![]() ![]() Bakke and Øren performed a systematical and profound study on the process-based method, which not only considered the distribution of grain size, but also simulated the quartz cement growth and the clay coating of the free surface. Bryant and Blunt proposed this method of simulating the rock formation process to reconstruct a digital core. The process-based method is an effective tool for reconstructing digital rock models with different pore structures. Each modeling method has specific advantages, and digital rock provides a prerequisite for the in-depth and convenient study of the pore structure and physical properties of rock. The specific methods include simulated annealing method, sequential indicator simulation method, multiple point geostatistics method, Markov chain method, process-based method, and hybrid modeling. The input of modeling is based on the low-order statistical information of rock, such as porosity, particle size distribution, and two-point correlation function. On the other hand, numerical reconstruction is described as the use of computer and mathematical algorithms to simulate and establish a reconstruction model that is consistent with the characteristics of rock properties. The specific methods include X-ray computed microtomography, focused ion beam, and the combination of a series of thin sections. The physical experiment is described as the use of high-precision scanning equipment to directly image rock samples to establish digital images. Generally, there are mainly two categories for constructing a digital core: physical experiment and numerical reconstruction. In the past few decades, digital rock modeling technology has been studied extensively. The digital 3D core, which characterizes the microstructure of rock at the pore scale, has become the basis of quantitative analysis for pore structures and physical properties. Understanding the evolution law between the fractal dimension and pore structure parameters provides more references for classifying and evaluating rock pore structure features using fractal dimensions. ![]() The comparison of fractal dimensions of compaction and cementation models proves that fractal dimensions can distinguish the subtle pore structure differences in digital 3D rock models. The quantitative relations between box-counting fractal dimension and porosity were established, which can be expressed by combining linear and logarithmic formulas. ![]() The pore structure differences in sedimentation model can only be distinguished by the surface fractal dimension, while both pore and surface fractal dimensions are available parameters for characterizing different pore structures in compaction and cementation models. ![]() These works reveal the changing laws of three types of fractal dimensions for different pore structure models. Finally, the relationships among the fractal dimension, porosity, and complexity were explored qualitatively. Then, the fractal dimensions of the skeleton, pore, and surface of the models were computed and analyzed. First, three kinds of models with gradually changing pore structures, namely sedimentation, compaction, and cementation, were systematically reconstructed by the process-based approach. In this study, the evolution law of the fractal dimension and the quantitative relationship between the fractal dimension and porosity were investigated based on the digital 3D rock models. Fractal geometry is an effective means of quantitatively estimating the pore structure properties of porous media. The macroscopic physical properties of rocks are profoundly determined by their microstructure, and the research of accurately characterizing rock pore structure has been extensively carried out in the fields of petroleum engineering and geoscience. ![]()
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