zbMATH — the first resource for mathematics

Modelling of tunnel inflow with combination of discrete fractures and continuum. (English) Zbl 1388.76362
Summary: Fitting a water inflow into excavations can provide model parameters of the water flow and transport. The combination of 2D discrete fractures and 3D equivalent continuum is a suitable tool for an inhomogeneity modeling without an excessive computational effort. We demonstrate a tunnel inflow fitting with the combination of fractures and continuum on two examples of a field measurement. The problem dealt here is also an adjustment of 3D discretization onto a complex of subdomains cut by discrete fractures and a tunnel. We had to make a compromise between the geometrical accuracy and the mesh size but we kept the model problem relevant to real conditions and we concerned both the geometry and the calculated water inflow at the same time. We used the software Flow123D (which had been developed at our institute) which is based on the mixed-hybrid finite element method applied onto the multidimensional model the numerical scheme that is convenient for the velocity/flux field evaluation together with a mass balance and also a connection between discrete unknowns of 1D, 2D, and 3D subdomains.
76S05 Flows in porous media; filtration; seepage
76M27 Visualization algorithms applied to problems in fluid mechanics
Full Text: DOI
[1] Bear, J., Tsang, C.F., de Marsily, G.: Modelling Flow and Contaminant Transport in Fractured Rocks. USA Academic Press, San Diego (1993)
[2] Forsmark, T., Rhén, I.: Prototype Repository, Hydrogeology-Deposition- and lead-through boreholes: inflow measurements, hydraulic responses and hydraulic tests, International Progress Report, Swedish Nuclear Fuel and Waste Management Co, SKB IPR-00-33 · Zbl 1134.74033
[3] Gmsh: A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. http://geuz.org/gmsh/ Version 2.5.0, (15 Oct 2010)
[4] Grillo, A; Logashenko, D; Stichel, S; etal., Simulation of density-driven flow in fractured porous media, Adv. Water Resour., 33, 1494-1507, (2010)
[5] Hudson, A.J., Jing, L.: DECOVALEX-2011 Project: task C final report. Technical report (2012)
[6] Johannesson, LE; etal., Prototype repository: a full scale experiment at aspo HRL, Phys. Chem. Earth, 32, 58-76, (2007)
[7] Klomínský, J. et al.: Geologická a strukturní analýza granitoid\(\mathring{\rm u}\) z tunelu v Bedřichově v Jizerských horách (Geological and structural characteristics of granitoids in water-supply tunnels in Jizera mountains in period 2004-2005). (in Czech). SÚRAO: Radioactive Waste Repository Authority (2005) · Zbl 1083.76058
[8] Kristensson, O.: The EBS TF assignment concerning the Prototype Repository Test. Presentation at the Task Force EBS meeting, Clay Technology AB (2011, unpublished) · Zbl 1134.74033
[9] Martin, V; Jaffré, J; Roberts, JE, Modeling fractures and barriers as interfaces for flow in porous media, SIAM J. Sci. Comput., 26, 1667-1691, (2005) · Zbl 1083.76058
[10] Maryška, J; Severýn, O; Tauchman, M; Tondr, D, Modelling of processes in fractured rock using FEM/FVM on multidimensional domains, J. Comput. Appl. Math., 215, 495-502, (2008) · Zbl 1134.74033
[11] Paraview: Parallel Visualization Application. http://paraview.org/Wiki/index.php?oldid=37632. (last rev., 15 Feb 2011)
[12] Salome: The open source integration platform for numerical simulation. http://www.salome-platform.org/ (2012)
[13] Svensson, U.:. Groundwater flow, pressure and salinity around the Prototype Repository, Continuum model No 1, SKB International Progress, Report, IPR-01-40 (2001)
[14] Šembera, J., Maryška J., Královcová, J., Severýn, O.: A novel approach to modelling of flow in fractured porous medium, Kybernetika, 4/2008. pp. 577-588 (2008) · Zbl 1220.76042
[15] TUL: FLOW123D version 1.6.0, Documentation of file formats and brief user manual, NTI TUL. Online: http://dev.nti.tul.cz/ brezina/flow_doc/flow123d_manual.pdf (2010)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.