An Inverse Source Problem for the Elastic Wave in the Lower Half-Space

2015 ◽  
Vol 75 (4) ◽  
pp. 1599-1619 ◽  
Author(s):  
Justin Tittelfitz
Keyword(s):  
Elastic Wave ◽  
Half Space ◽  
Lower Half ◽  
Inverse Source Problem ◽  
Lower Half Space

Estimating the parameters of simple models from two-component on-time airborne electromagnetic data

Geophysics ◽  
2021 ◽  
pp. 1-52
Author(s):  
Thomas Bagley ◽  
Richard S. Smith
Keyword(s):  
Half Space ◽  
Thin Sheet ◽  
Lower Half ◽  
Thick Sheet ◽  
Thin Sheets ◽  
Survey Area ◽  
Lower Half Space ◽  
Drill Holes ◽  
Airborne Electromagnetic Data ◽  
Simple Models

The horizontal and vertical components of the on-time electromagnetic (EM) response can be used to estimate the parameters of simple models like thin sheets, half-spaces, thin sheets over a lower half-space and a two-layer model. The formulae used in these methods are valid in areas where the on-time response is essentially proportional to the conductivity or conductance, the so called "resistive limit". The half-space and thin-sheet over a lower half-space models can be combined to give an estimate of the conductivity for a lower half-space below a thick sheet that might be reasonable for the whole of the survey area. With this estimation an equation solver can be used to estimate the thickness and conductivity of the overlying thick sheet over the whole survey area. This latter approach seemed most appropriate for the Russell South area in the Athabasca Basin, Canada, where GEOTEM data has been collected. The output of the algorithm was generally stable. Although it did not always reliably reproduce the overburden thicknesses as measured in a set of reference drill holes, it did give an estimate that was reasonable in the relatively conductive areas.

Reply by the author to W. K. McClary

Geophysics ◽  
1985 ◽  
Vol 50 (8) ◽  
pp. 1357-1357
Author(s):  
Sven Treitel
Keyword(s):  
Half Space ◽  
Output Signal ◽  
Lower Half ◽  
Lower Half Space

We are pleased to see Mr. McClary shed more light on the concept of a generalized primary. To construct the generalized primary of the nth interface as a transmitted output signal in the upper half‐space for the input wavelet −X in the lower half‐space not only indicates that this can be done, but that the construction is appealing and that it clarifies the entire concept.

scholarly journals ANALYTICAL CONTINUATION OF POTENTIAL FIELDS ON THE BASIS OF F-APPROXIMATIONS

2015 ◽  
Author(s):  
И.А. Керимов
Keyword(s):  
Half Space ◽  
Analytical Continuation ◽  
Lower Half ◽  
Potential Fields ◽  
Lower Half Space ◽  
Computer Technologies

В статье рассмотрен метод аналитического продолжения потенциальных полей на основе F-аппроксимации. Разработанный автором метод позволяет выполнять аналитическое продолжение поля в верхнее и нижнее полупространство. Компьютерные технологии позволяют выполнять трансформации для данных заданных как для регулярной, так и для нерегулярной сети. Метод апробирован на модельных и фактических гравиметрических данных The method of analytical continuation of potential fields on the basis of F-approximation is considered in the article. The method developed by the author allows carrying out analytical continuation of field to the upper and the lower half-space. Computer technologies allow making transformations for data prescribed both for regular and for irregular network. The method is tested on model and actual gravimetric dat

scholarly journals A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation

1990 ◽  
Vol 13 (3) ◽  
pp. 567-578 ◽  
Author(s):  
S. K. Roy-Choudhuri ◽  
Gargi Chatterjee
Keyword(s):  
Relaxation Time ◽  
Elastic Wave ◽  
Thermal Shock ◽  
Half Space ◽  
Thermal Relaxation ◽  
Analytical Form ◽  
Elastic Half Space ◽  
Elastic Problem ◽  
Strain Fields ◽  
Thermal Fields

In the present paper we consider the magneto-thermo-elastic wave produced by a thermal shock in a perfectly conducting elastic half-space. Here the Lord-Shulman theory of thermoelasticity [1] is used to account for the interaction between the elastic and thermal fields. The solution obtained in analytical form reduces to those of Kaliski and Nowacki [2] when the coupling between the temperature and strain fields and the relaxation time are neglected. The results also agree with those of Massalas and DaLamangas [3] in absence of the thermal relaxation time.

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