Developing and Analyzing Green's Theorem Methods to Satisfy Prerequisites of Inverse Scattering Series Multiple Attenuation for Different Types of Marine Acquisition: Towards Extending Prerequisite Satisfaction Methods for On-Shore Exploration

Date

2014-08

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Abstract

Inverse Scattering Series (ISS) algorithm can directly achieve the objectives of seismic processing without requiring any subsurface information. For achieving the potential capabilities of ISS algorithm, there are prerequisites that need to be satisfied. These prerequisites (including separating the reference wave from the reflected data, estimation of the source wavelet, and deghosting) can be satisfied by using Green's-theorem methods. This dissertation provides three contributions in satisfying the prerequisites for Inverse Scattering Series (ISS) multiple removal algorithm.

Chapter 2 examines the impact of a specific seismic-acquisition design (over/under cables) on the wave-separation methods. When the depth difference between the two cables is smaller, the wave-separation results are more accurate and have less errors. In the (x, ω) domain, Green's theorem requires the prediction point to be chosen away from the measurement cable, but it can accommodate a non-at cable (e.g., at ocean bottom). Green's theorem in the (k, ω) domain can predict the separated wavefields on the cable. However, it requires a flat cable to perform Fourier transform over the measurement surface.

Chapter 3 presents a method for determining the correct reference velocities. The criteria for finding the correct reference velocities could be the invariances of source wavelet at different output points below the cable for the point source data, or the invariances along one radiation angle for the source array data.

The third project investigates and compares three different wavelet estimation methods, including: (1) the Wiener filter method, (2) the spectral division method, and (3) the Green's-theorem method. Comparing with the other two methods, the Green's-theorem method demonstrates strength when the data contains random noise, since it utilizes an integral along the measurement surface, which tends to reduce random noise.

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Keywords

Inverse scattering series, Green's theorem, Acquisition design, Wavelet estimation, Reference medium properties

Citation

Portions of this document appear in: Tang, Lin, James D. Mayhan, Jinlong Yang, and Arthur B. Weglein. "Using Green's theorem to satisfy data requirements of multiple removal methods: The impact of acquisition design." In SEG Technical Program Expanded Abstracts 2013, pp. 4392-4396. Society of Exploration Geophysicists, 2013. And in: AMUNDSEN, LASSE. "A NEW GREEN’S THEOREM DEGHOSTING METHOD THAT SIMULTANEOUSLY:(1) AVOIDS A FINITE-DIFFERENCE APPROXIMATION FOR THE NORMAL DERIVATIVE OF." JOURNAL OF SEISMIC EXPLORATION 22 (2013): 413-426. And in: Weglein, Arthur B., Fang Liu, Xu Li, Paolo Terenghi, Ed Kragh, James D. Mayhan, Zhiqiang Wang et al. "First field data examples of inverse scattering series direct depth imaging without the velocity model." In SEG Technical Program Expanded Abstracts 2012, pp. 1-6. Society of Exploration Geophysicists, 2012. And in: MAYHAN, ZHIQIANG WANG, JOACHIM MISPEL, LASSE AMUNDSEN, and LIANG HONG. "Inverse scattering series direct depth imaging without the velocity model: First field data examples." Journal of Seismic Exploration 21 (2012): 1-28. And in: Weglein, A. B., Mayhan, J. D.,Amundsen, L., Liang, H., Wu, J.,Tang,L., Luo, Y., and Fu, Q. 2013. Greens theorem de-ghosting algorithms in k (e.g., de-ghosting) as a special case of x, algorithms (based on greens theorem)with: (1) significant practical advantages and disadvantages of algorithms in each domain, and (2) a new message, implication and opportunity for marine towed streamer, ocean bottom and on-shore acquisition and applications.Journal of Seismic Exploration 22, 289412. And in: Yang, Jinlong, James D. Mayhan, Lin Tang, and Arthur B. Weglein. "Accommodating the source (and receiver) array in free-surface multiple elimination algorithm: Impact on interfering or proximal primaries and multiples." In SEG Technical Program Expanded Abstracts 2013, pp. 4184-4189. Society of Exploration Geophysicists, 2013.