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基于真实微结构驱动的砂岩有效弹性模量数值模拟
Numerical Simulation of Effective Elastic Moduli for Sandstone Based on Real Microstructure-Driven Mechanisms

DOI: 10.12677/ag.2026.162014, PP. 137-148

Keywords: 砂岩,X射线断层扫描,半经验模型,有限元方法,有效弹性模量
Sandstone
, X-Ray Computed Tomography, Semi-Empirical Model, Finite Element Method, Effective Elastic Modulus

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Abstract:

砂岩主要由碎屑颗粒和胶结物构成,属于典型的非均匀介质。本文基于X射线断层扫描技术获取两种砂岩样品的真实微结构,在此基础上,结合孔隙率–弹性模量半经验模型和有限元方法对砂岩样品的有效弹性模量开展数值模拟,并与超声波法测试进行比对。结果表明,本文提出的基于真实微结构驱动的有效弹性模量数值模拟方法切实可行,且具有较高的精度。
Sandstone is primarily composed of detrital grains and cement, representing a typical heterogeneous medium. Based on X-ray computed tomography technology, this study obtained the real microstructures of two sandstone samples. Subsequently, numerical simulations of the effective elastic moduli of the sandstone samples were conducted by integrating a porosity-elastic modulus semi-empirical model with the finite element method. The results were compared with ultrasonic testing measurements. The findings demonstrate that the proposed numerical simulation method for effective elastic moduli, driven by real microstructures, is both feasible and highly accurate.

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