A compressive echelon fault structure is modeled using an explicit finite difference
code (FLAC). The Weibull distribution is used to reflect the heterogeneity of
elemental parameters. The released elastic strain energies due to shear and tensile
failures are calculated using FISH functions. We examine the failed zone propagation
process and the temporal and spatial distribution of the released strain energy,
emphasizing those during the jog intersection.
A specimen including two parallel faults with an overlap is divided into square
elements. Rock and faults are considered as nonhomogeneous materials with
uncorrelated mechanical parameters (elastic modulus, tensile strength and cohesion).
A Mohr–Coulomb criterion with tension cut-off and a post-peak brittle law are used.
During the jog intersection, high values of released
tensile strain energy are found at
wing failure zones and at fault tips, while high values of released
shear strain energy
are found at faults. Despite the jog intersection, the released strain energy in the jog
is not high.
We also introduce a quantity
describing the slope of the curve connecting the number of failed
elements and the energy released. This is similar to the quantity
found in the literature, but is expressed in units of
J. Before
the jog intersection, some anomalies associated with shear sliding of rock blocks along
faults can be observed from the number of failed elements (in shear, in tension and in
either), the accumulated released strain energy due to shear and tensile
failures, the strain energy release rates in shear and in tension, and the value of
. As deformation
proceeds, the evolution of
is calculated according to two kinds of the released energy: total energy due to shear
and tensile failures and shear strain energy. The two exhibit similar behavior,
suggesting that the released strain energy in shear is much higher than in
tension.
Keywords
compressive echelon fault structure, jog intersection,
failed zone, released strain energy, heterogeneity, shear
failure