On the theory of Brutsaert about elastic wave speeds in unsaturated soils

On the theory of Brutsaert about elastic wave speeds in unsaturated soils
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非饱和土中弹性波速的Brutsaert理论

DOI:
10.1016/j.still.2015.10.006
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发表时间:
2016
影响因子:
6.5
通讯作者:
Shin H
Shin H
中科院分区:
农林科学1区
文献类型:
--
作者:
Shin H

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近年来,利用Brutsaert(和Luthin)于1964年提出的部分饱和土壤弹性波速理论模型,研究了弹性波速与土壤含水量之间的关系。有人提出,在部分饱和介质的复合流体体积模量公式中存在“输入错误”,并对其进行了相应的修改。然而,我们认为,这个问题似乎更多的是复合材料体积模量的定义不一致,而不是打字错误:我们无法用其中的公式再现布鲁塞尔特和卢辛报告的一些数值数字。此外,我们指出,原始理论中与饱和无关的泊松比的假设对最近的工作有更大的影响,因为(a)没有实现,(b)没有得到实验证据的支持。我们还评论了在非饱和土壤中有效应力的使用,以及从弹性波速测量中推断含水量的困难,这可能是因为浅层土壤的波速主要是水势而不是含水量。
Recently a theoretical model for elastic wave speeds in partially-saturated soils proposed by Brutsaert (and Luthin) in 1964 has been used to investigate the relationship between the elastic wave speeds and the moisture content in soils. It has been suggested that there was a ‘typing error’ in the formula for the composite fluid bulk modulus of the partially-saturated medium which has been modified accordingly. However we argue that the problem appears to be more of an inconsistency in the definition of the composite bulk modulus than a typing error: we have not been able to reproduce some numerical figures reported by Brutsaert and Luthin with the formulae therein. Moreover we point out that an assumption in the original theory of a saturation-independent Poisson's ratio has bigger implications for the more recent works as result (a) of not being realised and (b) of not being supported by experimental evidence. We comment also on the use of effective stress in unsaturated soils and the difficulty in deducing the moisture content from measurements of elastic wave speeds, due probably to the predominance of water potential rather than water content on the wave speed of shallow soils.
DOI: 10.1061/(asce)1090-0241(2000)126:10(907
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