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Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock.
- Source :
-
Journal of Applied Mechanics . Sep2018, Vol. 85 Issue 9, p1-10. 10p. - Publication Year :
- 2018
-
Abstract
- Based on the KGD scheme, this paper investigates, with both analytical and numerical approaches, the propagation of a hydraulic fracture with a fluid lag in permeable rock. On the analytical aspect, the general form of normalized governing equations is first formulated to take into account both fluid lag and leak-off during the process of hydraulic fracturing. Then a new self-similar solution corresponding to the limiting case of zero dimensionless confining stress (T=0) and infinite dimensionless leak-off coefficient (L=∞) is obtained. A dimensionless parameter R is proposed to indicate the propagation regimes of hydraulic fracture in more general cases, where R is defined as the ratio of the two time-scales related to the dimensionless confining stress T and the dimensionless leak-off coefficient L. In addition, a robust finite element-based KGD model has been developed to simulate the transient process from L=0 to L=∞ under T=0, and the numerical solutions converge and agree well with the self-similar solution at T=0 and L=∞. More general processes from T=0 and L=0 to T=∞ and L=∞ for three different values of R are also simulated, which proves the effectiveness of the proposed dimensionless parameter R for indicating fracture regimes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE element method
*HYDRAULIC fracturing
*ROBUST statistics
Subjects
Details
- Language :
- English
- ISSN :
- 00218936
- Volume :
- 85
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 130941731
- Full Text :
- https://doi.org/10.1115/1.4040331