Prediction of porosity and permeability of caved zone in longwall gobs

Transport in Porous Media

Volumn 82, Issue 2, 2010, Pages 413-439

  Karacan, C Özgen ^a  

^a NATIONAL INSTITUTE FOR OCCUPATIONAL SAFETY AND HEALTH   (United States)

Author keywords

Caved zone; Fractal permeability; Fractals; Fragmentation; Hagen Poiseuille flow; Longwall gobs; Porous media

Indexed keywords

AIR LEAKAGE; AIRFLOW PATTERNS; BROKEN ROCK; CAVED ZONE; DIRECT MEASUREMENT; FLUID FLOW; FRACTAL POROUS MEDIUM; FRACTAL SCALING; HAGEN-POISEUILLE FLOW; LONGWALL OPERATIONS; LONGWALLS; MINING ENVIRONMENTS; PERMEABILITY CHANGE; POROUS MEDIA; POROUS MEDIUM; UNIAXIAL STRESS;

FLOW PATTERNS; FRACTALS; LEAKAGE (FLUID); METHANE; POROSITY; POROUS MATERIALS; SPONTANEOUS COMBUSTION;

CAPILLARITY;

FLUID FLOW; FRACTAL ANALYSIS; LONGWALL MINING; MODELING; PERMEABILITY; POROSITY; POROUS MEDIUM; ROCK MECHANICS;

EID: 77951623576     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9437-7     Document Type: Article

References (35)

