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Temperature Dependence of Ultrasonic Velocities in Fluid-Saturated Rocks: Experiments and Modelling

Summary Understanding the effect of temperature on the physical properties of rocks is important to develop deep oil, gas and geothermal resources. However, relatively little effort has thus far been made to capture the temperature effect on velocity in fluid saturated rocks. To overcome this limitation, a double-porosity medium model is developed, which incorporates the Batzle-Wang empirical equations for the pressure and temperature dependence of the pore fluid, as well as the David and Zimmerman models to quantify temperature-dependent micro-crack density. This model is tested on samples of carbonate, for which the variation of ultrasonic P-wave velocity with temperature has been measured. Modeling and experimental data show that the proposed model is versatile enough to quantitively describe the velocity-temperature relation. It turns out that for these rock samples the temperature-dependent fluid properties dominate the velocity-temperature relations.