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dominates over the stress variation and, when the consequence of fluid injection with re-
gard to the induced seismicity is considered, the stress perturbations can often be ignored.
Disregarding the stress change in the rock caused by injection is a conservative approach
because these kinds of perturbations are usually of a stabilizing nature (see Appendix G
for a detailed explanation).
Pore pressure increases in the joints and faults are potentially destabilizing, since they
Figure
(a) Injection of a finite volume of fluid inside the porous elastic sphere embedded in a large impermeable
elastic body induces a pore pressure increase
Δρ
inside the sphere as well as a stress perturbation
Δσ
inside and
outside the sphere, caused by the expansion
Δ
V of the sphere. (b) If the sphere is freed from its elastic surround-
of the sphere. (b) If the sphere is freed from its elastic surround-
ing, it will expand by the amount
Δ
V
*
due to the pore pressure increase
Δρ
. (c) A confining stress
Δσ
*
needs
to be applied on the free sphere to prevent the expansion
Δ
V
*
caused by
Δρ
. If the material in the surrounding
medium is much softer than the material in the sphere, then
Δ
V
≃
Δ
V
*
and
Δσ
≃
0; if the medium is much stiffer,
then
Δ
V
Δσ
*
.
Δσ
refers only to the radial stress in the exterior region. Note: Syringe based on a
concept from H.F. Wang (Wang, 2000).
≃
0 and
Δσ
≃
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