Sediment sound speed dispersion inferences from broadband reflection coefficient measurements

2017 ◽  
Vol 141 (5) ◽  
pp. 3950-3950
Author(s):  
Charles W. Holland ◽  
Samuel Pinson ◽  
Derek R. Olson
Keyword(s):  
Reflection Coefficient ◽  
Sound Speed

On the imaging of reflectors in the earth

Geophysics ◽  
1987 ◽  
Vol 52 (7) ◽  
pp. 931-942 ◽  
Author(s):  
Norman Bleistein
Keyword(s):  
Reflection Coefficient ◽  
Sound Speed ◽  
Geometrical Optics ◽  
Opening Angle ◽  
Singular Function ◽  
Dirac Delta ◽  
Kirchhoff Migration ◽  
Inversion Operator ◽  
Band Limited ◽  
Reflecting Surface

In this paper, I present a modification of the Beylkin inversion operator. This modification accounts for the band‐limited nature of the data and makes the role of discontinuities in the sound speed more precise. The inversion presented here partially dispenses with the small‐parameter constraint of the Born approximation. This is shown by applying the proposed inversion operator to upward scattered data represented by the Kirchhoff approximation, using the angularly dependent geometrical‐optics reflection coefficient. A fully nonlinear estimate of the jump in sound speed may be extracted from the output of this algorithm interpreted in the context of these Kirchhoff‐approximate data for the forward problem. The inversion of these data involves integration over the source‐receiver surface, the reflecting surface, and frequency. The spatial integrals are computed by the method of stationary phase. The output is asymptotically a scaled singular function of the reflecting surface. The singular function of a surface is a Dirac delta function whose support is on the surface. Thus, knowledge of the singular functions is equivalent to mathematical imaging of the reflector. The scale factor multiplying the singular function is proportional to the geometrical‐optics reflection coefficient. In addition to its dependence on the variations in sound speed, this reflection coefficient depends on an opening angle between rays from a source and receiver pair to the reflector. I show how to determine this unknown angle. With the angle determined, the reflection coefficient contains only the sound speed below the reflector as an unknown, and it can be determined. A recursive application of the inversion formalism is possible. That is, starting from the upper surface, each time a major reflector is imaged, the background sound speed is updated to account for the new information and data are processed deeper into the section until a new major reflector is imaged. Hence, the present inversion formalism lends itself to this type of recursive implementation. The inversion proposed here takes the form of a Kirchhoff migration of filtered data traces, with the space‐domain amplitude and frequency‐domain filter deduced from the inversion theory. Thus, one could view this type of inversion and parameter estimation as a Kirchhoff migration with careful attention to amplitude.

Measurements of sound speed, attenuation, and normal-incidence reflection coefficient in water-saturated glass beads as a function of porosity.

2009 ◽  
Vol 126 (4) ◽  
pp. 2168
Author(s):  
Theodore F. Argo ◽  
Matthew D. Guild ◽  
Preston S. Wilson ◽  
Matthias Schröter ◽  
Charles Radin ◽  
...  
Keyword(s):  
Reflection Coefficient ◽  
Sound Speed ◽  
Normal Incidence ◽  
Glass Beads ◽  
Water Saturated

The method of determining the metrological performance of unit reference standards of reflection coefficient in waveguides at millimeter waves

2020 ◽  
pp. 59-63
Author(s):  
A.S. Bondarenko ◽  
A.S. Borovkov ◽  
I.M. Malay ◽  
V.A. Semyonov
Keyword(s):  
Reflection Coefficient ◽  
Millimeter Waves ◽  
Primary Standard ◽  
Reference Standards ◽  
Measurement Scale ◽  
Current State ◽  
Coefficient Measurement ◽  
Mathematical Equations ◽  
Electrodynamic Modeling ◽  
Metrological Performance

The analysis of the current state of the reflection coefficient measurements in waveguides at millimeter waves is carried out. An approach for solving the problem of reproducing the reflection coefficient measurement scale is proposed. Mathematical equations, which are the basis of the reflection coefficient measurement equation are obtained. The method of determining the metrological performance of reflection coefficient unit’s reference standards is developed. The results of electrodynamic modeling and analytical calculations by the developed method are compared. It is shown that this method can be used for reproducing the reflection coefficient unit in the development of the State primary standard.

REFLECTION COEFFICIENT OF AN ELECTROMAGNETIC WAVE IN CONDUCTIVE MEDIA

2018 ◽  
pp. 100-106
Author(s):  
M. S. Sudakova ◽  
M. L. Vladov ◽  
M. R. Sadurtdinov
Keyword(s):  
Reflection Coefficient ◽  
Ground Penetrating Radar ◽  
Electromagnetic Waves ◽  
Water Contamination ◽  
Survey Design ◽  
Direct And Inverse Problems ◽  
The Difference ◽  
Ground Penetrating ◽  
Ideal Dielectric

Within the ground penetrating radar bandwidth the medium is considered to be an ideal dielectric, which is not always true. Electromagnetic waves reflection coefficient conductivity dependence showed a significant role of the difference in conductivity in reflection strength. It was confirmed by physical modeling. Conductivity of geological media should be taken into account when solving direct and inverse problems, survey design planning, etc. Ground penetrating radar can be used to solve the problem of mapping of halocline or determine water contamination.

Effect of Nada Yoga on Hypertension & Anxiety Level

GIS Business ◽  
2019 ◽  
Vol 14 (6) ◽  
pp. 1-16
Author(s):  
Naveen Kumar ◽  
Kuldeep singh
Keyword(s):  
Sound Speed ◽  
Anxiety Level ◽  
Hatha Yoga ◽  
Significant Difference ◽  
The Subject ◽  
Level Of Significance

In Nada yoga the sound speed of an object vibrates (as well as its size, however infinitesimal) contributes to its particular sound. Different tone and frequencies contains the subject of meditation in Nada Yoga, which also takes into consideration the musical intervals used in music and in the musical recitation of mantras, is brought together with meditation techniques and certain Hatha Yoga practices that are conducive to sonic exploration. Recently a study conducted on anxiety and hypertension level in Raigarh entitled as “The effect of Nada Yoga on Hypertension and anxiety level”.  The outcome of the study shows that Nada Yoga significantly reduces Anxiety as well as Hypertension. Results founds were surprisingly shows a significant difference between the two means, at .01 level of significance. It shows how Nada Yoga can effectively help to reduce anxiety and hypertension as well as many improves in health also.

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