Self-similar solution of a hydraulic fracture problem for a poroelastic medium

2017 ◽  
Vol 9 (6) ◽  
pp. 657-668
Author(s):  
A. V. Karakin ◽  
M. M. Ramazanov ◽  
V. E. Borisov ◽  
I. S. Men’shov ◽  
E. B. Savenkov
Keyword(s):  
Hydraulic Fracture ◽  
Similar Solution ◽  
Poroelastic Medium ◽  
Self Similar Solution ◽  
Self Similar

scholarly journals Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock

2018 ◽  
Vol 85 (9) ◽  
Author(s):  
B. Chen ◽  
Andrew R. Barron ◽  
D. R. J. Owen ◽  
Chen-Feng Li
Keyword(s):  
Hydraulic Fracture ◽  
Dimensionless Parameter ◽  
Numerical Solutions ◽  
Similar Solution ◽  
Confining Stress ◽  
Self Similar Solution ◽  
Permeable Rock ◽  
Self Similar ◽  
Fluid Lag ◽  
Limiting Case

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.

Self-similar solution analysis of hydraulic fracture growth with bottom hole pressure restriction

2020 ◽  
Author(s):  
Grigory Paderin
Keyword(s):  
Hydraulic Fracturing ◽  
Hydraulic Fracture ◽  
Environmental Science ◽  
Height Growth ◽  
Similar Solution ◽  
Hole Pressure ◽  
Bottom Hole Pressure ◽  
Bottom Hole ◽  
Self Similar Solution ◽  
Self Similar

<p>Nowadays hydraulic fracturing is an essential part of the development of low-permeability oil and gas fields. Moreover, the well productivity dynamics is radically depends on the effectiveness of fracturing treatment. One of the main hydraulic fracturing design problem is create a long fracture without crack height growth into the intervals saturated with non-target fluid (e.g. water). The obtaining self-similar solution to this problem in the framework of the Pserudo3D [1-3] model is considered in the presented study.</p><p>The presented crack propagation analysis shows that in the case of constant bottom hole pressure the automodel solution of one variable could be derived. A study on the dependence of the solution on pressure, time, hydraulic fluid properties and leak off is also conducted.</p><p>REFERENCES<br>[1] J.I. Adachi, E. Detournay, and A. P. Peirce // Analysis of the classical pseudo-3D model for hydraulic fracture with equilibrium height growth across stress barriers. International Journal of Rock Mechanics and Mining Sciences. 2010. 47 (4): 625–639. <br>[2] X. Weng, O. Kresse, C. Cohen, R. Wu, and H. Gu // Modeling of hydraulic-fracture-network propagation in a naturally fractured formation. SPE Production & Operations  2011. 26 (4): 368–380. doi:10.2118/140253-PA.<br>[3] G.V. Paderin // Proxy Pseudo3D model: the optimum of speed and accuracy in hydraulic fracturing simulation. IOP Conference Series: Earth and Environmental Science. 2018.</p>

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