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本文概述了包括吸收和散射效应在内的合成地震记录的计算方法。所用的吸收模型是由公式A=A_0e~(-az)给出的振幅随距离按指数规律衰减的普通模型。式中a是频率的线性函数。这种衰减在数学上可通过将弹性模量作为频率的复值函数来解释。这样就产生了复速度和复波数,而且反射和透射系数也变成了频率的复值函数。这种方法是以通讯理论的手段为基础的,且应用于水平层状模型的平面波。震源可以放在任意的深度上。本文对取自福特曼(1962)的特殊的吸收——散射对的方程做了详细的叙述。这里提供了一个地表合成地震记录和不同深度的合成地震记录道的例子。
This paper provides an overview of synthetic seismograms including absorption and scattering effects. The absorption model used is a general model of amplitude exponentially decaying with distance given by the formula A = A_0e ~ (-az). Where a is a linear function of frequency. This attenuation can be mathematically explained by using the modulus of elasticity as a complex function of frequency. This produces complex velocities and complex wave numbers, and the reflection and transmission coefficients also become complex values of the frequency. This method is based on the theory of communication theory and applied to a plane wave of a horizontally layered model. The source can be placed at any depth. In this paper, the special absorption-scattering pair equation from Fordmann (1962) is described in detail. Here is an example of synthetic seismograms recorded on the surface and synthetic seismograms of different depths.