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Contents & Abstracts Journal of Seismic Exploration



CONTENTS Volume 17, Number 4, September 2008
F. Deng and G.A. McMechan
3D true-amplitude prestack depth migration
D.J. Verschuur
Tracking of seismic events using a combined global and local optimizing strategy
S. Keydar and M. Mikenberg
A new time correction formula in 3D media as a function of wavefront attributes
J. Yan, R. Lubbe and N. Pillar
Modified velocity model for seismic study via AVO


ABSTRACTS Vol. 17, No. 4, September 2008
Deng, F. and McMechan, G.A., 2008. 3D true-amplitude prestack depth migration.

The angle-dependent reflectivity of a reservoir target is crucial input for reservoir characterization. 3D prestack depth migration should be able to produce not only an accurate structural image, but also reliable angle-dependent amplitude information. However, none of the currently available 3D migration algorithms satisfy this requirement. Geometrical spreading is the only consideration in most existing true-amplitude migrations; intrinsic attenuation, and transmission losses also distort the wavefield amplitudes during propagation through the earth. We develop an integrated algorithm that compensates all three of these factors, in a two-pass recursive reverse-time 3D prestack depth migration.

Applications to 3D synthetic models demonstrate production of both high quality subsurface images and angle-dependent (prestack) reflection coefficients at the target. The velocity ratio at the target is also obtained by least square fitting over the estimated angle-dependent reflection coefficients. Because of the nature of reverse-time migration and the recursive procedure, the 3D algorithm is computationally and memory intensive. However, for application to real seismic data, 3D true amplitude processing is necessary.
Verschuur, D.J., 2008. Tracking of seismic events using a combined global and local optimization strategy.

Some seismic processing algorithms require a smooth and continuous track of a seismic event in a multi-dimensional domain. Often tracking algorithms are based on trace-to-trace correlations and have a local search character. They show a discontinuous behavior, are sensitive to cycle-skipping and cannot bridge bad data zones. Therefore, it is proposed to design a multi-dimensional tracking algorithm that is based on a global solution that can avoid local minima and can be optimally guided by the user. To keep the algorithm efficient, a hybrid optimization strategy is developed, in which a global optimization method - being a genetic algorithm - is combined with a local optimization method - the simplex algorithm. Both 2D and 3D tracking algorithms are described based on spline functions, where the knots of the splines represent the variables of the optimization algorithm. Results on field data show the effectiveness of the tracking procedure for various tracking problems.
Keydar, S. and Mikenberg, M., 2008. A new time correction formula in three-dimensional media as a function of wavefront attributes.

A new travel-time correction formula for three-dimensional media expresses move-out as a function of wavefront attributes, such as radii of curvatures of wavefronts and angles of incidence. The formula is a travel-time approximation based on a Taylor series expansion, and is obtained by using only the eikonal equation and basic principles of differential geometry. For a given source-receiver pair, the move-out equations express the move-out correction with respect to a zero-offset trace by five parameters measured at the point where zero-offset trace starts (common shot point, CSP). The parameters are: the two principal radii of curvature of the wavefront, the angle defining the orientation of the principal axes, the emergence angle and azimuth. If, in addition, one of the principal planes of the wavefront (planes normal to the wavefront and containing principle radii of the curvature) is normal to the acquisition surface as well, the number of parameters is reduced to four. Four examples with different three-dimensional wavefronts confirm the accuracy and establish the range of validity of the travel-time approximation.
Yan, J., Lubbe, R. and Pillar, N., 2008. Modified velocity model for seismic study via AVO.

AVO analysis in rock physics links petrophysical and geophysical data, it requires knowledge of the relationships of P and S-wave velocities, volume of shale, bulk density, mineral and fluid properties and relevant reservoir parameters (such as porosity, water saturation etc). We designed a semi-empirical-theoretical model to predict velocities based on well-log data which can then be linked to the seismic velocities via an AVO modelling. This method is based on the differential effective medium (DEM) scheme and the properties of randomly distributed sand grains, shale content, varying aspect ratios and related rock parameters. The model could be regarded as an extension of the Xu-White (1995) model. Tests using this model on field data from the North Sea show good agreements between the predicted and measured velocities and a satisfied AVO result can be achieved.





 

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