Abstract

This work reviews the transient two-phase flow in porous media with engineering applications in Geotechnics. It initially overviews constitutive relationships, conventional theories, and experiments. Then, corresponding limitations are discussed according to conflicting observations and multiphase interfacial dynamics. Based on those findings, the dynamic nonequilibrium effects were so defined, which could also be abbreviated as dynamic/transient effects. Four advanced theories have already been developed to resolve these effects. This review collects them and discusses their pros and cons. In addition, this work further reviews the state-of-art in terms of experimental methods, influential factors in dynamic/transient effects, and modelling performance, as well as micromodel and numerical methods at pore-scale. Last, the corresponding geotechnical applications are reviewed, discussing their applicability in effective stress, shear strength, and deformation. Finally, the entire review is briefed to identify research gaps in Geotechnics.

Highlights

  • Multiphase flow in porous media is a complex engineering problem

  • Theoretical, experimental, and numerical efforts on this application might deserve to be more investigated in the future. This comprehensive review is constructed for the transient two-phase flow in porous media and its engineering applications in Geotechnics

  • It commences from a literature review of conventional two-phase flow seepage in three sections: fundamental multiphase physics and soil water retention curve, steady-state and transient seepage theories with hydraulic properties, and experimental methods for relative hydraulic conductivity

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Summary

Introduction

Multiphase flow in porous media is a complex engineering problem. It covers various disciplines, including agriculture, hydrogeology, geotechnical engineering, petroleum engineering, biological engineering, and medical engineering. The theory of multiphase flow in porous media offers geotechnical engineers solutions to determine the hydro-mechanical behaviour of unsaturated soil under various environmental and hydraulic conditions [4] It can predict oil recovery efficiency during the gas/water injection process in deep reservoirs [3]. All reviews draw similar conclusions on the non-negligibility of dynamic nonequilibrium effects under transient flow conditions, the dependence of dynamic effects on fluid and porous media intrinsic properties, the importance of further experimental development, theoretical expansion, determination of constitutive parameters using inversion analysis, microscale physical and numerical modelling, etc. Based on the considerations mentioned above, this work aims to deliver a comprehensive and state-of-art review of transient two-phase flow in porous media under both instantaneous equilibrium and nonequilibrium conditions for any potential applications in Geotechnics. They did not recommend using the correction factor in the Fredlund and Xing [15] model because it lacks physical support for absolute zero water content at the suction of 106 kPa

Problems in Soil Water Retention Behaviour
Hydraulic Conductivity Function
Green-Ampt Model
Buckley and Leverett Model
Limitations of Conventional Theories and Experimental Methods
The Experimental Exploration of Dynamic Nonequilibrium Effects
The Theoretical Paradoxes of Transient Two-Phase Flow Seepage
The Physical Causes for Dynamic Nonequilibrium Effects
Advanced Theories of Transient Two-Phase Flow Seepage
The Theory of Dynamic Fluids Redistribution
The Theory of Dual-Fraction with Dynamic Fluids Redistribution
The Theory of Dual-Porosity and Dual-Permeability
The Theory of Dynamic Nonequilibrium Capillary Pressure
Novel Experimental and Numerical Contributions in Multiscale
The State-of-Art of the Continuum-Scale Experiments
The Influential Factors in Dynamic Nonequilibrium Effect
The Validations of Advanced Theories against Experiments
The State-of-Art of the Micromodels
The State-of-Art of the Pore-Scale Simulations
Engineering Applications in Unsaturated Soil Mechanics
Observation of Transient Effects in Natural Slopes
Transient Effects Coupled in Unsaturated Soil Effective Stress
Transient Effects Coupled in Unsaturated Soil Shear Strength
Transient Effects Coupled in Unsaturated Soil Deformation
Findings
Conclusions
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