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How to derive from poroelastic 3D equations to 1D Terzaghi equation?

Submitted by Xiaogai Li on
Hi!

In the terzaghi equation, there is a constant M (some books call is elastic oedemetric coefficient).

Since the terzaghi equation is a special case for the general 3D biot equations under oedemetric test
boundary conditions, does any book or material explain the derivation?

If I want to mode the terzaghi problem using 3D model in FE program, the M is known, then how to get the
corresponding values of young's modulus and poisson's ratio in order to give the same response from the 3D model?

Thanks for your attention. Any suggestions would be appreciated.

r.k

In reply to by S.H. Zhu

Dear S.H. Zhu

Hope all is well with you.

 You know, these days i'm working on fully coupled hydraulic fracturing propagation in poroelastic media but my poroelastic matlab code doesn't work proparely.

I've got to finish my Msc thesis as soon as possible.

would you please do me a favor and send me any 2D poroelastic media Matlab code you may have.

Best.

Sat, 03/05/2011 - 11:57 Permalink

Hi Mr Li.

    I think you can find answer from the paper

J. R. Rice and M. P. Cleary, "Some Basic Stress-Diffusion Solutions for Fluid-Saturated Elastic Porous Media with Compressible Constituents", Reviews of Geophysics and Space Physics, 14, 1976, pp. 227-241.

and also the lecture note,

J.R. rice, asticity of Fluid-Infiltrated Porous Solids

They are both available from Professor James R Rice's webpage,

http://esag.harvard.edu/rice/RicePubs.html

Hope it helps.  

 

 

 

Sun, 03/06/2011 - 22:36 Permalink