerical calculation method,this paper employs Duhamel's principle of superposition to take the skin effect and wellbore storage effect into account,as a result,the mathematical model is solved under several kinds of boundary conditions,and the sensitivity analysis of some mathematical parameters is carried out by drawing the corresponding model curve.(3)Based on the mathematical model of the quasi steady state and unsteady state flow in the three heavy medium of the fracture cavity type carbonate rock,the solutions of several kinds of boundary conditions are obtained,the model curves are plotted and the sensitivity analysis is made to some mathematical parameters.(4)In the case of considering the skin effect and wellbore storage effect,the mathematical model of the three heavy medium fracturing horizontal well is established,the corresponding model curve is drawn,and the sensitivity analysis of some mathematical parameters is made.