自然分形多孔储层复杂类型及其组构模式表征：理论与方法

doi:10.13722/j.cnki.jrme.2022.0526

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摘要自然储层孔隙结构由于成因多样，往往表现为一种多元几何在尺度不变属性控制下的多尺度组配系统，其定量表征是精准评估储层静态物性以及有效揭示输运属性细观控制机制的关键。最新研究表明，分形对象是由相互独立的原始复杂性和行为复杂性组配而成的双复杂系统，因此原始复杂性的等效表征以及行为复杂性的惟一定义是实现储层孔隙结构定量表征的关键。基于以上认知，系统研究储层复杂孔隙结构表征方法并总结各自的优势与局限性，界定分形孔隙结构中原始复杂性要素，发展孔–喉–固–网–连的算法并实现单尺度/多尺度、单相/多相、单元/多元等任意原始复杂类型的等效表征，利用分形拓扑理论确保了孔隙结构中自相同、自相似、自仿射等分形行为的唯一定义，依托复杂组构概念构建分形多孔介质复杂孔隙结构的统一表征模型，进而在充分验证了新模型有效性的基础上论述其对自然储层孔隙结构精细描述的适配性，形成了分形多孔介质定量表征的理论与方法体系。

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关键词 ：岩石力学, 自然储层, 孔隙结构, 分形拓扑, 复杂组构模式, 定量表征

Abstract：The pore structure of natural reservoirs perfroms a multi-scale assembly system of multi-geometry under the control of scale invariant for its various contributing factors. Its quantitative characterization is the key to accurately assessing reservoir static physical properties. And the meso-control mechanism of transport characters can be further effectively revealed. Recent research shows that fractal objects are dual-complexity systems，and they are composed of independent original complexity and behavioral complexity. Therefore，they are key to achieving quantitative characterization of pore structure，i.e. equivalent characterization of original complexity and unique definition of behavioral complexity. Thus，this paper systematically studied methods for characterizing complex pore structure and summarized their advantages and limitations. Following the definition of original complexity elements in fractal pore structures，we developed the pore-throat-solid-network-connectivity algorithm，and achieved equivalent characterization of any original complex types，i.e.，single/multi-scale，phase and type. With fractal topology theory，this research verified the unique definition of self-sameness，self-similarity and self-affinity in pore structures. Then，a unified characterization model of pore structure is constructed based on the concept of complexity assembly. The adaptability of the new model to the fine description of pore structures in natural reservoir is finally discussed beyond its fully verification. A theoretical and methodological system for quantitative characterization of fractal porous media.

Key words： rock mechnics natural reservoir pore structure fractal topography complexity assembly quantitative characterization

引用本文:

金毅1，2，3，刘丹丹1，郑军领1，董佳斌1，2，王俏俏1，黄欢1，赵静妍1，刘顺喜1，2，3，宋慧波1，2，3. 自然分形多孔储层复杂类型及其组构模式表征：理论与方法[J]. 岩石力学与工程学报, 2023, 42(4): 781-797.
JIN Yi1，2，3，LIU Dandan1，ZHENG Junling1，DONG Jiabin1，2，WANG Qiaoqiao1，HUANG Huan1，. Principle and approach for the characterization of complexity types and their assembly pattern in natural fractal porous reservoir. , 2023, 42(4): 781-797.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.0526 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I4/781

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