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Modeling Single-Phase Mass Transport

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Modeling Phenomena of Flow and Transport in Porous Media

Part of the book series: Theory and Applications of Transport in Porous Media ((TATP,volume 31))

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Abstract

This chapter is devoted to modeling mass transport of a single fluid phase, liquid or gas, that completely occupies the void space. The core of such model is the mass balance equation of the phase. This (macroscopic) equation is obtained from the general macroscopic balance equation when applied to mass, or phenomenologically. The specific storativity is introduced to account for fluid and solid matrix compressibility. Boundary and initial conditions are presented, leading to a well-posed flow (= mass transport) model. A separate model is developed for a constant density fluid and essentially horizontal flow, commonly used to describe flow in aquifers. The entire discussion in this chapter is under isothermal conditions (non-isothethermal conditions are presented I Chap. 8). Two additional subjects are discussed in this chapter. One is flow in a deformable porous medium, primarily as associated with storage of water in aquifers. The general subject of flow and other phenomena of transport in deformable porous media are discussed in detail in Chap. 9. The other subject is an introduction to flow in fractured porous medium domains. Throughout the chapter, we make use of the concepts of stress and shear which are second rank tensors, assuming that the reader is familiar with these concepts. Some introductory remarks about stress and strain are presented at the beginning of the chapter. The last section in this chapter is an introduction to flow in fractured rocks and in fractured porous rock domains.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Technion—Israel Institute of Technology, Haifa, Israel

    Jacob Bear

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Correspondence to Jacob Bear .

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Bear, J. (2018). Modeling Single-Phase Mass Transport. In: Modeling Phenomena of Flow and Transport in Porous Media. Theory and Applications of Transport in Porous Media, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-319-72826-1_5

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