Dyke propagation with distributed damage of the host rock

Details Dyke propagation with distributed damage of the host rock Dyke propagation with distributed damage of the host rock

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999e%26psl.165..177m&link_type=abstract

Earth and Planetary Science Letters, Volume 165, Issue 2, p. 177-185.

Mathematics

Logic

8

Scientific paper

Observations of off-plane inelastic deformation around dykes motivate consideration of models of fluid-driven crack propagation in a solid which can undergo material degradation, or damage. The application to dyke propagation of a recently proposed damage rheology [Lyakhovsky et al., J. Geophys. Res. 102 (1997) 27635-27649] based on thermodynamical principles and experimental measurements is discussed. The rate of accumulation of damage in this rheology is the product of a material-dependent parameter cd and the square of the strain. For geological values, a dimensionless parameter cdη/ΔP characterizing the ratio of a damage timescale to a flow timescale is very small, where /η is the magmatic viscosity and ΔP the driving pressure. As a result, significant rates of damage are confined to a small region near the dyke tip, where the strain is large. Consideration of possible singularities in near-tip solutions, shows that the rate of propagation is governed by the viscous fluid mechanics. To a good approximation, the rate has a value equal to that given by the zero-stress-intensity solutions of previous models based on linear elastic fracture mechanics. Predictions from the damage rheology both of a narrow damage zone and of the rate of propagation are in good agreement with observations.

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