Single Fuzzy Parameter Seepage Model of Oil and Gas Reservoir

Abstract

In the process of modeling, the reservoir permeability is often regarded as a certain value in the traditional flow model of oil and gas reservoir, but most reservoir areas are uneven and complex and so this idealization will lead to a great decrease in the accuracy of the model. Given this, this paper puts forward fuzzy permeability, which makes the model more in line with the seepage situation, and then improves the accuracy of the model. At the same time, the fuzzy function theory is studied deeply and systematically. On this basis, according to the seepage law and physical property of the oil and gas reservoir, the fuzzy seepage differential equation and the fuzzy boundary value condition of the reservoir are established. Then, the solution of the fuzzy seepage problem of the oil and gas reservoir is achieved. Compared with the traditional seepage model, the fuzzy seepage model can describe the flow in the reservoir more accurately. The definition of fuzzy permeability and the construction of fuzzy seepage equation provide a new method and a novel idea for studying the seepage of the reservoir. INDEX TERMS Fuzzy permeability, fuzzy differential equation, fuzzy seepage, oil and gas reservoir.