scholarly journals Seismic migration of blended shot records with surface-related multiple scattering

Geophysics ◽  
2011 ◽  
Vol 76 (1) ◽  
pp. A7-A13 ◽  
Author(s):  
D. J. (Eric) Verschuur ◽  
A. J. (Guus) Berkhout
Keyword(s):  
Multiple Scattering ◽  
Input Data ◽  
Green's Functions ◽  
Green’S Functions ◽  
Migration Process ◽  
Seismic Migration ◽  
Seismic Image ◽  
Blended Data

This paper focuses on the concept of using blended data and multiple scattering directly in the migration process, meaning that the blended input data for the proposed migration algorithm includes blended surface-related multiples. It also means that both primary and multiple scattering contribute to the seismic image of the subsurface. Essential in our approach is that multiples are not included in the Green’s functions but are part of the incident wavefields, utilizing the so-called double illumination property. We find that complex incident wavefields, such as blended primaries and/or blended multiples, require a reformulation of the imaging principle in order to provide broadband angle-dependent reflection properties.

WEIGHTING FACTORS IN THE CONSTRUCTION AND RECONSTRUCTION OF ACOUSTICAL WAVE FIELDS

Geophysics ◽  
1977 ◽  
Vol 42 (6) ◽  
pp. 1183-1198 ◽  
Author(s):  
Milos J. Kuhn ◽  
Khalid A. Alhilali
Keyword(s):  
Free Space ◽  
Green's Functions ◽  
Green’S Functions ◽  
Diffraction Theory ◽  
Weighting Factor ◽  
Total Response ◽  
Wave Fields ◽  
Seismic Migration ◽  
Weighting Factors ◽  
The Fourier Transform

The numerical solution of the Helmholtz equation is examined for a separated source and receiver over a model having a single planar interface. Expressions describing the construction and reconstruction of acoustical wave fields are derived in terms of Green’s functions. Their relation to the Fourier transform is briefly discussed. Three simple Green’s functions—free space, free surface, and rigid surface—are used to test the relative accuracy of the respective weighting factors by comparing the numerically calculated field for a simple model to a field obtained analytically by application of rigorous diffraction theory. The main purpose of this paper is to study the behavior of the total response (amplitude and phase) for models in which the aperture is not sufficiently sampled (e.g., close to half the wavelength). The degree of distortion in the response due to spatial undersampling is unacceptable for all three Green’s functions. A modified weighting factor relative to the free‐space Green’s function is introduced, which effectively reduces the degree of distortion in the total response under the same sampling condition. The importance of this finding to exploration geophysics in the construction of the synthetic seismograms by application of the Huygen’s principle and in seismic migration will be demonstrated.

scholarly journals Green's functions in full-potential multiple-scattering theory

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
A. Rusanu ◽  
G. M. Stocks ◽  
Y. Wang ◽  
J. S. Faulkner
Keyword(s):  
Multiple Scattering ◽  
Scattering Theory ◽  
Green's Functions ◽  
Green’S Functions ◽  
Full Potential ◽  
Multiple Scattering Theory
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