Particle swarm optimization algorithm for solving fractal dimension of tight sandstone reservoir's pore structure:a case study of the Shanxi Formation in Daning-Jixian area,Ordos Basin
In the cause of solving the problem which is knotty to obtain the fractal-dimension parameter of wells with only basic test data such as porosity and permeability,an approach based on a particle swarm op-timization algorithm(PSO)is planned to resolve the fractal dimension of tight sandstone reservoir's pore structure.Firstly,for wells with nuclear magnetic and high pressure mercury injection data,the fractal di-mension values were calculated by nuclear magnetic resonance method and mercury saturation method,and were set as training samples.Secondly,for wells with only porosity and permeability data,the objective rep-resentation was defined as the sum of the squares of the deviations of porosity and permeability data and training sample data based on the PSO idea,and the porosity and permeability data of 8 core samples were used to calculate the fractal dimension.Finally,the calculated results were compared with those of mercury saturation method and nuclear magnetic resonance method.The results show that the fractal dimension ob-tained by particle swarm optimization algorithm has a high precision,the calculation process has high auto-mation and low subjectivity,and it can be well applied in the calculation of fractal dimension parameters.
fractal dimensionparticle swarm optimization algorithmhigh-pressure mercury injectionnuclear magnetic resonancetight sandstone reservoirporosity and permeability data
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