Accurate interpolation with high‐resolution time‐variant Radon transforms

Author:

Trad Daniel O.1,Ulrych Tadeusz J.1,Sacchi Mauricio D.2

Affiliation:

1. University of British Columbia, Department of Earth and Ocean Sciences, 2219 Main Mall, Vancouver, British Columbia V6T 1Z4, Canada. Emails:

2. University of Alberta, Abadh Bhatia Physics Laboratory, Edmonton, Alberta TGG 2J, Canada.

Abstract

It is well known that a sparse hyperbolic Radon transform (RT) can be used to extend the aperture of aperture limited data, filter noise, and fill gaps. In the same manner, an elliptical RT can achieve similar results when applied to slant stack sections. A problem with these transformations is that they have a time‐variant kernel that results in slow implementation. By defining a model space in terms of an irregularly sampled velocity space to minimize the number of unknowns during the inversion and using sparse matrices, however, the computation time can be kept low enough for practical application. We implement hyperbolic and elliptical time domain RTs by using inversion via weighted conjugate gradient methods with a sparseness constraint. The hyperbolic RT performs accurate interpolation in common‐midpoint (CMP) gathers, while the elliptical RT attenuates sampling artifacts in slant stack sections obtained from CMP gathers with poor sampling and gaps.

Publisher

Society of Exploration Geophysicists

Subject

Geochemistry and Petrology,Geophysics

Reference20 articles.

1. An algorithm for the minimization of mixed l/sub 1/ and l/sub 2/ norms with application to Bayesian estimation

2. Processing Through to Stack in the τ-ρ Domain

3. Haber, E., 1997, Numerical strategies for the solution of inverse problems: Ph.D. thesis, Univ. of British Columbia.

Cited by 266 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3