General Theory of Three-Dimensional Consolidation

Biot, Maurice A.

doi:10.1063/1.1712886

Cited by 8,092 publications

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“…Adsorption-induced deformation (swelling or shrinkage) of porous materials can be described in the frame of classical poromechanics. This theory describes the volumetric strain ϵ and shear strain e ij induced by the adsorption of fluid molecules at a pressure P. 14,25 For an elastic solid having an intrinsic porosity Φ 0 and submitted to small strains, the constitutive equations read …”

Section: Methodsmentioning

confidence: 99%

Poroelastic Theory Applied to the Adsorption-Induced Deformation of Vitreous Silica

et al. 2014

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When vitreous silica is submitted to high pressures under a helium atmosphere, the change in volume observed is much smaller than expected from its elastic properties. It results from helium penetration into the interstitial free volume of the glass network. We present here the results of concurrent spectroscopic experiments using either helium or neon and molecular simulations relating the amount of gas adsorbed to the strain of the network. We show that a generalized poromechanical approach, describing the elastic properties of microporous materials upon adsorption, can be applied successfully to silica glass in which the free volume exists only at the subnanometer scale. In that picture, the adsorptioninduced deformation accounts for the small apparent compressibility of silica observed in experiments.

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Section: Methodsmentioning

confidence: 99%

Poroelastic Theory Applied to the Adsorption-Induced Deformation of Vitreous Silica

et al. 2014

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“…But in our case, where we aim not only for deformation of the surface of the transport liquid but for it to continuously flow through the reversibly reconfigurable fluid-lined pore, the working pressure will also depend on the flow rate Q and viscosity  of the transport fluid, as P~Q/k 29 . Here k is the permeability of the membrane, which is related to the pore structure and size and also depends on the transmembrane pressure or flow rate 29,30 :where  is the porosity,  the tortuosity, d the mean pore size, and  the standard deviation of a porous membrane with distributed pore sizes (see Supplementary Information for detailed discussion). This relationship accurately predicts the gating pressure for water at a series of flow rates, both with and without the pore-filling liquid (Fig.2d, blue and red), and allows us to quantitatively determine how the performance of the system depends on the pore size, geometry, and gating liquid properties (Fig.S3, Tables S2-S3).…”

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Liquid-based gating mechanism with tunable multiphase selectivity and antifouling behaviour

Hou

Grinthal

et al. 2015

Nature

420

395

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Living organisms make extensive use of micro-and nanometer-sized pores as gatekeepers for controlling the movement of fluids, vapors and solids between complex environments. The ability of such pores to coordinate multiphase transport, in a highly selective and subtly triggered fashion and without clogging, has inspired interest in synthetic gated pores for applications ranging from fluid processing to 3D printing and labon-chip systems 1,2,3,4,5,6,7,8,9,10 . But although specific gating and transport behaviors have been realized by precisely tailoring pore surface chemistries and pore geometries 6,11-17 , a single system capable of selectively handling and controlling complex multiphase transport has remained a distant prospect, and fouling is nearly inevitable 11,12 . Here, we introduce a gating mechanism that uses a capillary-stabilized fluid to seal pores in the closed state, and reversibly and rapidly reconfigures it under pressure to create a non-fouling, fluid-lined pore in the open state. Theoretical modeling and experiments demonstrate that for each transport substance, the gating threshold -the pressure needed to open pores -can be rationally tuned over a wide pressure range. This allows us to realize in one system differential response profiles for a variety of liquids and gases, even letting liquids flow through the pore while preventing gas escape. These capabilities allow us to dynamically modulate gas/liquid sorting in a microfluidic flow and to separate a three-phase air/water/oil mixture, with the fluid lining ensuring sustained antifouling behavior. Because the liquid gating strategy enables efficient long-term operation and can be applied to a variety of pore structures, membrane materials and micro-as well as macro-scale fluid systems, we expect it to prove useful in a wide range of applications.Our hypothesis that a liquid-filled pore could provide a unified gating strategy derives from the idea that a liquid stabilized inside a micropore offers a unique combination of dynamic and interfacial behaviors, and is inspired by nature's use of fluids as reconfigurable gates. Microscale stomata and xylem control air, water, and microbe exchange in plants by using fluid to mechanically reconfigure the pore 18 . The nuclear pore is directly lined with disordered fluidlike proteins that have been proposed not only to regulate differential transport of a wide range of cargos, but also to completely prevent fouling 19 . Most interestingly, micropores between air sacs in the lung are filled with liquid that has been proposed to reversibly reconfigure into an open, fluid-lined pore in response to pressure gradients 20 . Figure 1 contrasts the gating mechanisms in a traditional and in a liquid-filled pore. In the case of traditional nano/micropores (Fig.1a), gases will flow through passively regardless of 2 pore shape and surface chemistry, while liquids will enter the pore once the applied pressure reaches a critical value dictated by the balance of surface interactions, pore geometry and surface tension....

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“…Secondly, the gas extraction is usually accompanied by a small amount of water and sand, causing a certain contribution to the differences. Thirdly, as described by the poro-elastic theory [84], a decrease of underground gas pressure may counteract a certain subsurface volume change. Finally, the natural compaction of the gas reservoir is not considered in the study.…”

Section: Discussionmentioning

confidence: 99%

Deriving 3-D Time-Series Ground Deformations Induced by Underground Fluid Flows with InSAR: Case Study of Sebei Gas Fields, China

Liu

Sun

et al. 2017

Remote Sensing

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Multi-temporal Interferometric Synthetic Aperture Radar (MT-InSAR) technique has proven to be a powerful tool for the monitoring of time-series ground deformations along the line-of-sight (LOS) direction. However, the one-dimensional (1-D) measurements cannot provide comprehensive information for interpreting the related geo-hazards. Recently, a novel method has been proposed to map the three-dimensional (3-D) deformation associated with underground fluid flows based on single-track InSAR LOS measurements and the deformation modeling associated with the Green's function. In this study, the method is extended in temporal domain by exploiting the MT-InSAR measurements, and applied for the first time to investigate the 3-D time series deformation over Sebei gas field in Qinghai, Northwest China with 37 Sentinel-1 images acquired during October 2014-July 2017. The estimated 3-D time series deformations provide a more complete view of ongoing deformation processes as compared to the 1-D time series deformations or the 3-D deformation velocities, which is of great importance for assessing the possible geohazards. In addition, the extended method allows for the retrieval of time series of fluid volume changes due to the gas extraction in the Sebei field, which agrees well with those from the PetroChina Qinghai Oilfield Company Yearbooks (PQOCYs). This provides a new way to study the variations of subsurface fluids at unprecedented resolution.

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General Theory of Three-Dimensional Consolidation

Cited by 8,092 publications

References 0 publications

Poroelastic Theory Applied to the Adsorption-Induced Deformation of Vitreous Silica

Poroelastic Theory Applied to the Adsorption-Induced Deformation of Vitreous Silica

Liquid-based gating mechanism with tunable multiphase selectivity and antifouling behaviour

Deriving 3-D Time-Series Ground Deformations Induced by Underground Fluid Flows with InSAR: Case Study of Sebei Gas Fields, China

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