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PINNs for solving multiphase poroelasticity relations

Link to the paper - PINN-Poroelasticity

If you are interested in physics informed neural networks (PINNs) and coupled single and multiphase flow in porous media, please check out our work below: 

- We find it challenging to solve coupled poroelasticity relations using PINNs (data-free).

Living cells behave as fluid-filled sponges

Animal cells behave like fluid-filled sponges in response to being mechanically deformed according to new research published in Nature Materials.

Scientists from the London Centre for Nanotechnology at UCL have shown that animal cells behave according to the theory of ‘poroelasticity’ when mechanically stimulated in a way similar to that experienced in organs within the body. The results indicate that the rate of cell deformation in response to mechanical stress is limited by how quickly water can redistribute within the cell interior.

PhD Studentship: Numerical modelling of fault formation, Imperial College, London, UK

PhD Studentship: Numerical modelling of fault formation



***UK/EU Student Funding*** - ***Any International Student will require additional tuition payment***

azadpoor's picture

Call for special issue papers: Mechanics of cells, tissues, and biomaterials

The paramount role of mechanics in life has recently been the center of attention of many researchers. This special issue will be focusing on the role of mechanics in the life of cells and tissues and their interactions with biomaterials. Original research and review papers are solicited for review and publication in the journal Mechanical Sciences . Mechanical Sciences is an academic open-access journal sponsored by the Library of Delft University of Technology and The Netherlands Organization for Scientific Research (NWO).

Poroelastic problems


Hi everybody. My name is Alexander Lyapin. I am a second year postgraduate student of Southern Federal University, Russia, Rostov-on-Don, and I am working in the field of poroelasticity. The topic of my future dissertation is "Dynamic problems of poroelastic enviroments". The main problems in my dissertation are fundamental solutions and enviroments with cavities of common arbitary shape. I use different methods such as boundary integral equations method Fourie transformation method and some other.

Yuhang Hu's picture

Poroelastic relaxation indentation of thin layers of gels

We develop a method of poroelastic relaxation indentation (PRI) to characterize thin layers of gels.  The solution to the time-dependent boundary-value problem is obtained in a remarkably simple form, so that the force-relaxation curve obtained by indenting a gel readily determines all the poroelastic constants of the gel—the shear modulus, Poisson’s ratio, and the effective diffusivity.  The method is demonstrated with a layer of polydimethylsiloxane immersed in heptane.

Cai Shengqiang's picture

Poroelasticity of a covalently crosslinked alginate hydrogel under compression

This paper studies the poroelastic behavior of an alginate hydrogel by a combination of theory and experiment. The gel—covalently crosslinked, submerged in water and fully swollen—is suddenly compressed between two parallel plates. The gap between the plates is held constant subsequently, and the force on the plate relaxes while water in the gel migrates. This experiment is analyzed by using the theory of linear poroelasticity.

Yuhang Hu's picture

Indentation of polydimethylsiloxane submerged in organic solvents

This paper uses a method based on indentation to characterize a polydimethylsiloxane (PDMS) elastomer submerged in an organic solvent (decane, heptane, pentane, or cyclohexane).  An indenter is pressed into a disk of a swollen elastomer to a fixed depth, and the force on the indenter is recorded as a function of time.  By examining how the relaxation time scales with the radius of contact, one can differentiate the poroelastic behavior from the viscoelastic behavior.  By matching the relaxation curve measured experimentally to that derived from the theory of poroelasticity, one can identify

Yuhang Hu's picture

Using indentation to characterize the poroelasticity of gels

When an indenter is pressed into a gel to a fixed depth, the solvent in the gel migrates, and the force on the indenter relaxes. Within the theory of poroelasticity, the force relaxation curves for indenters of several types are obtained in a simple form, enabling indentation to be used with ease as a method for determining the elastic constants and permeability of the gel. The method is demonstrated with a conical indenter on an alginate hydrogel.


Does anyone have experience using poroelasticity model? I dont underestand the abaqus model -the logarithmic bulk modulus and.., where are these coming from?Is anyone knows a reference book to link those?

Donald X. Chen's picture


Choose a channel featured in the header of iMechanica: 

Research activities on soil models, porous media, poroelasticity.

MichelleLOyen's picture

Biot Medal to Dr. James R. Rice

Biot Medal The 2007 Maurice A. Biot Medal for Poromechanics has been awarded during the ASCE Engineering Mechanics Conference held at Virginia Tech last Tuesday.

The 2007 Biot Medal winner is Dr. James R. Rice of Harvard University.

If you are interested in further information, such as citation of Dr. Rice's work, and photos, you can check this page:

MichelleLOyen's picture

North American Workshop on Applications of the Physics of Porous Media

The 7th North American Workshop on Applications of the Physics of Porous Media will be held in Puerto Vallarta, Mexico, November 2-6, 2007. This will be the 7th biennial meeting of researchers around the world who are interested in the phenomena associated with physics of fluid flow and deformation in porous media and its applications to a broad range of basic roblems encountered in geophysics, geomechanics, medical physics, and condensed matter physics.

Full details are available at the website:

MichelleLOyen's picture

Poroelasticity references

Given the growing interest in poroelasticity within this forum, I thought I would post the link to "Poronet" -- the poromechanics internet resources network.  In particular, there is a nice long pdf chapter on the fundamentals of poroelasticity from Detournay and Cheng, 1993, which has become one of the standard references in the field. 

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