[1]许波,郑家茂.包络曲线的求解方法及在地球物理勘探中的应用[J].东南大学学报(自然科学版),1999,29(6):86-88.[doi:10.3969/j.issn.1001-0505.1999.06.019]
　Xu Bo,Zheng Jiamao.Solution of Enveloping Curves and Its Application to Geophysical Prospecting[J].Journal of Southeast University (Natural Science Edition),1999,29(6):86-88.[doi:10.3969/j.issn.1001-0505.1999.06.019]
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包络曲线的求解方法及在地球物理勘探中的应用()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
29
期数:
1999年第6期
页码:
86-88
栏目:
数学、物理学、力学
出版日期:
2000-11-20

文章信息/Info

Title:
Solution of Enveloping Curves and Its Application to Geophysical Prospecting
作者:
许波1;  郑家茂2
1 江苏石油化工学院基础部,常州 213016; 2 东南大学教务处,南京 210096
Author(s):
Xu Bo1;  Zheng Jiamao2
1 Department of General Courses, Jiangsu Institute of Petrochemical Technology, Changzhou 213016
2 Dean’s Office, Southeast University, Nanjing 210096
关键词:
包络曲线;  数值解;  成像
Keywords:
enveloping curves;  numerical solution;  imagery
分类号:
O29
DOI:
10.3969/j.issn.1001-0505.1999.06.019
摘要:
给出了一类曲线包络的公切线的求解方法.这种曲线包络在地球物理勘探的成像中有着重要应用,且这些曲线通常无解析表达形式,只能得到曲线上离散的点.文中给出了求解的迭代方法及收敛性.算例表明这种迭代方法收敛速度非常快.文中还证明了速度成像中等时曲线的凸性.
Abstract:
This paper introduces a solution to the common tangent of envelope of curves. This envelope of curves is applied to the imagery of geophysical prospecting. And these curves generally have no analytic representations; only the discrete points on the curves can be got. This paper also introduces the iterative method and convergence. The examples here indicate that the convergence of this iterative method is very quick. In addition this paper proves the convexity of isochronous curves in speed imagery.

参考文献/References:

[1] 陆基孟,王强,钟国森,等.地震勘探原理及资料解释.北京:石油工业出版社,1991.111～119
[2] 吴建成,张大力,刘家琦,等.用反射波旅行时对层状介质进行成像及应用.石油地球物理勘探,1996,31(5):643～650

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备注/Memo

备注/Memo:
第一作者:男,1965年生,讲师.
更新日期/Last Update: 1999-11-20