用共振声谱法求取圆柱扰动体的声速  

Deriving acoustic velocity of a coaxial cylinder in a cylindrical cavity by means of resonance acoustic spectroscopy

作　　者：徐德龙[1] 丛健生[1] 陈德华[1] 夏连晶[2] 孙庚轶[3] 

机构地区：[1]大庆石油学院地球科学学院,黑龙江大庆163318 [2]大庆油田有限责任公司第四采油厂,黑龙江大庆163511 [3]大庆油田有限责任公司第五采油厂,黑龙江大庆163513

出　　处：《大庆石油学院学报》2005年第3期1-3,119,共4页Journal of Daqing Petroleum Institute

基　　金：国家自然科学基金项目(49974024);大庆油田有限责任公司研究生基金项目(2003)

摘　　要：基于微扰理论研究了边侧面为刚性,上、下底面应力自由的圆柱体谐振腔内存在同轴圆柱扰动体的声速求取问题,得到圆柱扰动体存在时谐振腔的声势与共振频率的表达式;在此基础上,给出了应用迭代法与间接法求取扰动体声速的实例;结果表明,利用共振声谱法求取扰动体声速是可行的,间接法比直接法更适于低频岩石声速的测量.In this paper, the problem of obtaining the acoustic velocity of a small coaxial cylinder in a resonance cylindrical cavity is discussed on the basis of the perturbation theory. Analytical expressions, in a cylindrical cavity with the rigid walls and traction-free ends, are derived for the acoustic resonance frequency shifts caused by the inclusion of a coaxially small cylindrical samples. Two kinds of methods, iterative method and indirect method, for getting the acoustic velocity of an inner cylinder are probed into theoretically. The results show that these methods are feasible. Results show that the indirect method is better than iterative one in solving the problems of rock velocity measurements in low frequency.

关 键 词：共振声谱 微扰理论 声速 低频 

分 类 号：P631[天文地球—地质矿产勘探]