1 引言

為了強調巖土材料性質的隨機性和不確定性，各種地質統(tǒng)計模擬方法逐漸引入到巖土工程和采礦工程中，其中最流行的一種方法是順序高斯模擬法SGS(Sequential Gaussian Simulation)，例如(2013) Soil variability and its consequences in geotechnical engineering研究了土的變異性對巖土工程的影響；(2017) Modelling Geomechanical Heterogeneity of Rock Masses Using Direct and Indirect Geostatistical Conditional Simulation Methods研究了巖石的各向異性。本文非常簡要地回顧了SGS在巖土和采礦工程中的應用，這些文獻僅存在于目前的GeostechSet數(shù)據(jù)集中，外部的文獻沒有涉及。

2 邊坡穩(wěn)定性

SGS的第一個應用領域是邊坡穩(wěn)定性分析，參看今天發(fā)布的另一篇文章《巖土材料的空間變異性分析(Spatial Variability Analysis)》。

(2012) On Using Spatial Methods for Heterogeneous Slope Stability Analysis 

(2014) A sequential Gaussian simulation approach to modelling rock mass heterogeneity

(2017) A Comparison of Traditional, Step-Path, and Geostatistical Techniques in the Stability Analysis of a Large Open Pit

(2017) Modelling Geomechanical Heterogeneity of Rock Masses Using Direct and Indirect Geostatistical Conditional Simulation Methods 

(2022) A stochastic spatial modeling approach for pit slope stability analysis using 3D limit equilibrium analysis 

3 DFN生成

代表性的應用是三維離散斷裂DFN生成程序MoFrac。 

(2019) A DFN–DEM Multi?scale Modeling Approach for Simulating Tunnel

Excavation Response in Jointed Rock Masses

(2022) Developing spatially constrained Discrete Fracture Network (DFN) models for a stochastic pit slope stability analysis 

4 崩落采礦

SGS應用于崩落采礦法用來控制礦石的邊界品位。  

(2015) Volumetric Fracture Intensity Measurement for Improved Rock Mass Characterisation and Fragmentation Assessment in Block Caving Operations

(2017) Determination of Optimum Draw point Layout in Block Caving using Sequential Gaussian Simulation

(2020) An application of mathematical programming and sequential Gaussian simulation for block cave production scheduling

5 地下水

SGS應用于地下水模擬。

(2010) Groundwater Inflow Into Rock Tunnels 

(2018) Study of the Scale Effect on Permeability in the Interlayer Shear Weakness Zone Using Sequential Indicator Simulation and Sequential Gaussian Simulation