地震记录中反射系数的Markov模拟

Markov Mimic of Reflectivity Coefficient in Seismic Records

Ｇｏｄｆｒｅｙ视地震记录为随机过程，利用Ｍａｒｋｏｖ链来模拟井记录的块状性而得到非高斯反射的随机模型。本文严格推导该反射的概率密度函数，在最小交叉熵法则下得到了与近井道的反射联系紧密的远井道的反射的概率密度函数，揭示出Ｇｏｄｆｒｅｙ模型与Ｂ—Ｇ模型之间的联系。

Godfrey looks the seismic records as stochastic processes.The stochactic model of non-Gaussian reflectivity is constructed using the Markov chain mimic the blockness characteristic of the well logs.In the paper ,we strictly derive the probability density function of this reflectivity.Under minimun cross entropy rule.we obtain the probability densing function of far channels reflectivity,which is connected mostly with the near channels reflectivity.Finally,we point out the relationship between Godfrey model with B-G model.