Analytical solution of coupled stress-flow-transport processes in a single rock fracture

Computers and Geosciences

Volumn 37, Issue 9, 2011, Pages 1437-1449

  Zhao, Zhihong ^a   Jing, Lanru ^a   Neretnieks, Ivars ^a   Moreno, Luis ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Analytical solution; Fluid flow; Single rock fractures; Stress; Transport

Indexed keywords

ADVECTIVE TRANSPORT; ANALYTICAL SOLUTIONS; CLOSED FORM SOLUTIONS; CUBIC LAWS; DIFFERENT TRANSPORT MODELS; FLOW DIRECTION; FRACTURE APERTURES; FRACTURE NETWORK; HYDRODYNAMIC DISPERSIONS; MATRIX DIFFUSION; MATRIX POROSITY; POROUS ROCKS; ROCK FRACTURES; ROCK MATRIX; SHEAR DILATANCY; SINGLE FRACTURE; SINGLE ROCK FRACTURES; SOLUTE CONCENTRATIONS; STRESS CONDITION; TRANSPORT; TRANSPORT MECHANISM; TWO-DIMENSIONAL (2D) PROBLEMS;

BOUNDARY CONDITIONS; CHEMICAL ANALYSIS; CONSTITUTIVE MODELS; CRYSTALLINE ROCKS; FLOW OF FLUIDS; INLET FLOW; ROCKS; VOLCANIC ROCKS; WAKES;

FRACTURE;

ADVECTION; ANALYTICAL FRAMEWORK; BOUNDARY CONDITION; CRYSTALLINE ROCK; DEFORMATION; FLUID FLOW; FRACTURE APERTURE; FRACTURE NETWORK; HYDRODYNAMICS; NUMERICAL MODEL; POROSITY; POROUS MEDIUM; SOLUTE; STRESS ANALYSIS; TRANSPORT PROCESS;

EID: 80051555169     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2011.02.015     Document Type: Article

References (42)

