【摘要】 为调查非均匀流-固双相介质中的弹性波传播规律,本文推导了双重孔隙介质中的波传播方程,从双孔模型的设计、波动方程的推导、速度频散与衰减规律的分析、岩石物理实验的验证四个方面讨论了双孔波动理论的数学物理基础与实际意义.速度频散与衰减分析显示,双孔波动理论能兼容前人理论的所有特点.在岩石实验的验证中,本文与前人理论的对比显示,双孔波动理论能较好解释岩石内部地震波在中低频带的速度频散现象.更多还原

【Abstract】 To investigate elastic waves’ propagation laws in a heterogeneous fluid-solid 2-phase medium,this paper derived the wave propagation equations in a double-porosity model.The mathematical and physical basis and the practical significance of this theory are discussed in four aspects:model design,theoretical derivation,velocity dispersion and attenuation analysis and rock experiment verification.The velocity dispersion and attenuation analysis shows double-porosity wave theory is in good agreement with former theoretical results in all wave’s characteristics.Comparisons with former theories in rock experiment verifications show that the double-porosity wave theory can provide much better prediction for the moderate-low frequency wave velocity dispersion in actual rocks.更多还原