Simulations of Random Medium Model and Intermixed Random Medium
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摘要: 讨论了随机介质模型的基本概念及指数型和高斯型椭圆自相关函数所描述的随机介质模型的特点, 并提出了混合型随机介质模型的概念, 该随机介质模型能更加灵活、准确地描述实际介质.通过选择在水平方向和垂直方向上的自相关长度a、b以及粗糙度r, 可以产生出各种不同形式的混合型随机介质模型.模拟结果显示, 混合型随机介质模型能更加灵活地描述实际介质, 具有适应性强, 使用方便、灵活, 能有效地模拟油气藏细节的优点.Abstract: We discussed some basic concept of random media, and discussed the characteristics of random media models with exponential and Gaussian elliptic autocorrelation functions. Meanwhile by integrating the characteristics of random media models with exponential and Gaussian elliptic autocorrelation functions, we put forward the concept of roughness factor, and hereafter the concept of intermixed random medium model, which may describe the realistic media more agilely and precisely. By selecting the autocorrelation length a of horizontal direction, b of vertical direction and r of roughness factor, we may generate diversified intermixed random media models. The results of simulations show that the intermixed random media model can describe the realistic media more agilely, with strong adaptability and convenience and agile use, and thus can simulate details of the reservoir efficiently.
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图 1 具有椭圆自相关函数的随机介质(相对扰动) 模型
Fig. 1. Random medium models (relative fluctuation) with ellipsoidal autocorrelation function
图 3 4个一维随机介质模型
a.a=1 m (指数型); b.a=10 m (指数型); c.a=1 m (高斯型); d.a=10 m (高斯型)
Fig. 3. Four random medium models
图 4 4个一维随机介质模型的模拟误差
细线表示一维随机介质模型的自相关函数, 粗线表示理论上的一维自相关函数
Fig. 4. Simulating errors of four random medium models
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