scholarly journals Effective stress in double porous media with two immiscible fluids

2005 ◽  
Vol 32 (15) ◽  
Author(s):  
N. Khalili
Keyword(s):  
Porous Media ◽  
Effective Stress ◽  
Immiscible Fluids ◽  
Double Porous Media

scholarly journals Theory of Effective Stress in Soil and Rock and Implications for Fracturing Processes: A Review

Geosciences ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 119
Author(s):  
Vincenzo Guerriero ◽  
Stefano Mazzoli
Keyword(s):  
Porous Media ◽  
Effective Stress ◽  
Biological Tissues ◽  
Theory Of Elasticity ◽  
Past Century ◽  
Metal Powders ◽  
Science Community ◽  
Experimental Approaches ◽  
Historical Remarks ◽  
Open Issues

The effective stress principle (ESP) plays a basic role in geology and engineering problems as it is involved in fundamental issues concerning strain and failure of rock and soil, as well as of other porous materials such as concrete, metal powders, biological tissues, etc. Although since its introduction in the 1920s the main ESP aspects have been unravelled and theoretically derived, these do not appear to have been always entirely perceived by many in the science community dealing with ESP-related topics but having little familiarity with the complex theories of porous media and poroelasticity. The purpose of this review is to provide a guidance for the reader who needs an updated overview of the different theoretical and experimental approaches to the ESP and related topics over the past century, with particular reference to geological fracturing processes. We begin by illustrating, after some introductive historical remarks, the basic theory underlying the ESP, based on theory of elasticity methods. Then the different ESP-related theories and experimental results, as well as main interpretations of rock jointing and fracturing phenomena, are discussed. Two main classical works are then revisited, and a rigorous ESP proof is derived. Such a proof is aimed at geologists, engineers and geophysicists to become more familiar with theories of porous media and poroelasticity, being based on the classical theory of elasticity. The final part of this review illustrates some still open issues about faulting and hydraulic fracturing in rocks.

Resonance-like dynamics in radial cyclic injection flows of immiscible fluids in homogeneous porous media

2017 ◽  
Vol 819 ◽  
pp. 713-729 ◽  
Author(s):  
T. F. Lins ◽  
J. Azaiez
Keyword(s):  
Porous Media ◽  
Flow Instability ◽  
Physical Phenomenon ◽  
Resonance Effect ◽  
Level Set Methods ◽  
Immiscible Fluids ◽  
Interfacial Instabilities ◽  
Viscous Forces ◽  
Homogeneous Porous Media ◽  
Abrupt Changes

Interfacial instabilities of immiscible radial displacements in homogeneous porous media are analysed in the case of sinusoidal injection flows. The analysis is carried out through numerical simulations based on the immersed interface and level set methods. Investigations of the effects of the period of the sinusoidal injection flows revealed a novel resonance effect where, for a critical period, the number of fingers as well as their structures are considerably changed. The resonance in the flow development is clearly identified through the abrupt changes in the Fourier spectrum of the interface as well as quantitative characteristics of the flow in the form of the minimum and maximum radii of the interface. For the range of parameters examined in this study that correspond to instabilities dominated by viscous forces, the resonance period was found to correlate with a characteristic time of the flow and the fluids mobility ratio. This new physical phenomenon offers new perspectives for using the flow instability to determine important physical properties such as the viscosity and the surface tension of fluids.

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