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| Characterization of the complexity assembly of fractal bed-packing porous media#br# |
| JIN Yi1,2,WANG Qiaoqiao1,DONG Jiabin1,LIU Shunxi1,ZHENG Junling1,LI Yanxiang3 |
(1. School of Resources and Environment,Henan Polytechnic University,Jiaozuo,Henan 454003,China;2. The Collaborative Innovation Center of Coalbed Methane(Shale Gas) of Central Plains Economic Region,Jiaozuo,Henan 454003,China;
3. CSSC(Zhejiang) Ocean Technology Co.,Ltd.,Hangzhou,Zhejiang 311200,China)
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Abstract Bed-packing porous media widely exists in natural geological reservoirs,and always features complex geometrical morphology,random spatial distribution and fractal structure,etc. Pore space derived from such a complex assembly would significantly affect the storage and transport of oil and gas resources. Therefore,clarifying the meso-control mechanism of the complex pore structure on microscale is the basis of efficient exploitation and utilization of these resources. Apparently,quantitative characterization of the microstructure of the pore space is fundamental. In this work,two types of complexity in fractal bed-packing porous media were identified as per the newly emerged fractal topology theory,namely,the original complexity describing the particle geometry and the behavioral complexity dominating the invariant scale property. According to the basic requirements of scale invariance,the relationship between these two types of complexity were clarified to be independent of each other and the complex assembly patterns were confirmed. Based on these patterns,the quartet structure generation set(QSGS) algorithm was employed to characterize the original complexity,while the fractal topography theory was used to define self-similar and self-affine properties of the pore structure. A mathematical framework was then constructed to quantitatively characterize arbitrary fractal bed-packing porous media. Afterwards,the effects of the original and behavioral complexities on the pore structure were analyzed. The results indicate that the fragmentation degree of particle clusters,random distribution characteristics and boundary roughness of particle are determined by the original complexity,and the scale-invariant characteristics of self-similarity and self-affinity are controlled by the behavioral complexity. The anisotropy of pore structure is the coupling result of the original complexity and the behavior complexity.
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