Biot理论的唯象修正对P波特性的影响  

EFFECT OF PHENOMENOLOGICAL CORRECTION ON P-WAVE FOR BIOT's THEORY

作　　者：席道瑛[1] 易良坤[1] 张程远[1] 

机构地区：[1]中国科学技术大学地球及空间科学系第三世界科学院地球科学及天文学高级研究中心,合肥230026

出　　处：《岩石力学与工程学报》2004年第18期3162-3167,共6页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金(40174050)资助课题。

摘　　要：将Debye模型的复模量引入Biot方程后,在一维条件下讨论P波的传播特性。无论在频率谱或温度谱上都出现了热弛豫衰减峰和Biot衰减峰。在频率谱上,两峰随着温度的升高,低频段弛豫峰向高频方向移动,高频段的Biot峰向低频方向移动;在温度谱上,随着频率的提高,低温段的弛豫峰向高温方向移动,高温段的Biot峰向低温方向移动。由于热驰豫和Biot两种机制的作用导致波速在频率谱上随频率增高波速增大,并在较高温度时随频率增高出现两个拐点。在温度谱上随温度升高波速下降后又上升。该结果已被部分实验证实,并较好地从理论上解释了前人的实验结果。In this paper 1D P-wave characteristics are discussed when complex modulus is introduced into Biot equation. It is clear that thermal relaxation attenuation peak and Biot attenuation peak appear on both frequency and temperature domains. These two peaks change while temperature increases. The relaxation peak moves from low frequency side to high one,and Biot peak moves from high frequency side to low one. Also they change when frequency increases. The relaxation peak moves to high temperature side and Biot peak moves to low side. It is found that the combination of thermal relaxation and Biot mechanism leads to increment of wave velocity with two inflection points when its frequency rises. For the same reason,wave velocity decreases and then increases as temperature rises. The results are testified by experiments which are made by the authors. Some published experimental results are also well modeled in this way.

关 键 词：岩石物理学 热弛豫峰 Biot峰 P波速度 频率谱 温度谱 

分 类 号：TU435[建筑科学—岩土工程]