Nonlinear Seepage Of Deformable Double Media Fractal Reservoir And Its Mathematical Solution Research

It's well known that question of unstable seepage flow in heterogeneous reservoir is an important and difficult task in the research of porous media percolation mechanics. A series of research achievements about the theory and experiment show that many phenomenons of percolation mechanics in have the property such as permeability distribution, porosity distribution, fractal network distribution in fractal gas and oil reservoir and so on. Since Warren-Root model in homogeneous reservoir is based on Euclid geometric and isn't suit for homogeneous reservoir with pressure-sensitive deformation property. But fractal geometric theory is a facility and effective way to describe these properties with many different dimensions and poor connectivity, even terrific disorder in spatial distribute. In recent years, the seepage flow mathematical models in fractal reservoir have been extensively developed and applied and have become important models to research nonlinear seepage flow regularity in complex reservoir. But all the developed fractal models have not researched the aspects of fractal reservoir with double media pressure sensitive deformation property. With the exploitation of gas and oil fields, it's no doubt that it is important to pursue simple and effective numeric methods to solve the mathematical models in order to meet the need of unsteady seepage flow theory study and application as well as necessary to further of deformable reservoir.On the basis of the theory and knowledge of many learning branches such as fractal geometric, the percolation mechanics, the reservoir engineering, mathematic and physics method, numeric analysis method, compute graphic procession method and so on, this thesis based on the developed research work, concludes the following a few facets to the unsteady seepage flow mathematical models in the pressure-sensitive deformable double media fractal reservoir.(1) Fractal geometric theory and method are good approximations to describe the complicity and we can more easily analyze all kinds of the pressure-sensitive deformable double media fractal complex reservoir relatively than others. Based on Warren-Root model, introducing fractal parameter (d_f and θ ) and deformable coefficient (α_f,β_f), thisthesis constructed all kinds of seepage flow mathematical models to the defined production or...