1. Ahmed A. M. H., Drzymala J.: Two-dimensional fractal linearization of distributed curves. Physicochem. Probl. Miner. Process. 39, 129-139 (2005).
2. Arya L. M., Paris J. F.: A physicoemprical model to predict the soil moisture characteristics from particle-size distribution and bulk density data. Soil Sci. Soc. Am. J. 45, 1023-1030 (1981).
3. Arya L. M., Leij J. F., van Genucten M. Th., Shouse P.: Sealing parameter to predict the soil water characteristics from practicle size distribution data. Soil. Sci. Soc. Am. J. 63, 510-519 (1999).
4. Bitelli M., Gaylon S. C., Flury M.: Characterization of particle-size distribution in soils with a fragmentation model. Soil Sci. Soc. Am. J. 63, 782-787 (1999).
5. Brunner, D. J.: Ventilation models for longwall leakage simulation. 2nd US Mine Ventilation Symposium, 23-25 September, Reno, NV (1985).
6. Comegna V., Damiani P., Somella A.: Use of fractal model for determining soil water retention curves. Geoderma 85, 307-323 (1988).
7. Esterhuizen, G. S., Karacan, C.Ö.: Development of numerical models to investigate permeability changes and gas emission around longwall mining panels. The AlaskaRocks 2005, 40th US Symposium on Rock Mechanics, Anchorage, Alaska, 25-26 June (2005).
8. Esterhuizen, G. S., Karacan, C.Ö.: A methodology for determining gob permeability distributions and its application to reservoir modeling of coal mine longwalls. 2007 SME Annual Meeting, Denver, CO (2007).
9. Griffith A. A.: The phenomena of rupture and flow in solids. Philos. Trans. R. Soc. Lond. A221, 163-198 (1920).
10. Hunt A. G., Gee G. W.: Application of critical path analysis to fractal porous media: comparison with examples from the Hanford site. Adv. Water Resour. 25, 129-146 (2001).
11. Jacquin C. G., Adler P. M.: Fractal porous media II: geometry of porous geologic structures. Transp. Porous Media 2, 571-596 (1988).
12. Karacan C.Ö., Halleck P. M.: A fractal model for predicting permeability around perforation tunnels using size distribution of fragmented grains. J. Pet. Sci. Eng. 40, 159-176 (2003).
13. Karacan C.Ö., Esterhuizen G. S., Schatzel S. J., Diamond W. P.: Reservoir simulation-based modeling for characterizing longwall methane emissions and gob gas venthole production. Int. J. Coal Geol. 71(2-3), 225-245 (2007).
14. Kozak E., Pachepsky Y. A., Sokolowski S., Sokolowska Z., Stepniewski W.: A modified number-based method for estimating fragmentation fractal dimension of soils. Soil Sci. Soc. Am. J 60, 1291-1297 (1996).
15. Li X.-Y., Logan B. E.: Permeability of fractal aggregates. Water Resour. 35, 3373-3380 (2001).
16. Mandelbrot B. B., Passaja D. E., Paulley A. J.: Fractal character of fracture surfaces of metals. Nature 21, 308 (1994).
17. McDowell G. R., Bolton M. D., Robertson D.: The fractal crushing of granular materials. J. Mech. Phys. Solids 44, 2079-2101 (1996).
18. Mortensen N. A., Okkels F., Bruss H.: Reexamination of Hagen-Poiseuille flow: shape dependence of the hydraulic resistance in microchannels. Phys. Rev. E 71(057301), 1-4 (2005).
19. Pappas, D. M., Mark, C.: Behavior of simulated longwall gob material. Report of Investigations RI No. 9458, US Department of Interior, US Bureau of Mines (1993).
20. Perfect E.: Fractal models for the fragmentation of rocks and soils: a review. Eng. Geol. 48, 185-198 (1997).
21. Perfect E., Kay B. D.: Applications of fractals in soil and tillage research: a review. Soil Tillage Res. 36, 1-20 (1995).
22. Ren, T. X., Edwards, J. S., Josefowicz, R. R.: CFD modeling of methane flow around longwall coal faces. 6th International Mine Ventilation Congress, 17-22 May, Pittsburgh, PA (1997).
23. Rieu M., Sposito G.: Fractal fragmentation, soil porosity and soil water properties: theory. Soil Sci. Soc. Am. J. 55, 1231-1238 (1991).
24. Sammis C. G., Steacy S. J.: Fractal fragmentation in crustal shear zones. In: Barton, C., La Pointe, P. R. (eds) Fractals in the Earth Sciences, pp. 265. Pleanum Publishin Co., New York, NY (1995).
25. Schlueter E. M., Zimmerman R. W., Witherspoon P. A., Cook N. G. W.: The fractal dimension of pores in sedimentary rocks and its influence on permeability. Eng. Geol. 48, 199-215 (1997).
26. Turcotte D. L.: Fractals and fragmentation. J. Geophys. Res. 91, 1921-1926 (1986).
27. Tyler S. W., Wheatcraft S. W.: Application of fractal mathematics to soil water retention estimation. Soil Sci. Soc. Am. J. 53, 987-996 (1989).
28. Tyler S. W., Wheatcraft S. W.: Fractal scaling of soil particle size distributions: analysis and limitations. Soil Sci. Soc. Am. J. 56, 363-369 (1992).
29. Weiss J.: Fracture and fragmentation of ice: a fractal analysis of scale invariance. Eng. Fract. Mech. 68, 1975-2012 (2001).
30. Wendt M., Balusu R.: CFD modeling of longwall goaf gas flow dynamics. Coal Saf. 20, 17-34 (2002).
31. Wheatcraft S. W., Tyler S. W.: An explanation to scale-dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry. Water Resour. Res. 24, 566-578 (1988).
32. Whittles D. N., Lowndes I. S., Kingman S. W., Yates C., Jobling S.: Influence of geotechnical factors on gas flow experienced in a UK longwall coal mine panel. Int. J. Rock Mech. Min. Sci. 43, 369-387 (2006).
33. Yavuz H.: An estimation of cover pressure re-establishment distance and pressure distribution in the goaf longwall coal mines. Int. J. Rock Mech. Min. Sci. 41, 193-205 (2004).
34. Yu B. M., Cheng P.: A fractal model for bi-dispersed porous media. Int. J. Heat Mass Transf. 45(11), 2983-2993 (2002).
35. Yu B. M., Liu W.: Fractal analysis of permeabilities for porous media. AIChE J. 50(1), 46-57 (2004).