World Library  


Add to Book Shelf
Flag as Inappropriate
Email this Book

Simulation of Rock Salt Dissolution and Its Impact on Land Subsidence : Volume 18, Issue 6 (17/06/2014)

By Zidane, A.

Click here to view

Book Id: WPLBN0004011117
Format Type: PDF Article :
File Size: Pages 13
Reproduction Date: 2015

Title: Simulation of Rock Salt Dissolution and Its Impact on Land Subsidence : Volume 18, Issue 6 (17/06/2014)  
Author: Zidane, A.
Volume: Vol. 18, Issue 6
Language: English
Subject: Science, Hydrology, Earth
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2014
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

Citation

APA MLA Chicago

Younes, A., Huggenberger, P., Zechner, E., & Zidane, A. (2014). Simulation of Rock Salt Dissolution and Its Impact on Land Subsidence : Volume 18, Issue 6 (17/06/2014). Retrieved from http://hawaiilibrary.net/


Description
Description: Applied and Environmental Geology, Environmental Sciences Department, University of Basel, Bernoullistrasse 32, 4056 Basel, Switzerland. Extensive land subsidence can occur due to subsurface dissolution of evaporites such as halite and gypsum. This paper explores techniques to simulate the salt dissolution forming an intrastratal karst, which is embedded in a sequence of carbonates, marls, anhydrite and gypsum. A numerical model is developed to simulate laminar flow in a subhorizontal void, which corresponds to an opening intrastratal karst. The numerical model is based on the laminar steady-state Stokes flow equation, and the advection dispersion transport equation coupled with the dissolution equation. The flow equation is solved using the nonconforming Crouzeix–Raviart (CR) finite element approximation for the Stokes equation. For the transport equation, a combination between discontinuous Galerkin method and multipoint flux approximation method is proposed. The numerical effect of the dissolution is considered by using a dynamic mesh variation that increases the size of the mesh based on the amount of dissolved salt. The numerical method is applied to a 2-D geological cross section representing a Horst and Graben structure in the Tabular Jura of northwestern Switzerland. The model simulates salt dissolution within the geological section and predicts the amount of vertical dissolution as an indicator of potential subsidence that could occur. Simulation results showed that the highest dissolution amount is observed near the normal fault zones, and, therefore, the highest subsidence rates are expected above normal fault zones.

Summary
Simulation of rock salt dissolution and its impact on land subsidence

Excerpt
Aavatsmark, I.: An introduction to multipoint flux approximations for quadrilateral grids, Comput. Geosci., 6, 404–432, 2002.; Aavatsmark, I., Barkve, T., Bøe, Ø., and Mannseth, T.: Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media, J. Comput. Phys., 127, 2–14, 1996.; Aizinger, V., Dawson, C., Cockburn, B., and Castillo, P.: The local discontinuous Galerkin method for contaminant transport, Adv. Water Resour., 24, 73–87, 2001.; Anderson, R. Y. and Kirkland, D. W.: Dissolution of salt deposits by brine density flow, Geology, 8, 66–69, 1980.; Arnold, D. N.: On nonconforming linear-constant elements for some variants of the Stokes equations, presenta dal s.c. Franco Brezzi nella seduta del 24 June 1993, Istit. Lombardo Accad. Sci. Lett. Rend. A, 22, 83–93, 1993.; Baumann, C. E. and Oden, J. T.: A discontinuous hp finite element method for convection–diffusionproblems, Comput. Meth. Appl. Mech. Eng., 175, 311–341, 1999.; Arnold, D. N., Brezzi, F., Cockburn, B., and Marini, L. D.: Unified analysis of discontinuous Galerkin methods for elliptic problems, SIAM J. Numer. Anal., 5, 1749–1779, 2002.; Boufadel, M.: A mechanistic study of nonlinear solute transport in a groundwater-surface water system under steady state and transient hydraulic conditions, Water Resour. Res., 36, 2549–2565, doi:10.1029/2000WR900159, 2000.; Brezzi, F. and Fortin, M.: Mixed and hybrid finite element methods, Springer, Berlin, 1991.; Bruman, E. and Hansbo, P.: A stabilized nonconforming finite element method for incompressible flow, Comput. Meth. Appl. Mech. Eng., 195, 2881–2899, doi:10.1016/j.cma.2004.11.033, 2004.; Bruman, E. and Hansbo, P.: Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem, Numer. Met. Part. Different. Equat., 21, 986–997, 2005.; Cardenas, M. B., Slottke, D. T., Ketcham, R. A., and Sharp, J. M.: Navier–Stokes flow and transport simulations using real fractures shows heavy tailing due to eddies, Geophys. Res. Lett., 34, L14404, doi:10.1029/2007GL030545, 2007.; Cockburn, B. and Shu, C. W.: The Runge-Kutta Discontinuous Galerkin Method for conservative laws V: Multidimentional Systems, J. Comput. Phys., 141, 199–224, 1998.; Cockburn, B., Hou, S., ans Shu, C. W.: TVB Runge Kutta local projection discontinuous Galerkin finite element method for conservative laws III: One dimensional systems, J. Comput. Phys., 84, 90–113, 1989.; Crouzeix, M. and Raviart, P.: Conforming and nonconforming finite element methods for solving the stationary Stokes equations, RAIRO Sér. Rouge, 7, 33–75, 1973.; Happel, J. and Brenner, H.: Low Reynolds Number Hydrodynamics, Prentice Hall Inc., Englewood Cliffs, NJ, 1965.; Edwards, M. G. and Rogers, C. F.: Finite volume discretization with imposed flux continuity for the general tensor pressure equation, Comput. Geosci., 2, 259–290, 1998.; Flekkøy, E. G., Rage, T., Oxaal, U., and Feder, J.: Hydrodynamic Irreversibility in Creeping Flow, Phys. Rev, PACS numbers, Phys. Rev. Lett., 77, 4170–4173, doi:10.1103/PhysRevLett.77.4170, 1996.; Fokker, P. A.: The behaviour of salt and salt caverns, Diss., University of Technology, Delft, 143 pp., 1995.; Frumkin, A.: Speleogenesis in salt – the Mount Sedom area, Israel, in: Speloegenesis – evolution of karst aquifers, edited by: Klimchouk, A. B., Ford, D. C., Palmer, A. N., and Dreybrodt, W., National Speleological Society, Huntsville, 443–451, 2000.; Frumkin, A. and Raz, E.: Collapse and subsidence associated with salt karstification along the Dead Sea, Carbon. Evapor., 16, 117–130, 2001.; Gechter, D.: Genesis and shapes of salt and gypsum solution cavities created by density driven groundwater flow: A laboratory experimental approach, Ph.D. thesis, Basel University

 

Click To View

Additional Books


  • Joint Inference of Groundwater-recharge ... (by )
  • Soil Moisture Retrieval Through a Mergin... (by )
  • The Effect of Empirical-statistical Corr... (by )
  • Towards Improving River Discharge Estima... (by )
  • Development of a Zoning-based Environmen... (by )
  • Hillslope-scale Experiment Demonstrates ... (by )
  • Modeling Glacier Melt and Runoff in a Hi... (by )
  • Modelling Microbiological Water Quality ... (by )
  • Functional Similarity in Landscape Scale... (by )
  • Benchmark Products for Land Evapotranspi... (by )
  • An Analyses of Long-term Precipitation V... (by )
  • The Hydrological Response to Climate Cha... (by )
Scroll Left
Scroll Right

 



Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.