Idealised Discrete Pore-Scale Model of Poro-Elasticity via Closed-Form Analytical Expressions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper describes a simple (idealized) lattice-type model of porous materials, and uses that model to derive analytical expressions that determine interactions between the pore fluid and the material framework. The examples included here address the change in horizontal stress associated with fluid depletion, and also the way that fracture apertures are changed due to alterations of fluid pressure. The predictions agree in magnitude with observations and large-scale inferences. Analysis of the model’s behavior leads to questions concerning the validity, or not, of the scale-independence of stress, along with posing questions about the use of continuum ideas for porous materials. The notion of effective stress is considered within the framework of the model, which reveals that the so-called poro-elastic coefficient is not a material property.
Original languageEnglish
Title of host publicationProceedings of the 6th Biot Conference on Poromechanics
PublisherAmerican Society of Civil Engineers (ASCE)
Number of pages8
StatePublished - Jul 2017
Event6th Biot Conference on Poromechanics - Paris, France

Conference

Conference6th Biot Conference on Poromechanics
CountryFrance
CityParis
Period9/07/1713/07/17

Fingerprint

Elasticity
Fluids
porous materials
porosity
fluids
Porous materials
fluid
fluid pressure
scale models
inference
depletion
elastic properties
apertures
continuums
coefficients
predictions
interactions
Materials properties
fracture aperture
effective stress

Cite this

Couples, G. D. (2017). Idealised Discrete Pore-Scale Model of Poro-Elasticity via Closed-Form Analytical Expressions. In Proceedings of the 6th Biot Conference on Poromechanics American Society of Civil Engineers (ASCE).

Couples, Gary Douglas / Idealised Discrete Pore-Scale Model of Poro-Elasticity via Closed-Form Analytical Expressions.

Proceedings of the 6th Biot Conference on Poromechanics. American Society of Civil Engineers (ASCE), 2017.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Couples, GD 2017, Idealised Discrete Pore-Scale Model of Poro-Elasticity via Closed-Form Analytical Expressions. in Proceedings of the 6th Biot Conference on Poromechanics. American Society of Civil Engineers (ASCE), 6th Biot Conference on Poromechanics, Paris, France, 9-13 July.

Idealised Discrete Pore-Scale Model of Poro-Elasticity via Closed-Form Analytical Expressions. / Couples, Gary Douglas.

Proceedings of the 6th Biot Conference on Poromechanics. American Society of Civil Engineers (ASCE), 2017.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - This paper describes a simple (idealized) lattice-type model of porous materials, and uses that model to derive analytical expressions that determine interactions between the pore fluid and the material framework. The examples included here address the change in horizontal stress associated with fluid depletion, and also the way that fracture apertures are changed due to alterations of fluid pressure. The predictions agree in magnitude with observations and large-scale inferences. Analysis of the model’s behavior leads to questions concerning the validity, or not, of the scale-independence of stress, along with posing questions about the use of continuum ideas for porous materials. The notion of effective stress is considered within the framework of the model, which reveals that the so-called poro-elastic coefficient is not a material property.

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Couples GD. Idealised Discrete Pore-Scale Model of Poro-Elasticity via Closed-Form Analytical Expressions. In Proceedings of the 6th Biot Conference on Poromechanics. American Society of Civil Engineers (ASCE). 2017.