温度对水饱和孔隙介质压缩波速度的影响

温度作用使孔隙介质密度、弹性模量等参数发生改变，从而影响声波传播性质。文章基于变形体能量守恒定律，考虑热机耦合和两相介质热耦合，推导水饱和孔隙介质的热传导方程；考虑孔隙水和固相孔隙介质存在的三种耦合性，基于热作用下应力应变关系分析，建立了热机耦合声波传播模型；设计温度变化沉积物样品声学测量实验，当温度由2℃增加到27℃时，压缩波速度平均增大88m·s^-1运用热机耦合声波传播模型解释了实验测量结果的上升趋势，获得理论计算值与测量值相对偏差范围为-3．03％～1．19％。

Thermal effect on compressional speed of water-saturated porous medium

Thermal effect leads to changes of density, elastic modulus and so on of porous medium, which affects the propagation characteristics of acoustic wave. In this paper a heat transfer equation of water-saturated porous medium is presented on the basis of energy conservation theory of deformable bodies, with considering the thermo-mechanical coupling and interphase thermal coupling. Thus, a thermo-mechanical coupling wave propagation model is set up based on analysis of thermal-effected strain and stress of water-saturated porous medium, with the consideration of three couplings between the porous water and porous solid phase. An experiment is carried out to measure compressional speeds of sediment samples under the control of temperature, which gets the increase of 88m ·s^-1 in ultrasonic velocity with temperature varied from 2℃ to 27℃. The experimental results are well explained by the set- up model and relative errors in comparison with the theoretical calculations are from negative 3.03 percent to 1.19 percent.