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井孔声场计算中的黎曼叶选择
The Choice of Riemann Sheets in the Calculation of the Borehole Acoustic Waves
【摘要】 针对耗散介质地层模型和双相介质地层模型,给出频率-波数域井孔声场函数Φ1(r,ω,k)在k实轴上满足辐射条件的单值定义,确定在积分围道上和围道内Φ1(r,ω,k)所在的黎曼叶.同时,澄清了首波分析中的一些概念.
【Abstract】 The borehole acoustic potential in the frequency-wavenumber domain di, (r,co,k) is a multivalue function of the axial wavenumber k- By imposing the radiation condltion and analytic continuation, di, (r, co,k) is slngle-valued on the complex k plane. The lossy solid formation model and the poroelastic formation model are studied. Some confusing concepts in head wave analysis are clarified.
【关键词】 声波测井;
耗散介质;
双相介质;
频率-波数域声场函数;
黎曼叶;
【Key words】 acoustic logging; lossy medium; poroelastic medium; frequency-wavenumber domain potential function; Riemann sheet;
【Key words】 acoustic logging; lossy medium; poroelastic medium; frequency-wavenumber domain potential function; Riemann sheet;
【基金】 国家自然科学基金!49674226
- 【文献出处】 吉林大学自然科学学报 ,ACTA SCIENTIARIUM NATURALIUM UNIVERSITATIS JILINENSIS , 编辑部邮箱 ,1999年04期
- 【分类号】O422
- 【被引频次】24
- 【下载频次】244