1. Archie G.E. The electrical resistivity log as an aid in determining some reservoir characteristics. Petroleum Technology 1942, 146:54-62.
2. Bandis S., Lumsden A.C., Barton N.R. Fundamentals of rock joint information. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 1983, 20:249-268.
3. Barton N.R., Bandis S., Bakhtar K. Strength, deformation and conductivity coupling of rock joints. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 1985, 22:121-140.
4. Bear J. Dynamics of Fluids in Porous Media 1972, Elsevier, New York, 764 pp.
5. Berkowitz B., Zhou Z. Reactive solute transport in a single fracture. Water Resource Research 1996, 32(4):901-913.
6. Bodin J., Delay F., de Marsily G. Solute transport in a single fracture with negligible matrix permeability: 1. Fundamental mechanisms. Hydrogeology Journal 2003, 11:418-433.
7. Bodin J., Delay F., de Marsily G. Solute transport in a single fracture with negligible matrix permeability: 2. Mathematical formalism. Hydrogeology Journal 2003, 11:434-454.
8. Carslaw H.S., Jaeger J.C. Conduction of Heat in Solids. New York 1959, Oxford University Press, 510 pp. 2nd ed.
9. Cook N.G.W. Natural joints in rock: mechanical, hydraulic and seismic behaivor and properties under normal stress. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 1992, 29(3):198-223.
10. Cormenzana I. Transport of a two-member decay chain in a single fracture: simplified analytical solution for two radionuclides with the same transport properties. Water Resource Research 2000, 36(5):1339-1346.
11. Danckwerts P.V. Continuous flow systems: distribution of residence times. Chemical Engineering Science 1953, 2:1-13.
12. Detwiler R.L., Rajaram H., Glass R.J. Solute transport in variable-aperture fractures: an investigation of the relative importance of Taylor dispersion and macrodispersion. Water Resource Research 2000, 36(7):1611-1625.
13. Freeze R.A., Cherry J.A. Groundwater 1979, Prentice-Hall, Englewood Cliffs, NJ, 604 pp.
14. Goodman R.E. Methods of Geological Engineering in Discontinuous Rocks 1976, West Publishing Company, San Francisco, 472 pp.
15. Han G., Dusseault B.M. Description of fluid flow around a wellbore with stress-dependent porosity and permeability. Journal of Petroleum Science and Engineering 2003, 40:1-16.
16. Jaeger J.C., Cook N.G.W., Zimmerman R.W. Fundamentals of Rock Mechanics 2007, Blackwell Publishing, 488 pp. 4th ed.
17. Jing L. A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering. International Journal of Rock Mechanics and Mining Sciences 2003, 40:283-353.
18. Jing L., Stephansson O. Fundamentals of Discrete Element Methods for Rock Engineering-Theory and Application 2007, Elsevier Science Publishers, Rotterdam, 562 pp.
19. Kreft A., Zuber A. On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions. Chemical Engineering Science 1978, 33:1471-1480.
20. Moreno L., Rasuson A. Contaminant transport through a fissured porous rock: impact of the inlet boundary condition on the concentration profile in the frock matrix. Water Resource Research 1986, 22(12):1728-1730.
21. Moreno L., Tsang Y.W., Tsang C.F., Hale F.V., Neretnieks I. Flow and tracer transport in a single fracture: a stochastic model and its relation to some field observations. Water Resource Research 1988, 24(12):2033-2048.
22. Neretnieks I. Diffusion in the rock matrix: an important factor in radionuclide retardation?. Journal of Geophysical Research 1980, 85(B8):4379-4397.
23. Neretnieks I. Tracer movement in a single fissure in granitic rock: some experimental results and their interpretation. Water Resource Research 1982, 18(4):849-858.
24. Pyrack-Nolte L.J., Myer L.R., Cook N.G.W., Witherspoon P.A. Hydraulic and mechanical properties of natural fractures in low-permeability rock. Proceedings 6th International Congress on Rock Mechanics 1987, 225-232. Montreal, Canada. G. Herget, S. Vongpaisal (Eds.).
25. Rasmuson A. Exact solution of some models for the dynamics of fixed beds using Danckwerts' inlet condition. Chemical Engineering Science 1986, 41(3):599-600.
26. Rasmuson A., Neretnieks I. Migration of radionuclides in fissured rock: the influence of micropore diffusion and longitudinal dispersion. Journal of Geophysical Research 1981, 86(B5):3749-3758.
27. Raven K.G., Gale J.E. Water flow in a natural rock fracture as a function of stress and sample. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 1985, 22(4):251-261.
28. Renshaw C.E. On the relationship between mechanical and hydraulic apertures in rough-walled fractures. Journal of Geophysical Research 1995, 100(B12):24629-24636.
29. Ruffet C., Dardot M., Gueguen Y. Surface conductivity in rocks: a review. Surveys in Geophysics 1995, 16(1):83-105.
30. Rutqvist J., Stephansson O. The role of hydromechanical coupling in fractured rock engineering. Hydrogeology Journal 2003, 11:7-40.
31. Shih D.C.F. Contaminant transport in one-dimensional single fractured media: semi-analytical solution for three-member decay chain with pulse and Heaviside input sources. Hydrological Processes 2007, 21:2135-2143.
32. Snow D.T. A parallel model of fractured permeable media. Ph.D. dissertation 1965, University of California, 331 pp.
33. Sudicky E.Q., Frind E.O. Contaminant transport in fractured porous media: analytical solutions for a system of parallel fractures. Water Resource Research 1982, 18(6):1634-1642.
34. Sudicky E.A., Frind E.O. Contaminant transport in fractured porous media: analytical solutions for a two-member decay chain in a single fracture. Water Resource Research 1984, 20(7):1021-1029.
35. Sun Y., Buschec T.A. Analytical solutions for reactive transport of N-member radionuclide chains in a single fracture. Journal of Contaminant Hydrology 2003, 62-63:695-712.
36. Swan G. Determination of stiffness and other joint properties from roughness measurements. Rock Mechanics and Rock Engineering 1983, 16:19-38.
37. Tang D.H., Frind E.O., Sudicky E.A. Contaminant transport in fractured porous media: analytical solution for a single fracture. Water Resource Research 1981, 17(3):555-564.
38. Van Genuchten M.Th., Parker J.C. Boundary conditions for displacement experiments through short laboratory soil columns. Soil Science Society of America Journal 1984, 48:703-708.
39. West M.R., Kueper B.H., Novakowski K.S. Semi-analytical solutions for solute transport in fractured porous media using a strip source of finite width. Advances in Water Resources 2004, 27:1045-1059.
40. Witherspoon P.A., Amick C.H., Gale J.E., Iwai K. Observations of a potential size effect in experimental determination of the hydraulic properties of fractures. Water Resource Research 1979, 15:1142-1146.
41. Zimmerman R.W. Compressibility of Sandstones, Developments in Petroleum Science 1991, vol. 29. Elsevier, New York, 181 pp.
42. Zimmerman R.W., Bodvarsson G.S. Hydraulic conductivity of rock fractures. Transport in Porous Media 1996, 23:1-30.