Growth rate of a penny-shaped crack in hydraulic fracturing of rocks
Abstract
The deformation and growth of a crack, fractured hydraulically, is investigated when fluid is injected from an inlet into the crack at a constant flow rate. The total flow rate at the inlet is divided as follows: flow rate extracted from an outlet hole; fluid loss rate from the crack surface; and total fluid mass change in the crack. Two cases are considered: (1) inlet flow rate is initially greater than the sum of the outlet flow and fluid loss rates; and (2) the reverse holds true. Ranges are shown for which the crack attains stationary states for given inlet flow rate and outlet pressure. For these two cases reasonable outlet flow rates are obtained when the outlet pressure is less than or equal to the difference between the tectonic stress and the fluid head at the inlet. Results are expected to be of use in considerations of heat extraction from hot, dry rock.
- Authors:
- Publication Date:
- Research Org.:
- Northwestern Univ., Evanston, IL (USA). Dept. of Civil Engineering
- OSTI Identifier:
- 5138861
- Report Number(s):
- PB-80-128184
- Resource Type:
- Technical Report
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 15 GEOTHERMAL ENERGY; 58 GEOSCIENCES; CRACKS; GROWTH; HYDRAULIC FRACTURES; ROCKS; HYDRAULIC FRACTURING; FLOW RATE; FLUID FLOW; HEAT EXTRACTION; HOT-DRY-ROCK SYSTEMS; PRESSURE GRADIENTS; PRESSURE MEASUREMENT; ROCK MECHANICS; COMMINUTION; FAILURES; FRACTURES; FRACTURING; GEOTHERMAL SYSTEMS; MECHANICS; 150906* - Geothermal Engineering- Reservoir Stimulation & Extraction Technology; 580300 - Mineralogy, Petrology, & Rock Mechanics- (-1989)
Citation Formats
Abe, H, Keer, L M, and Mura, T. Growth rate of a penny-shaped crack in hydraulic fracturing of rocks. United States: N. p., 1976.
Web.
Abe, H, Keer, L M, & Mura, T. Growth rate of a penny-shaped crack in hydraulic fracturing of rocks. United States.
Abe, H, Keer, L M, and Mura, T. 1976.
"Growth rate of a penny-shaped crack in hydraulic fracturing of rocks". United States.
@article{osti_5138861,
title = {Growth rate of a penny-shaped crack in hydraulic fracturing of rocks},
author = {Abe, H and Keer, L M and Mura, T},
abstractNote = {The deformation and growth of a crack, fractured hydraulically, is investigated when fluid is injected from an inlet into the crack at a constant flow rate. The total flow rate at the inlet is divided as follows: flow rate extracted from an outlet hole; fluid loss rate from the crack surface; and total fluid mass change in the crack. Two cases are considered: (1) inlet flow rate is initially greater than the sum of the outlet flow and fluid loss rates; and (2) the reverse holds true. Ranges are shown for which the crack attains stationary states for given inlet flow rate and outlet pressure. For these two cases reasonable outlet flow rates are obtained when the outlet pressure is less than or equal to the difference between the tectonic stress and the fluid head at the inlet. Results are expected to be of use in considerations of heat extraction from hot, dry rock.},
doi = {},
url = {https://www.osti.gov/biblio/5138861},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Jan 01 00:00:00 EST 1976},
month = {Thu Jan 01 00:00:00 EST 1976}
}