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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >On porous soil materials saturated with a compressible pore-fluid mixture
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On porous soil materials saturated with a compressible pore-fluid mixture

机译：在被可压缩的孔隙流体混合物饱和的多孔土壤材料上

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摘要

Geomaterials can be understood as consisting of a porous solid skeleton, with the pores saturated by a fluid. The fluid may be water, air or, a water-air mixture. The mechanical behaviour of the whole soil body, consisting of the soil skeleton and the pore-fluid, is governed by the properties of its constituents. Since the exact structure of the pore-space is not known, a homogenization over a representative elementary volume is required in order to obtain a macroscopic approach. The description of the motion of a multiphase-mixture of immiscible constituents can be performed by the Theory of Porous Media (TPM). Based on the classical mixture theory, the TPM deals with superimposed continua. Additionally, the information of the structure is included via the concept of volume fractions [1-3]. Here, the soil skeleton material is assumed to be incompressible, whereas the pore-fluid mixture is compressible according to its composition of water and air by variable volume fractions. The pressure-density-function of the pore-fluid is derived within the framework of the TPM. Furthermore, the viscous pore-fluid allows for a linear momentum exchange (interaction force) between the constituents, which, under special assumptions, leads to the well-known Darcy law. [References: 6]
机译：土工材料可以理解为由多孔的固体骨架组成，孔隙被流体饱和。流体可以是水，空气或水-空气混合物。由土壤骨架和孔隙流体组成的整个土壤体的力学行为受其成分特性的支配。由于不知道孔空间的确切结构，因此需要在代表性的基本体积上进行均质化以获得宏观方法。可以通过多孔介质理论（TPM）对不混溶成分的多相混合物的运动进行描述。 TPM基于经典混合理论，处理叠加的连续性。另外，通过体积分数[1-3]的概念包括了结构信息。在此，土壤骨架材料被认为是不可压缩的，而孔隙流体混合物根据其水和空气的组成以可变的体积分数是可压缩的。孔隙流体的压力密度函数是在TPM框架内得出的。此外，粘性孔隙流体允许成分之间进行线性动量交换（相互作用力），这在特殊假设下会导致众所周知的达西定律。 [参考：6]

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