TY - GEN
T1 - Influence of pressurization rate on borehole breakdown pressure in impermeable rocks
AU - Garagash, Dmitriy
AU - Detournay, Emmanuel M
PY - 1996/1/1
Y1 - 1996/1/1
N2 - This paper investigates the dependence of breakdown pressure, the critical pressure at which tensile failure is initiated at the borehole wall by fluid injection, on the rate of pressurization. The mathematical model explicitly accounts for the existence of micro-cracks at the borehole wall that trigger the failure process. Breakdown, in this context, occurs when the stress intensity factor of a critically oriented micro-crack reaches the rock toughness. The model is presently restricted to low-permeability/low-porosity rocks. By considering one-dimensional lubrication flow in the crack coupled with the non-local elastic response of the crack, the evolution of the net pressure, crack opening and stress intensity factor is obtained as functions of the pressurization rate. The relation between breakdown pressure and pressurization rate in the case of zero initial net pressure is shown to be controlled by only one dimensionless number: The ratio between the initial width of the unstressed micro-crack and the induced elastic opening at failure. It is shown that (i) the fluid pressure in the early stages of the pressurization history drops in the crack and that cavitation can occur, and (ii) local back-flow in the crack occurs. The dependence of breakdown pressure, pb, on the pressurization rate, A, is determined as well as the range of A, where p& varies significantly. The lower and upper bounds of this range of pressurization rate correspond to limiting regimes of slow and fast pressurization.
AB - This paper investigates the dependence of breakdown pressure, the critical pressure at which tensile failure is initiated at the borehole wall by fluid injection, on the rate of pressurization. The mathematical model explicitly accounts for the existence of micro-cracks at the borehole wall that trigger the failure process. Breakdown, in this context, occurs when the stress intensity factor of a critically oriented micro-crack reaches the rock toughness. The model is presently restricted to low-permeability/low-porosity rocks. By considering one-dimensional lubrication flow in the crack coupled with the non-local elastic response of the crack, the evolution of the net pressure, crack opening and stress intensity factor is obtained as functions of the pressurization rate. The relation between breakdown pressure and pressurization rate in the case of zero initial net pressure is shown to be controlled by only one dimensionless number: The ratio between the initial width of the unstressed micro-crack and the induced elastic opening at failure. It is shown that (i) the fluid pressure in the early stages of the pressurization history drops in the crack and that cavitation can occur, and (ii) local back-flow in the crack occurs. The dependence of breakdown pressure, pb, on the pressurization rate, A, is determined as well as the range of A, where p& varies significantly. The lower and upper bounds of this range of pressurization rate correspond to limiting regimes of slow and fast pressurization.
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M3 - Conference contribution
AN - SCOPUS:84962477282
SN - 905410838X
SN - 9789054108382
T3 - 2nd North American Rock Mechanics Symposium, NARM 1996
SP - 1075
EP - 1080
BT - 2nd North American Rock Mechanics Symposium, NARM 1996
A2 - Hassani, null
A2 - Mitri, null
A2 - Aubertin, null
PB - American Rock Mechanics Association (ARMA)
T2 - 2nd North American Rock Mechanics Symposium, NARM 1996
Y2 - 19 June 1996 through 21 June 1996
ER -