Methods of composite mechanics were used to evaluate the effective elastic moduli and Biot’s parameter of porous media. Natural composites — dolomites and hyaloclastites — were considered as examples, which were also examined experimentally. The microscopic structure of the rocks was studied under a microscope, and their mineral composition was determined by the X-ray diffractometry. A comparison of experimental and calculated elastic moduli of dolomites showed their good agreement, which proved that the averaging method can be used to rapidly evaluate their effective elastic properties. For dolomites, Young’s modulus and Biot’s parameter were determined as functions of porosity using the calculation results and experimental data. The computation method described in this paper allows one to calculate Biot’s tensor in the general case of an anisotropic and inhomogeneous matrix and to evaluate the influence of pore shape on stresses and strains at the microlevel, which is not possible by experimental methods. Using samples of hyaloclastites with round and angular pores, the effect of pore shape on the elastic moduli and the effective stress coefficient was investigated. The effect of pore orientation was also studied using anisotropic dolomite samples with elongated pores.

中文翻译：

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计算多孔土工复合材料的弹性模量和Biot参数的有效张量分量

采用复合力学方法评价多孔介质的有效弹性模量和Biot参数。天然复合材料——白云石和玻璃碎屑石——被视为例子，也进行了实验检查。在显微镜下研究了岩石的微观结构，并通过 X 射线衍射法确定了它们的矿物成分。白云岩的实验弹性模量与计算弹性模量的比较表明它们具有良好的一致性，这证明平均法可用于快速评估其有效弹性特性。对于白云岩，使用计算结果和实验数据确定杨氏模量和 Biot 参数作为孔隙度的函数。本文描述的计算方法允许人们在各向异性和非均匀基质的一般情况下计算 Biot 张量，并在微观层面评估孔隙形状对应力和应变的影响，这是实验方法无法实现的。使用具有圆孔和角孔的透明碎屑岩样品，研究了孔形状对弹性模量和有效应力系数的影响。还使用具有细长孔隙的各向异性白云岩样品研究了孔隙取向的影响。研究了孔隙形状对弹性模量和有效应力系数的影响。还使用具有细长孔隙的各向异性白云岩样品研究了孔隙取向的影响。研究了孔隙形状对弹性模量和有效应力系数的影响。还使用具有细长孔隙的各向异性白云岩样品研究了孔隙取向的影响。