‘Two sides of one’ method for inversion of correlated parameters random fields

CHEN Jian; WANG Zhan-sheng; RONG Hu-reng

doi:10.16285/j.rsm.2016.06.030

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‘Two sides of one’ method for inversion of correlated parameters random fields

更新时间：2026-06-25

- ‘Two sides of one’ method for inversion of correlated parameters random fields
- Vol. 37, Issue 6, Pages: 1773-1780(2016)
- 作者机构：
  
  1. 中国科学院武汉岩土力学研究所岩土力学与工程国家重点试验室,湖北,武汉,430071
  2. 河北建筑工程学院土木工程学院,河北,张家口,075000
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2016.06.030
  CLC： O211.6
- Online First：09 June 2018，
  
  Published：2016
- 稿件说明：
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CHEN Jian, WANG Zhan-sheng, RONG Hu-reng. ‘Two sides of one’ method for inversion of correlated parameters random fields[J]. 2016, 37(6): 1773-1780.
DOI：

CHEN Jian, WANG Zhan-sheng, RONG Hu-reng. ‘Two sides of one’ method for inversion of correlated parameters random fields[J]. 2016, 37(6): 1773-1780. DOI： 10.16285/j.rsm.2016.06.030.

摘要

合理的参数输入是岩土工程数值计算的前提和关键，目前常用的赋定常参数值的方法事实上忽略了参数本身在空间上的变异性与相关性，用确定性参数描述复杂岩土体力学性能的方法在某些情况下甚至可能会导致分析结果与真实情况的背离。因此，要弥补此中不足，就必须探讨在空间相关条件下参数随机场的反演方法。单参数随机场在空间上存在自相关性，而多参数随机场不仅存在空间上的自相关性，还存在空间上的互相关性。从“一体两分”（自相关性=互相关性+剩余自相关性）思想出发，构建了反映空间相关性信息的参数反演数学模型，并利用此数学模型生成了各向同性相关结构下的双参数随机场，对反演结果相关性统计结果表明：此法生成的参数随机场，自相关性和互相关性都得到了很好的满足。

Abstract

Proper estimation of input parameters plays a crucial role in the numerical simulations of geotechnical engineering. In conventional numerical procedures

all the input parameters are assumed constant and unique

and their variability and cross-correlation are usually neglected

so that significant error can be induced in the simulated results. To resolve the problem

an inversion method must be introduced to obtain mechanical parameters

which are spatially correlated. The random field of a single parameter has a characteristic of auto-correlation

whereas the random field of multi-parameter is not only auto-correlated

but also cross-correlated. Based on ‘two sides of one’ (auto-correlation ??cross-correlation ??remaining auto-correlation)

a mathematical inversion model of multi-parameter random field is built. Correlation statistics results of random fields generated by ‘two sides of one’ method show that auto-correlation and cross-correlation are well satisfied in the isotropic correlated condition.

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