G. Natale et al., ROCK DEFORMATION AND FRACTURING PROCESSES DUE TO NONLINEAR SHOCK-WAVES PROPAGATING IN HYPERTHERMAL FLUID PRESSURIZED DOMAINS, J GEO R-SOL, 103(B7), 1998, pp. 15325-15338
An analytical model for rock deformation and fracturing processes due
to nonlinear waves of temperature and pressure and evolving with parti
cularly large velocities in a fluid-saturated rock over a hyperthermal
aquifer is here discussed. As in classical studies by Rice and Cleary
[1976], McTigue [1986], and also Bonafede [1991] and Natale and Salus
ti [1996], the upper fluid-saturated matrix is considered homogeneous,
thermoelastic, and isotropic in a one-dimensional formulation. As reg
ards the nonlinear wave generation mechanism; at the boundary between
the two horizons the hot fluid from below is forced upward by a pressu
re gradient, thus giving rise to strong pressure and temperature pertu
rbations. In such a context, in order to schematize wave-induced rock
deformation and fracturing processes we assume a continuous temperatur
e and pressure dependence of model parameters such as fluid diffusivit
y and thermal expansivity of the rock and fluid, The solution we obtai
n is a strong shock wave corresponding to nonlinear fluid migration me
chanisms, in turn enhanced by the flow through the induced fractures i
n the overlying rock. It has to be stressed that once such a process s
tarts off, it may be amplified and also may produce rather catastrophi
c behavior in the natural system. This model essentially provides a th
eoretical tool for interpreting such geophysical effects, in particula
r for volcanic complexes such as the Rabaul caldera, Long Valley calde
ra, Campi Flegrei, the island of Vulcano, or similar kinds of geologic
al system.