𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A finite element formulation for strong discontinuities in fluid-saturated porous media

✍ Scribed by P. Steinmann


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
349 KB
Volume
4
Category
Article
ISSN
1082-5010

No coin nor oath required. For personal study only.

✦ Synopsis


The aim of this contribution is the development of a finite element formulation tailored to capture strong discontinuities in fluid-saturated porous media. Thereby, strong discontinuities are considered as the final failure mechanism within localization problems. The failure kinematics are governed by the jumps in the solid displacement and the excess pore pressure gradient along the discontinuity. In the finite element discretization an interface element is endowed with these kinematics. As a consequence, the interface stiffness is dominated by the weighted localization tensor associated with the solid and the corresponding scalar valued contraction of the permeability tensor with the discontinuity normal. Finally, the proposed strategy is conceptionally highlighted by a qualitative computational example.


📜 SIMILAR VOLUMES


Enhanced finite element formulation for
✍ Areti Papastavrou; Paul Steinmann; Erwin Stein 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 301 KB 👁 1 views

This contribution is concerned with a new mixed ®nite element formulation for geometrically linear Terzaghi± Biot type ¯uid-saturated porous media. To this end, an extended Hu±Washizu type mixed variational principle is presented for ¯uid-saturated porous continua. Then, a suitable discretization an

Finite element modelling of reactive mas
✍ Zhao, Chongbin ;Hobbs, B. E. ;Mühlhaus, H. B. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB 👁 2 views

We use the ®nite element method to solve reactive mass transport problems in ¯uid-saturated porous media. In particular, we discuss the mathematical expression of the chemical reaction terms involved in the mass transport equations for an isothermal, non-equilibrium chemical reaction. It has turned

MIXED TRANSFORM FINITE ELEMENT METHOD FO
✍ R. G. BACA; J. N. CHUNG; D. J. MULLA 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB 👁 2 views

A new computational method is developed for numerical solution of the Richards equation for flow in variably saturated porous media. The new method, referred to as the mixed transform finite element method, employs the mixed formulation of the Richards equation but expressed in terms of a partitione

Multiphase flow in heterogeneous porous
✍ R. Huber; R. Helmig 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 325 KB 👁 1 views

Various discretization methods exist for the numerical simulation of multiphase flow in porous media. In this paper, two methods are introduced and analyzed -a full-upwind Galerkin method which belongs to the classical finite element methods, and a mixed-hybrid finite element method based on an impl