The ratio apparent resistivity definition of rectangular-loop TEM

2014 ◽  
Vol 103 ◽  
pp. 152-160 ◽  
Author(s):  
NanNan Zhou ◽  
GuoQiang Xue
Geophysics ◽  
2014 ◽  
Vol 79 (2) ◽  
pp. W1-W10 ◽  
Author(s):  
Enrique Gómez-Treviño ◽  
Francisco J. Esparza

Ever since the first computation of resistivity sounding curves, there has been the impression that somehow they are averages of the vertical resistivity profile. This prompted the idea to represent apparent resistivity as an integral over depth and to define depth of investigation using the integrands of the integrals as elementary contributions. However, elementary contributions for a boundary value problem cannot be uniquely defined and are not physically meaningful. Many practical applications that have been derived from this approach might be at stake regarding their theoretical basis. On the other hand, a sensitivity function has a definite physical meaning and it is uniquely defined, but it offers a different picture for a layered earth. The concept of elementary contributions must then be abandoned as not real, as some respected scholars have suggested, or it must be put on solid ground if we are going to continue using it. Our claim is that any definition of elementary contributions must comply with the concept of sensitivity; otherwise, it must be discarded not because it might be proved wrong, but because we cannot have multiple functions pretending to represent the depth of investigation of a resistivity measurement. We determined that both concepts can be unified and reconciled into a single formulation. That is, one and the same function of depth can be interpreted as an elementary contribution or as the local sensitivity. To further support the effectiveness of the concept, we applied it beyond its traditional application to homogeneous media. We developed an approximate formula for computing apparent resistivity as a weighted average of the vertical resistivity profile. The formula works in the way of a toy model; it is an approximation, but it provides immediate insights into how a vertical resistivity profile relates to its sounding curve.


2014 ◽  
Vol 962-965 ◽  
pp. 189-192
Author(s):  
Bao Sheng Huang ◽  
Guo Xiang Yan

Different apparent resistivity exists many different characteristics, such as in terms of the speed of tending to real resistivity, the strength of oscillation sexual and the resolution. Aimed at the problem of how to select apparent resistivity in magnetotelluric (MT), this paper compares and analyzes the characteristics of different apparent resistivity in reflecting underground electrical structure by theoretical calculation formula and model calculation, and then summarizes the advantage and disadvantage of different apparent resistivity. The calculation results of several typical geoelectric models show that Basukur apparent resistivity is the best definition method of apparent resistivity, followed in turn, from good to bad, is the apparent resistivity defined by the real part of impedance, discount apparent resistivity, Cagniard apparent resistivity and the apparent resistivity defined by the impedance square module and the apparent resistivity defined by the imaginary part of impedance square, and the apparent resistivity defined by the imaginary part of impedance is the worst. this conclusions provide the judgment basis for practical application.


Geophysics ◽  
1997 ◽  
Vol 62 (1) ◽  
pp. 56-62 ◽  
Author(s):  
Umesh C. Das

A recent definition of controlled‐source electromagnetic apparent resistivity has been adopted, and it is shown that this definition is unique. It produces a single apparent resistivity value by transforming any of the given combinations of the mutual coupling ratios measured by five different source‐receiver configurations, namely, horizontal coplanar loops (HCP), vertical coplanar loops (VCP), vertical coaxial loops (VCA), electric dipole source and horizontal receiver loop (EDL), and central loop (in‐loop) configurations. Synthetic field data for the commercially available MaxMin system, which can be operated with HCP, VCP, and VCA configurations, are fabricated and they are transformed to apparent resistivities. An analysis of apparent resistivity curves so obtained reveals the requirements of the ranges of frequencies and transmitter‐receiver separations needed for given exploration depth. A concise analysis of the effect of the random noise errors in the MaxMin data on stability of apparent resistivity is carried out. From this analysis, it is expected that apparent resistivities from field measurements will be stable, even when the measurements are corrupted with random noises.


