Limitations on impedance inversion of band-limited reflection data
Limitations on impedance inversion of band-limited reflection data
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DOI：
10.1190/1.1444791
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发表时间：
2000-05
期刊：
影响因子：
3.3
通讯作者：
S. Ghosh
中科院分区：
文献类型：
--
作者：
S. Ghosh
地震近似阻抗测井通常是地震数据处理步骤序列中的最终输出。原则上，真实的声阻抗可以通过全带脉冲响应的反演获得。由于地震数据必然是频带有限的，因此其反演显然会产生近似的阻抗测井。所解决的问题是真实的日志和重建的日志如何相关，以及如何在没有相同结果的现有推导中所需的假设的情况下推导两者之间的数学关系。这些推论还包括单个地震频率在阻抗重建中的贡献，特别是直流（dc）频率贡献的简单公式，该公式从未被记录，但需要补充反演。推导了与任何给定频段对应的重构阻抗的解析表达式，适用于两种情况：简单的不连续性和夹在两个相似的...
A seismic approximate impedance log is often the ultimate output in the sequence of seismic data‐processing steps. In principle, the true acoustic impedance is obtainable from the inversion of full‐band impulse response. Because the seismic data necessarily is band limited, its inversion obviously would produce an approximate impedance log. A question addressed is how the true and reconstructed logs are related and a mathematical relationship between the two is derived without the assumptions required in an existing derivation of the same result. The deductions also include the contribution of an individual seismic frequency in the reconstruction of the impedance and, in particular, a simple formula for the contribution of direct‐current (dc) frequency, which never is recorded but is required to supplement the inversion. Analytical expressions are derived for the reconstructed impedance corresponding to any given frequency band for two cases: a simple discontinuity and a bed sandwiched between two similar...