Simulation of Steady-State Flow in Three-Dimensional Fracture Networks Using the Boundary Element Method

  • Allen M. Shapiro
  • Johan Andersson
Conference paper


The modelling of transport phenomena in fractured rock has been a topic of increasing interest over the past several years. In studies which have been undertaken to date, the means by which transport phenomena are mathematically conceptualized have taken two distinct routes. The necessity for alternative idealizations of fractured rock has arisen from the fact that the length scale of a given problem in relation to the density of fracturing is not consistent from one rock formation to another. This has led to conceptualizations of fractured rock as either a system of individual and possibly interconnected fractures in a permeable or impermeable host rock, or as one or more overlapping continua, in a similar manner to the mathematical treatment of granular porous media.


Boundary Element Boundary Element Method Hydraulic Head Fracture Rock Fracture Network 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Brebbia, C. (1978) The Boundary Element Method for Engineers, Pentech, London, 1978.Google Scholar
  2. Shapiro, A. and J. Andersson (1983) Steady-state fluid response in fractured rock - A boundary element solution for a coupled, discrete fracture-continuum model, Water Resour. Res., 19, 959–969.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Allen M. Shapiro
    • 1
  • Johan Andersson
    • 2
  1. 1.Faculty of Civil EngineeringTechnion — Israel Institute of TechnologyTechnion City, HaifaIsrael
  2. 2.Department of Water Resources EngineeringRoyal Institute of TechnologyStockholmSweden

Personalised recommendations