Abstract
In the traditional well test models, the quadratic gradient term of nonlinear partial differential equation was neglected according to the assumption of slightly compressible fluid, which could lead to error when the well test time was too long. As time went by, the fluid flowing boundary of low permeability reservoirs extended outwards continuously. In order to study the flowing law of low permeability reservoirs with deformed media, the flow model of low permeability reservoirs of deformed media was built, which considered the influence of starting pressure gradient, moving boundary and quadratic gradient term. The numerical solution of the flow model was obtained by the fully implicit finite difference method. The pressure dynamic curves were drawn to analyse the seepage law of different starting pressure gradient, deformed media and moving boundary. The influence of the quadratic gradient term on the pressure dynamic curves was analyzed. The results could help people understand the seepage mechanism of low permeability reservoirs and provide the theoretical basis for exploring the low permeability reservoirs. Key words: The quadratic gradient term, moving boundary, starting pressure gradient, deformed media, low permeability reservoirs.
Highlights
Along with the continuous development and utilization of petroleum resources, it was imperative to exploit the low permeability reservoirs on a large scale
The simulation result was obtained by the flow model of low permeability reservoirs
The pressure dynamic curves of low permeability reservoirs were drawn to analyze the seepage law of different starting pressure gradient, deformed media and moving boundary
Summary
Along with the continuous development and utilization of petroleum resources, it was imperative to exploit the low permeability reservoirs on a large scale. According to the assumption of slightly compressible fluid, the quadratic gradient term in nonlinear partial differential equation of. Starting with the characteristics of low permeability reserves, this thesis gave analyses to the influence of starting pressure gradient and the deformation of the media on flow. Based on that, starting from the principle of mass conservation, the nonlinear partial differential equation of low permeability reserves was deduced considering the influence of the quadratic gradient term. Based on the proposed model, the pressure dynamic analysis of low permeability reservoirs along with propagation law of moving boundary was studied. The fluid of low permeability reservoirs will have to surmount the starting pressure gradient to flow. The fluid flowing boundary extending outwards continuously with time are the remarkable feature of low permeability reservoirs. We can use this formula to determine the moment moving boundary location
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