InterPore Academy Short Course
Lecturer: Prof. Dr.-Ing. Holger Steeb, Institute of Applied Mechanics, University of Stuttgart
Title: Linear Poro-Elasticity – From Quasi-Static Consolidation to Acoustic Waves
Date: Postponed until January 2022. The exact dates will be published soon.
Time: From 4:00 pm to 6:00 pm (CET)
Course registration for the short course: The registration is now open
Registration fee:
InterPore Student Member: 75€ InterPore Student Non – Member: 100€
InterPore Academic Member: 120€ InterPore Academic Non – Member: 165€
InterPore Industry Member: 170€ InterPore Industry Non – Member: 250€
About the Lecturer:
Prof. Dr.-Ing. Holger Steeb
Holger got his Dr.-ing. in 2002 from University of Stuttgart, Germany, where he worked for one additional years as a postdoc in the CRC 404 at the Institute of Mechanics. In 2002 he joined Saarland University, Germany, where he worked as a researcher and lecturer. In 2008 he obtained his habilitation im “Mechanics” (venia legendi) from Saarland University. In 2008, he joined the University of Twente, Enschede, The Netherlands as an Assistant Professor for Multi Scale Mechanics. In 2009, he moved to the Ruhr-University Bochum, Germany, working as a full Professor of Continuum Mechanics. Since 2016, Holger is Professor for Continuum Mechanics at the University of Stuttgart, Germany in the faculty of Civil and Environmental Engineering and fellow of the Stuttgart Centre for Simulation Sciences (SimTech). Holgers’ research interests are about continuum mechanics, multi-scale mechanics and coupled problems in porous media, which he studies theoretically numerically and experimentally. Holger is editor of the Springer book series Advances in Geophysical and Environmental Mechanics and Mathematics – AGEM2 and member of the editorial board of the journals “Applied and Computational Mechanics” and “Surveys for Applied Mathematics and Mechanics”.
Course Abstract:
In the short course, we review classical linear poro-elasticity. In his today accepted form, linear poro-elasticity was developed by Maurice A. Biot for quasi-static (consolidation-like) behaviour in 1941 and extended towards acoustic waves in 1956.
We discuss the derivation of the kinematical assumptions, constitutive relations, and the resulting field equations of Biot’s formulation in detail. Within the short course, we follow concepts of continuum mixture theory.
It will be pointed out that for an isotropic homogeneous porous material, Biot’s poro-elastic constitutive equations include three elastic bulk moduli and one shear modulus. The elastic constitutive equations are complemented by Darcy’s law resulting from a linear assumption for the (viscous) momentum exchange. It is shown how the resulting boundary value problem could be numerically solved, e.g. by means of Finite Element Methods for various application problems in geomechanics and geophysics.
Further, the quasi-static poro-elastic equations are subsequently extended towards Biot’s set of equations describing acoustic waves in porous media. We derive the dispersion relations for propagating bulk waves and especially highlight the (famous) 2nd compressional wave, also denoted as Biot’s wave, in the low- and the high-frequency regime.
Further, we discuss how effective material properties of heterogeneous porous materials distinguish from properties of homogeneous media and present various typical examples of heterogeneities in geomechanical and geophysical applications.
Course registration fee for participating:
InterPore Student Member: 75€ InterPore Student Non – Member: 100€
InterPore Academic Member: 120€ InterPore Academic Non – Member: 165€
InterPore Industry Member: 170€ InterPore Industry Non – Member: 250€