中文摘要：

小波分析在当前数学领域、物理领域和地质领域中,是一个发展迅速的分析工具,它同时具有理论上的深刻性和应用的广泛性.由于小波具有时频分析的重要特性,已经在地球物理的相关问题研究中显示其独特的作用.本文较全面的介绍了小波分析理论基础、发展历史,及其在我国地球物理学研究中的应用进展,并在此基础上对地球物理领域小波分析所存在的问题以及应用前景作了进一步的分析.

英文摘要：

Wavelet analysis in the current mathematics,physics field and geological field,is a fast-growing analytical tool,it also possesses the theoretical profundity and extensive applicability.Because of its excellent local time-frequency analysis and multi-analysis,wavelet transform has been used well in the field of geophysical problems.This paper comprehensively introduces wavelet theory,developing history,and its application in Chinese geophysical research progress.On the basis of geophysical fields of wavelet analysis We analysis the existing problems and further prospects of applications.