探索由静止的多高斯过程组成的替换随机函数.
Julien Straubhaar1, Philippe Renard1
1The Centre for Hydrogeology and Geothermics (CHYN), University of Neuchâtel, Emile-Argand 11, 2000 Neuchâtel, Switzerland.
概括
替代随机函数 (SRF) 提供比传统的多高斯场更灵活的空间建模. 本研究介绍了一种控制SRF连接的方法,改进它们在地球科学中的应用,以获得更好的预测.
科学领域:
- 地球科学 地球科学
- 地质统计学 在地质统计学
- 随机模型的建模
背景情况:
- 随机场的模拟对于地球科学建模和不确定性量化至关重要.
- 多高斯随机场是常见的,但很难表示高度或很差的连接空间结构.
- 现有的模型经常孤立低价值或高价值区域,影响流量和运输模拟.
研究的目的:
- 为了研究从静止的多高斯场构建的置换随机函数 (SRF) 的属性.
- 开发一种技术来控制SRF中特定值范围 (低,中,高) 的连接性.
- 提高随机场模型的灵活性,以改善空间特征表示.
主要方法:
- 使用静止的多高斯随机场,用于定向 (T) 和编码 (Y) 过程.
- 将这些过程结合起来,形成具有边界变量图的SRF.
- 在编码过程中引入一个控制点 (Y) 来指导实现,并使用吉布斯采样器进行局部值调节.
主要成果:
- 由此产生的SRF (Z) 是静态的,但由于定向场 (T) 的有限方差,对于平均值和共变量是非厄尔戈德的.
- 在SRF实现中展示了一种控制低,中或高值连接的方法.
- 通过使用吉布斯采样器成功将SRF调整为局部值.
结论:
- SRFs为模拟具有控制连接性的空间结构提供了多高斯字段的更灵活的替代方案.
- 拟议的控制点技术增强了SRF在地球科学中的实际应用.
- 这种方法改善了关键空间特征的表示,例如流量和运输问题中的连接性.
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