journal article·2025-11

A pre-existing fluid-driven permeable fracture with Darcy flow

Mathibele Nchabeleng, Adewunmi Fareo

International Journal of Fracture· Volume 249· Issue 4
Publisher page

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Groundwater flow and contamination studies · Numerical methods in engineering · Hydraulic Fracturing and Reservoir Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (25)

Show source-provided references
1. Acheson DJ (1990) Elementary fluid dynamics. Oxford University Press10.1093/oso/9780198596608.001.0001 ↗
2. Carter R, et al (1957) Derivation of the general equation for estimating the extent of the fractured area. Appendix I of Optimum Fluid Characteristics for Fracture Extension, Drilling and Production Practice, GC Howard and CR Fast, New York, New York, USA, American Petroleum Institute pp 261–269
3. Chen B, Barboza BR, Sun Y et al (2022) A review of hydraulic fracturing simulation. Archives of Computational Methods in Engineering 29(4):1–5810.1007/s11831-021-09653-z ↗
4. Crittendon BC (1959) The mechanics of design and interpretation of hydraulic fracture treatments. J Petrol Technol 11(10):21–2910.2118/1106-G ↗
5. Fitt A, Mason D, Moss E (2007) Group invariant solution for a pre-existing fluid-driven fracture in impermeable rock. Z Angew Math Phys 58:1049–106710.1007/s00033-007-7038-2 ↗
6. Geertsma J, De Klerk F (1969) A rapid method of predicting width and extent of hydraulically induced fractures. J Petrol Technol 21(12):1571–158110.2118/2458-PA ↗
7. Harrison E, Kieschnick W Jr, McGuire W (1954) The mechanics of fracture induction and extension. Transactions of the AIME 201(01):252–26310.2118/318-G ↗
8. Howard G, Fast C (1957) Optimum fluid characteristics for fracture extension. In: Drilling and production practice, American Petroleum Institute, pp 261–270
9. Khristianovic S, Zheltov YP (1955) Formation of vertical fractures by means of highly viscous liquid. In: World petroleum congress proceedings, pp 579–586
10. Lavrov A (2025) Modified leak-off equation for hydraulic fracture modelling. Journal of Petroleum Exploration and Production Technology 15(6):10710.1007/s13202-025-02007-6 ↗
11. Mack MG, Warpinski NR, Economides MJ, et al (2000) Mechanics of hydraulic fracturing. Reservoir stimulation 6(1)
12. Mathias SA, van Reeuwijk M (2009) Hydraulic fracture propagation with 3-d leak-off. Transp Porous Media 80:499–51810.1007/s11242-009-9375-4 ↗
13. Mitchell SL, Kuske R, Peirce A (2007) An asymptotic framework for finite hydraulic fractures including leak-off. SIAM J Appl Math 67(2):364–38610.1137/04062059X ↗
14. Nchabeleng M, Fareo A (2018) Group invariant solution for a fluid-driven permeable fracture with darcy flow in porous rock medium. Int J Non-Linear Mech 99:79–8510.1016/j.ijnonlinmec.2017.11.001 ↗
15. Nordgren R (1972) Propagation of a vertical hydraulic fracture. Soc Petrol Eng J 12:306–31410.2118/3009-PA ↗
16. Perkins TK, Kern LR (1961) Widths of hydraulic fractures. J Petrol Technol 13(09):937–94910.2118/89-PA ↗
17. Smirnov N, Tagirova V (2007) Self-similar solutions of the problem of formation of a hydraulic fracture in a porous medium. Fluid Dyn 42(1):60–7010.1134/S0015462807010073 ↗
18. Sneddon I, Elliot H (1946) The opening of a griffith crack under internal pressure. Q Appl Math 4(3):262–26710.1090/qam/17161 ↗
19. Sneddon IN (1946) The distribution of stress in the neighbourhood of a crack in an elastic solid. Proc R Soc Lond A 187(1009):229–26010.1098/rspa.1946.0077 ↗
20. Spence D, Sharp P (1985) Self-similar solutions for elastohydrodynamic cavity flow. Proceedings of the Royal Society of London A Mathematical and Physical Sciences 400(1819):289–31310.1098/rspa.1985.0081 ↗
21. Spence D, Turcotte D (1985) Magma-driven propagation of cracks. Journal of Geophysical Research Solid Earth 90(B1):575–58010.1029/JB090iB01p00575 ↗
22. Wang H, Yi S, Sharma MM (2018) A computationally efficient approach to modeling contact problems and fracture closure using superposition method. Theoret Appl Fract Mech 93:276–28710.1016/j.tafmec.2017.09.009 ↗
23. Whitaker S (1996) The forchheimer equation: a theoretical development. Transp Porous Media 25(1):27–6110.1007/BF00141261 ↗
24. Wrobel M, Mishuris G (2015) Hydraulic fracture revisited: Particle velocity based simulation. Int J Eng Sci 94:23–5810.1016/j.ijengsci.2015.04.003 ↗
25. Zeng Z, Grigg R (2006) A criterion for non-darcy flow in porous media. Transp Porous Media 63:57–6910.1007/s11242-005-2720-3 ↗