2020 ◽  
Author(s):  
Veronica Pazzi ◽  
Lorenzo Ciani ◽  
Luca Cappuccini ◽  
Mattia Ceccatelli ◽  
Gabriele Patrizi ◽  
...  

<p>During the 7th century BC, Vetulonia (Tuscany, Italy) was one of the most important cities in northern Etruria and its powerful princes commissioned monumental tumuli that reached more then 90 metres in diameter, among the largest in the ancient world. Between the end of 1800 and the beginning of 1900, many of these funeral mounds have been investigated. The one of Poggio Pepe (eastern side of the Vetulonia hill) has never been thoroughly investigated. Therefore, the internal structure is still unknown and, given the absence of a depression at the top of the mound, the inside of the chamber could be still well preserved, with the roof intact.</p><p>A joint project among three different departments of the University of Florence, lead to a new investigation campaign on this tumulus. Four radial 2D- electrical resistivity tomography (ERT) were carried out. The main aims were to verify the structures conservation state and to identify the ancient tomb access. The roof conservation status is of great importance for the excavation strategy: if research will ascertain that the roof is still preserved, the excavation of the funeral chamber will start from the corridor and appropriate works will have to be planned to support the central cover. On the contrary, excavation will begin from the top of the mound. Moreover, since the exploration of tumuli is a challenging geophysical problem, other goal was to evaluate the influence, on the acquired 2D-ERT data, of the error in collecting electrode coordinates (GPS error). It is well known that the final results resolution and accuracy depend on the spatial distribution of the acquisition points on the ground surface. The precision in locating these points plays a key role, too. Nevertheless, it is hard to find in literature papers that discuss the influence on the final results of the errors in locating acquisition points.</p><p>The geophysical surveys identified remains of the wall that originally surrounded the great tumulus, and intercepted radial surface structures that have been interpreted as the highest part of the sidewalls of the tomb access corridor. Moreover, an anomaly that could represents the walls of the funeral chamber (3 m - 4 m per side) was recognized. Further development of the investigation and data analysis will allow a greater definition of the internal structures and particular attention will be given to the state of the tomb roof.</p><p>The results of the preliminary analysis of the influence of GPS error on the apparent resistivity data suggest that, in case of consistent GPS uncertainty, caused by physical and atmospheric conditions, the shallow apparent resistivity is strongly influenced by a wrong deployment of electrodes. Therefore, in case of archaeological application, where the investigation depth is limited to the first meters below the ground surface, the measurement campaign should be rescheduled in a different period, when different conditions will occur. This leads to an improvement of ERT data quality and, consequently, to a better accuracy in the localization of the archaeological target, with a minimization of the excavation cost.</p>


1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.


1975 ◽  
Vol 26 ◽  
pp. 21-26

An ideal definition of a reference coordinate system should meet the following general requirements:1. It should be as conceptually simple as possible, so its philosophy is well understood by the users.2. It should imply as few physical assumptions as possible. Wherever they are necessary, such assumptions should be of a very general character and, in particular, they should not be dependent upon astronomical and geophysical detailed theories.3. It should suggest a materialization that is dynamically stable and is accessible to observations with the required accuracy.


1979 ◽  
Vol 46 ◽  
pp. 125-149 ◽  
Author(s):  
David A. Allen

No paper of this nature should begin without a definition of symbiotic stars. It was Paul Merrill who, borrowing on his botanical background, coined the termsymbioticto describe apparently single stellar systems which combine the TiO absorption of M giants (temperature regime ≲ 3500 K) with He II emission (temperature regime ≳ 100,000 K). He and Milton Humason had in 1932 first drawn attention to three such stars: AX Per, CI Cyg and RW Hya. At the conclusion of the Mount Wilson Ha emission survey nearly a dozen had been identified, and Z And had become their type star. The numbers slowly grew, as much because the definition widened to include lower-excitation specimens as because new examples of the original type were found. In 1970 Wackerling listed 30; this was the last compendium of symbiotic stars published.


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