Applicability of wave‐equation‐based multiple attenuation

1990 ◽  
Author(s):  
Wendel Wiggins ◽  
Eric Vestal
Keyword(s):  
Wave Equation ◽  
Multiple Attenuation

3D multiple attenuation of OBC converted‐wave data using wave‐equation multiple modeling

2010 ◽  
Author(s):  
Andrew Dawson ◽  
Joffrey Brunellière ◽  
Peter Allan ◽  
Mark Ibram
Keyword(s):  
Wave Equation ◽  
Converted Wave ◽  
Wave Data ◽  
Multiple Attenuation

Reducing Spatial Aliasing in Wave-Equation Multiple Attenuation

2002 ◽  
Author(s):  
Jianwu Jiao ◽  
Pierre Leger ◽  
John Stevens
Keyword(s):  
Wave Equation ◽  
Spatial Aliasing ◽  
Multiple Attenuation

Enhancements to wave‐equation multiple attenuation

2002 ◽  
Author(s):  
Jianwu Jiao ◽  
Pierre Leger ◽  
John Stevens
Keyword(s):  
Wave Equation ◽  
Multiple Attenuation

Wave‐equation extrapolation‐based multiple attenuation: 2-D filtering in the f-k domain

Geophysics ◽  
1994 ◽  
Vol 59 (9) ◽  
pp. 1377-1391 ◽  
Author(s):  
Binzhong Zhou ◽  
Stewart A. Greenhalgh
Keyword(s):  
Wave Equation ◽  
Prior Information ◽  
Original Data ◽  
Conventional Technique ◽  
Nonlinear Filter ◽  
Extrapolation Method ◽  
Multiple Model ◽  
Numerical Examples ◽  
Multiple Attenuation

A new nonlinear filter for wave‐equation extrapolation‐based multiple suppression is designed in the f-k domain. The realization of the new filter in the f-k domain is an extension of the conventional f-k dip filter. However, the new demultiple filter is superior to the conventional f-k dip filter in the sense that the multiple reject zones are determined automatically (based on the information of the input original data and the multiple model traces obtained by the wave‐extrapolation method) rather than by prior information on multiple moveout (dip) range. Therefore, it can easily cope with situations such as aliasing and the mixture of energy from multiples and primaries in the same quadrant. The new filter is smooth on the boundary of the reject area. Numerical examples demonstrate that the new filter is equivalent to the conventional f-k dip filter in multiple suppression for simple situations. However, when the multiples and primaries are mixed in the same quadrant and have only slight difference in dip, the new filter offers significant advantages over the conventional technique.

On two approaches to wave equation based multiple attenuation

1996 ◽  
Author(s):  
M. K. Sen ◽  
P. L. Stoffa ◽  
J. T. Fokkema ◽  
C. Calderon
Keyword(s):  
Wave Equation ◽  
Multiple Attenuation

Extended F-Expansion Method for Solving the modified Korteweg-de Vries (mKdV) Equation

2020 ◽  
Vol 11 (1) ◽  
pp. 93-100
Author(s):  
Vina Apriliani ◽  
Ikhsan Maulidi ◽  
Budi Azhari
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Internal Waves ◽  
Water Waves ◽  
Wave Equations ◽  
Elliptic Functions ◽  
Expansion Method ◽  
Mkdv Equation ◽  
Innovative Methods ◽  
De Vries

One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the modified Korteweg-de Vries (mKdV) equation. Many methods can be used to construct the solution of the mKdV wave equation, one of which is the extended F-expansion method. The purpose of this study is to determine the solution of the mKdV wave equation using the extended F-expansion method. The result of solving the mKdV wave equation is the exact solutions. The exact solutions of the mKdV wave equation are expressed in the Jacobi elliptic functions, trigonometric functions, and hyperbolic functions. From this research, it is expected to be able to add insight and knowledge about the implementation of the innovative methods for solving wave equations. 

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