On the Existence of Uller's Waves*

1951 ◽  
Vol 41 (4) ◽  
pp. 307-311
Author(s):  
Charles B. Officer
Keyword(s):  
Wave Propagation ◽  
General Theory ◽  
Seismic Data ◽  
Physical Foundation

Abstract A re귡mination of a general theory of wave propagation proposed by Uller is carried out. The conclusion is reached that his hypothesis has not been placed on a firm physical foundation and cannot be considered valid in interpreting seismic data.

Full Wavefield Redatuming: Accurate Velocity Modelling for Imaging Beneath Complex Overburden

2021 ◽  
Author(s):  
Farah Syazana Dzulkefli ◽  
Kefeng Xin ◽  
Ahmad Riza Ghazali ◽  
Guo Qiang ◽  
Tariq Alkhalifah
Keyword(s):  
Wave Propagation ◽  
Seismic Data ◽  
Model Building ◽  
Velocity Model ◽  
Surrounding Rock ◽  
Target Area ◽  
Low Density ◽  
Velocity Model Building ◽  
Seismic Image ◽  
Seismic Wavefield

Abstract Salt is known for having a generally low density and higher velocity compared with the surrounding rock layers which causes the energy to scatter once the seismic wavefield hits the salt body and relatively less energy is transmitted through the salt to the deeper subsurface. As a result, most of imaging approaches are unable to image the base of the salt and the reservoir below the salt. Even the velocity model building such as FWI often fails to illuminate the deeper parts of salt area. In this paper, we show that Full Wavefield Redatuming (FWR) is used to retrieved and enhance the seismic data below the salt area, leading to a better seismic image quality and allowing us to focus on updating the velocity in target area below the salt. However, this redatuming approach requires a good overburden velocity model to retrieved good redatumed data. Thus, by using synthetic SEAM model, our objective is to study on the accuracy of the overburden velocity model required for imaging beneath complex overburden. The results show that the kinematic components of wave propagation are preserved through redatuming even with heavily smoothed overburden velocity model.

Predictive removal of scattered noise

Geophysics ◽  
2006 ◽  
Vol 71 (2) ◽  
pp. V41-V49 ◽  
Author(s):  
Gérard C. Herman ◽  
Colin Perkins
Keyword(s):  
Mathematical Model ◽  
Wave Propagation ◽  
Surface Wave ◽  
Seismic Data ◽  
Coherent Noise ◽  
Data Set ◽  
Near Surface ◽  
Unique Data ◽  
Surface Wave Propagation ◽  
Petroleum Development

Land seismic data can be severely contaminated with coherent noise. We discuss a deterministic technique to predict and remove scattered coherent noise from land seismic data based on a mathematical model of near-surface wave propagation. We test the method on a unique data set recorded by Petroleum Development of Oman in the Qarn Alam area (with shots and receivers on the same grid), and we conclude that it effectively reduces scattered noise without smearing reflection energy.

Interaction between P, S1 and S2 waves in multilayered periodic monoclinic media at low frequencies

2019 ◽  
Vol 220 (3) ◽  
pp. 1947-1955
Author(s):  
Alexey Stovas ◽  
Yuriy Roganov ◽  
Vyacheslav Roganov
Keyword(s):  
Wave Propagation ◽  
Seismic Data ◽  
Layered Medium ◽  
Anisotropic Media ◽  
Pass Band ◽  
Low Frequencies ◽  
Propagator Method ◽  
The Matrix ◽  
Floquet Theorem ◽  
Insight Into

SUMMARY Application of the Floquet theorem and the matrix propagator method reduces the problem of the plane wave propagation in a periodically layered anisotropic media, to analysis of the properties of stationary envelopes of different wave modes propagating up- and downwards. We analyse the interchanging of stop- and pass-bands and their structure at low frequencies for a periodically layered medium with monoclinic symmetry. The analysis shows the effect of interaction between P,S1 and S2 wave multipliers for stop- and pass-band structure and gives insight into the wave propagation in vertically heterogeneous anisotropic media which is important in modelling and interpretation of seismic data.

scholarly journals Shallow structure of the Chalco and Xochimilco sub-basins (southern Mexico basin) based on wave propagation modelling and seismic data

2020 ◽  
Vol 103 ◽  
pp. 102722
Author(s):  
Ernesto González-Flores ◽  
José Oscar Campos-Enríquez ◽  
Raúl Valenzuela Wong ◽  
Carlos Torres-Verdín ◽  
David Ernesto Rivera-Recillas ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Seismic Data ◽  
Southern Mexico ◽  
Shallow Structure ◽  
Propagation Modelling ◽  
Mexico Basin

scholarly journals Experiments on the duration of impacts, mainly of bars with rounded ends, in elucidation of the elastic theory

1924 ◽  
Vol 105 (733) ◽  
pp. 544-570 ◽  
Keyword(s):  
Wave Propagation ◽  
General Theory ◽  
Relative Motion ◽  
Small Area ◽  
Elastic Theory ◽  
Theoretical Discussion ◽  
Hertz Theory ◽  
Dissipation Of Energy ◽  
The Creation ◽  
Two Bodies

The general theory of impact enunciated by Newton divides bodies into two classes, "perfectly elastic" and "imperfectly elastic." In the former class, no sensible dissipation of energy occurs during impact, while in the latter a certain proportion of the energy of the relative motion is always dissipated ultimately into heat. Many actual bodies are not far from being perfectly elastic in the Newtonian sense. For the theoretical discussion of the problem, we have at our disposal two distinct mathematical theories applicable mainly under different conditions, due to Hertz and St. Venant. The Hertz theory, which regards impact as a statical effect, rests on the foundation that when two bodies are pressed steadily together, they come into contact over a small area and that intense stress is developed in the bodies locally around it, rapidly falling off at a distance. The creation of a state of strain is accomplished by wave propagation, but each stage of the compression is so slow that infinitesimal waves have time to adjust it locally without drawing away any sensible fraction of the energy.

Controlling amplitudes in 2.5D common‐shot migration to zero offset

Geophysics ◽  
2004 ◽  
Vol 69 (5) ◽  
pp. 1299-1310 ◽  
Author(s):  
Jörg Schleicher ◽  
Claudio Bagaini
Keyword(s):  
Wave Propagation ◽  
Weight Function ◽  
Seismic Data ◽  
Constant Velocity ◽  
A Priori ◽  
Weight Functions ◽  
A Priori Knowledge ◽  
Geometrical Spreading ◽  
Spreading Factor ◽  
Zero Offset

Configuration transform operations such as dip moveout, migration to zero offset, and shot and offset continuation use seismic data recorded with a certain measurement configuration to simulate data as if recorded with other configurations. Common‐shot migration to zero offset (CS‐MZO), analyzed in this paper, transforms a common‐shot section into a zero‐offset section. It can be realized as a Kirchhoff‐type stacking operation for 3D wave propagation in a 2D laterally inhomogeneous medium. By application of suitable weight functions, amplitudes of the data are either preserved or transformed by replacing the geometrical‐spreading factor of the input reflections by the correct one of the output zero‐offset reflections. The necessary weight function can be computed via 2D dynamic ray tracing in a given macrovelocity model without any a priori knowledge regarding the dip or curvature of the reflectors. We derive the general expression of the weight function in the general 2.5D situation and specify its form for the particular case of constant velocity. A numerical example validates this expression and highlights the differences between amplitude preserving and true‐amplitude CS‐MZO.

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