Research On Fractional Analysis And Flow Characteristics Of Herschel-Bulkley Fluid In Dual Porous Media

Natural gas,oil and so on are important strategic resources,so it is extremely important to develop and extract them,and the environment where these resources are located is generally double porous media.Dual porous media is a kind of nested material composed of porous media and tree-like bifurcation network,which widely exists in nature,such as oil and gas reservoirs,human organs,etc.The seepage characteristics of dual porous media have always been an important research direction,but there is a problem that the structure is complex and difficult to fully simulate.Herschel-Bulkley fluid is similar to fluids used in industrial production and life,such as oil and blood,and fractional order has its unique advantages in describing non-Newtonian fluids.Therefore,this paper aims to study the flow mechanism of Herschel-Bulkley fluid in uniform pipe and double porous medium under the action of fractional order theory,and analyze the influence of uniform pipe and double porous medium parameters on fluid flow characteristics.The results obtained can provide reference for resource exploitation,disease treatment and fluid transportation in engineering hydraulic pipelines.The main research content of the full text is as follows: Firstly,according to the time fractional differential theory and the constitutive equation of Herschel-Bulkley fluid,the creeping flow model of Herschel-Bulkley fluid in uniform and bifurcated pipelines is established,and then the porous medium is regarded as a collection of curved capillaries.And using the tree-like bifurcation network theory to establish the seepage model of Herschel-Bulkley fluid in dual porous media;for the solution of the creeping model of Herschel-Bulkley fluid,under the assumption of long wavelength and low Reynolds number,homotopy perturbation is used Method to solve,obtain flow characteristics such as flow rate and flow function and analyze its influencing factors.For the solution of the seepage model,under the assumption that the fluid in the porous medium and the bifurcation network do not interfere with each other,the flow rate of the Herschel-Bulkley fluid is obtained,Combine the two to obtain seepage characteristics such as pressure gradient and permeability,and perform simulation analysis on the seepage characteristics.The simulation results are compared with predecessors to verify the rationality of the model;a test bench is built.Select paraffin oil to simulate Herschel-Bulkley fluid,configure four paraffin oil solutions with different concentrations,and conduct flow experiments in the six-stage bifurcated pipeline built to obtain flow and pressure data,perform simulation analysis and compare with theoretical calculations.The results show that the two are in good agreement,and the previous solution is verified.