A simplification of the Zoeppritz equations
A simplification of the Zoeppritz equations
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DOI：
10.1190/1.1441936
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发表时间：
1985-04
期刊：
影响因子：
3.3
通讯作者：
R. Shuey
中科院分区：
文献类型：
--
作者：
R. Shuey
由Zoeppritz方程给出的纵波反射系数R（θ）简化为：R（θ）= R_0 +[A_0 R_0 +Δσ（1-σ）~ 2] sin ~ 2 θ +1/2 ΔVpVp（tan ~ 2 θ-sin ~ 2 θ）。第一项给出了垂直入射（θ = 0）时的振幅，第二项表征了中间角时的R（θ），第三项描述了接近临界角的情况。第二项的系数是弹性性质的组合，其可以通过分析常规多道反射数据中的同相轴振幅的偏移距依赖性来确定。如果将同相轴振幅归一化为正入射时的值，则确定的量为A=A0+1（1-σ）2Δσ R 0。A0表示振幅随炮检距的正常逐渐减小;其值受到足够好的约束，使得所传达的主要信息为Δσ/R 0，其中Δσ为反射界面处泊松比的对比度，R 0为垂直入射时的振幅。这个简化的R（θ）公式说明了R（θ.之间的所有关系。
The compressional wave reflection coefficient R(θ) given by the Zoeppritz equations is simplified to the following: R(θ)=R0+[A0R0+Δσ(1-σ)2]sin2θ+1/2ΔVpVp(tan2θ-sin2θ). The first term gives the amplitude at normal incidence (θ = 0), the second term characterizes R(θ) at intermediate angles, and the third term describes the approach to critical angle. The coefficient of the second term is that combination of elastic properties which can be determined by analyzing the offset dependence of event amplitude in conventional multichannel reflection data. If the event amplitude is normalized to its value for normal incidence, then the quantity determined is A=A0+1(1-σ)2ΔσR0. A0 specifies the normal, gradual decrease of amplitude with offset; its value is constrained well enough that the main information conveyed is Δσ/R0, where Δσ is the contrast in Poisson’s ratio at the reflecting interface and R0 is the amplitude at normal incidence. This simplified formula for R(θ) accounts for all of the relations between R(θ...