杨修伟^1,2,,
朱培民^3,,,
毛宁波^1,2,
徐志伟^3,4,
肖丹⁵
1. 油气资源与勘探技术教育部重点实验室(长江大学), 武汉 430100
2. 长江大学地球物理与石油资源学院, 武汉 430100
3. 中国地质大学(武汉)地球物理与空间信息学院, 武汉 430074
4. 中国地质科学院地球物理地球化学勘查研究所, 河北廊坊 065000
5. 中国地质大学(武汉)资源学院, 武汉 430074

基金项目: 油气资源与勘探技术教育部重点实验室（长江大学）开放基金资助项目（K2018-18）及中国地质科学院物化探所基本科研业务经费项目（WHS201309）联合资助


详细信息

作者简介: 杨修伟, 男, 1989年生, 长江大学地球物理与石油资源学院任教, 主要从事随机模拟、储层预测、地球物理反演方向的研究.E-mail:yangxw@cug.edu.cn

通讯作者: 朱培民, 男, 教授, 博士生导师, 1963年生, 中国地质大学(武汉)地球物理与空间信息学院, 主要从事地震数据处理、地震反演、层析成像及地震波场模拟方面的研究.E-mail:zhupm@cug.edu.cn

中图分类号: P631

收稿日期:2017-07-27
修回日期:2018-10-15
上线日期:2018-12-05

Random medium modeling based on FFT-MA

YANG XiuWei^1,2,,
ZHU PeiMin^3,,,
MAO NingBo^1,2,
XU ZhiWei^3,4,
XIAO Dan⁵
1. Key Laboratory of Exploration Technologies for Oil and Gas Resources(Yangtze University), Ministry of Education, Wuhan 430100, China
2. College of Geophysics and Petroleum Resources, Yangtze University, Wuhan 430100, China
3. Institute of Geophysics & Geomatics, China University of Geosciences, Wuhan 430074, China
4. Institute of Geophysical and Geochemical Exploration, Chinese Academy of Geological Sciences, Hebei Langfang 065000, China
5. Faculty of Earth Resource, China University of Geosciences, Wuhan 430074, China


More Information

Corresponding author: ZHU PeiMin,E-mail:zhupm@cug.edu.cn

MSC: P631

--> Received Date: 27 July 2017
Revised Date: 15 October 2018
Available Online: 05 December 2018


摘要
摘要:随机介质是描述地球介质小尺度非均匀性的有效模型，在地震散射波场分析、储层描述等领域具有广泛应用，快速准确的随机介质建模方法是开展相关研究的基础与前提.本文首次将FFT-MA（Fast Fourier Transform Moving Average）算法引入到随机介质建模研究中，分析了该方法与传统随机介质建模方法相比具有的优势，并提出了基于FFT-MA的非平稳随机介质建模方法.建模实验表明，与传统的基于谱分解定理的随机介质建模方法相比，基于FFT-MA的方法在空间域产生随机数序列，使随机数序列与结构参数分离，因此，随机数序列与所建模型存在空间上的对应关系，可以分区域建模和局部修改模型.在非平稳随机介质模型建模时，滑动窗口的大小可以根据自相关长度变化而变化，避免了每个采样点都建立一次完整大小的模型，提高了建模效率.因此，FFT-MA随机介质建模方法能准确构建满足自相关函数要求的平稳及非平稳随机介质模型，具有建模效率高、灵活、实用的优点.
关键词: FFT-MA/
随机介质/
非平稳/
自相关函数/
非均匀性

Abstract:Random medium model is an effective tool to characterize the small-scale heterogeneities of the earth. It has been widely used in analysis of the seismic scatter-wave field, reservoir characterization and so forth. In this aspect, a fast and accurate random medium modeling method is the basis for relevant research. This paper introduces the FFT-MA method into random medium modeling, analyzes its advantages, and presents a non-stationary random medium modeling method based on FFT-MA. The modeling experiments indicate that comparing with the traditional random medium modeling method based on spectral decomposition theorem, the method based on FFT-MA can produce the randomness in the spatial domain, which can uncouple the random numbers from the structural parameters. It constructs the link between random numbers and the model in the spatial domain so that it can be used in sub-regional modeling and local modification. It also benefits the non-stationary random medium modeling for changing size of a modeling window along with the change of autocorrelation length. This avoids constructing the whole model each time at every node, thereby improving the modeling efficiency. In one word, FFT-MA random medium modeling can create both stationary and non-stationary random medium models satisfying the expected autocorrelation functions, and is highly efficient, flexible and practical.
Key words:FFT-MA/
Random medium/
Non-stationary/
Autocorrelation function/
Heterogeneity



PDF全文下载地址:

http://www.geophy.cn/data/article/export-pdf?id=dqwlxb_14802