【直播】【中国海洋大学】美国休斯敦大学Leon Thomsen院士 学术报告
活动名称：
A Logical Error in Gassmann Poroelasticity
活动时间：
2022年9月7日（周三）9:00
报告嘉宾：
Prof. Leon Thomsen（美国休斯敦大学）
主办单位：
中国海洋大学
直播通道
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报告人介绍
Prof. Leon Thomsen
美国休斯敦大学
Prof. Leon Thomsen，美国国家工程院院士，Delta地球物理公司首席科学家，美国休斯敦大学研究教授。曾任国际勘探地球物理学家学会 (SEG) 副主席和主席，获SEG的Maurice Ewing Medal和Fessenden Award。在地球物理领域取得了一系列原创性的研究成果，尤其在上世纪80年代提出了弱各向异性的概念和各向异性参数，被学术界和工业界广为采用，极大推进了地球物理在地下介质各向异性的研究。
报告简介
The well-known "Biot-Gassmann" formula for the undrained compressibility of porous rock is in error. The error was introduced by Gassmann (implicitly revising earlier work by Biot), and results in an expression which is simpler than Biot's corresponding expression, containing only one material parameter (KS) in place of Biot's two (H and R). The error occurred when Gassmann applied a hydraulically-open theorem to a hydraulically-closed system, thus violating the assumptions of the undrained compressibility. Similar errors have marred the many subsequent derivations of Gassmann’s result. Biot's (prior) correct formulation was subsequently rederived exactly (in different notation) by Brown and Korringa, and separately by Rice and Cleary. The inconsistency between Gassmann and these three analyses is caused by Gassmann's logical error, rather than by the issue of solid micro-homogeneity. The additional parameter resolves a long-established inconsistency between Gassmann's result and effective medium theory. It may be experimentally determined via the "Skempton Bcoefficient" (the ratio of fluid pressure to external pressure in an undrained quasi-static compression test). The correct difference (undrained minus frame incompressibility) is always less than that given by Gassmann. A new generation of experimentation is required to determine the systematics of the magnitude of the correction to the Gassmann result.
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