Abstract
This work deals with modelling of groundwater flow in compact rock with network of discrete fractures. The test problem is given by stochastically generated network of lines (fractures) with large variations of the aperture, conductivity, and discretisation element size which leads to the differences of the coefficients in the linear equations system up to ten orders of magnitude. We compare our own simulation code using mixed finite elements with commercial code NAPSAC using standard finite elements. Both codes produce consistent results, with differences in percents but unevenly distributed. Results from mixed finite elements have four orders of magnitude smaller error of mass balance than those from standard finite elements.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Březina, J., Rálek, P., Hokr, M.: Parallel Simulator of Multidimensional Fracture Flow and Transport. In: NM&A (2010)
Hartley, L.J.: NAPSAC Release 4.1 Technical Summary Document, AEA-R&R-0271. AEA Technology (1998)
Havlíček, J., Hokr, M.: Change of the hydraulic parameters in the model of flow in discrete fracture network caused by the mechanical stress. In: Plešinger, M. (ed.) Simulation, Modelling, and Various Applications (SIMONA 2009), pp. 37–43. Technical University of Liberec (2009)
Jing, L., Hudson, J.A. (eds.): Task C: Integrated assessment of THMC coupled processes in single fractures and fractured rocks, DECOVALEX-2011 Project Progress Report, Stage1 (in preparation).
Maryška, J., Severýn, O., Tauchman, M., Tondr, D.: Modelling of Processes in Fractured Rock Using FEM/FVM on Multidimensional Domains. J. Comp. Appl. Math. 215(2), 495–502 (2008)
Min, K.B., Jing, L., Stephansson, O.: Determining the Equivalent Permeability Tensor for Fractured Rock Masses Using a Stochastic REV Approach: Method and Application to the Field Data from Sellafield, UK. Hydrogeol. J. 12(5), 497–510 (2004)
Polák, M., Milický, M., Gvoždík, L., Uhlík, J.: Flow simulation in 2D fracture network, Technical report, PROGEO Ltd. (2009) (in Czech)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hokr, M., Kopal, J., Březina, J., Rálek, P. (2011). Sensitivity of Results of the Water Flow Problem in a Discrete Fracture Network with Large Coefficient Differences. In: Dimov, I., Dimova, S., Kolkovska, N. (eds) Numerical Methods and Applications. NMA 2010. Lecture Notes in Computer Science, vol 6046. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18466-6_50
Download citation
DOI: https://doi.org/10.1007/978-3-642-18466-6_50
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-18465-9
Online ISBN: 978-3-642-18466-6
eBook Packages: Computer ScienceComputer Science (R0)