数学物理学报 ›› 2010, Vol. 30 ›› Issue (2): 509-516.

• 论文 • 上一篇    下一篇

关于Weber变换的推广

张新红, 同登科   

  1. 中国石油大学(华东) 数学与计算科学学院, 山东东营 257061
  • 收稿日期:2008-03-26 修回日期:2009-05-20 出版日期:2010-04-25 发布日期:2010-04-25
  • 基金资助:

    国家自然科学基金(40874044)和山东省自然科学基金(Y2007F13)资助.

On the Generalized Weber Transforms

 ZHANG Xin-Hong, TONG De-Ke   

  1. School of Mathematics and Computational Science, China University of Petroleum, Shandong Dongying 257061
  • Received:2008-03-26 Revised:2009-05-20 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(40874044)和山东省自然科学基金(Y2007F13)资助.

摘要:

该文介绍两种不同类型的推广的Weber变换,给出了第二种变换的逆变换公式,并且阐述了它们之间的联系.作为推广的Weber变换的应用,求解了无限大分形油藏中心一口井以定产量生产时的渗流问题.

关键词: Bessel函数, 积分变换, Weber变换, 逆变换公式

Abstract:

In this paper,  two different types of generalized Weber transform are introduced and  the inversion formula of the second form is established. The relationships between them are stated. A well with constant output production
 in an infinite fractal reservoir of fluid mechanics in porous medium is considered as an application of the generalized Weber  transform.

Key words: Bessel functions, Integral transforms, Weber transform, Inverse formula

中图分类号: 

  • 44A15