Kriging in Slope Reliability Analysis

1. Auflage 2024
ISBN: 978-1-032-74527-5
Verlag: CRC Press

Buch, Englisch, 336 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 672 g

Kriging can be used to determine optimal unbiased predictions for regionalized variables and has been shown to be a powerful tool in slope reliability analysis for reliability-based design. This is the first book to systematically cover the basic theory and applications of the method in slope reliability assessment.

The book gives an extensive and detailed presentation of principles and applications, introducing geostatistics and the basic theory of Kriging before addressing the challenges in the application of Kriging in slope reliability analysis. The latest advancements in Kriging application methods are introduced, which enhance computational accuracy and reduce model errors. These include optimization algorithms for spatial parameters in Kriging, adaptive modeling of spatial correlation structures, efficient sampling methods based on Monte Carlo simulation, quantitative analysis of slope failure risks, and reliability analysis methods for unreinforced and reinforced slopes based on conditional random fields. Several case studies are presented to illustrate the practical application and implementation procedures, bridging theory, and practical engineering.

Kriging in Slope Reliability Analysis particularly suits consulting engineers, researchers, and postgraduate students.

Zielgruppe

Academic and Postgraduate

Autoren/Hrsg.

Liu, Lei-Lei

Li, Jing-Ze

Huang, Lei

Fachgebiete

• Geowissenschaften Geologie Geologie
• Technische Wissenschaften Bauingenieurwesen Boden- und Felsmechanik, Geotechnik

Inhaltsverzeichnis

1 Introduction 1

1.1 Background 1

1.1.1 Uncertainties in slope engineering 1

1.1.2 Reliability analysis of slopes 3

1.1.3 Reliability-based design of slopes 4

1.1.4 Kriging in slope reliability analysis 5

1.2 Layout of the book 6

References 8

2 Overview of geostatistics and spatial sampling 11

2.1 Background of geostatistics 11

2.2 Review of geostatistics 11

2.3 Variogram and variogram modeling 13

2.3.1 Introduction of variogram 13

2.3.2 Modeling of variogram 14

2.4 Applications of geostatistics 17

2.5 Spatial sampling 19

References 21

3 Basic theory of Kriging 23

3.1 Introduction 23

3.2 Ordinary Kriging theory 24

3.3 Other types of Kriging 26

3.3.1 Simple Kriging 26

3.3.2 Universal Kriging 27

3.3.3 Co-Kriging 27

3.3.4 Disjunctive Kriging 28

3.3.5 Bayesian Kriging 29

3.4 Determination of model parameter 29

References 31

4 Application of Kriging in slope reliability analysis 33

4.1 Introduction 33

4.2 Reliability analysis of slopes 33

4.2.1 Slope stability analysis 33

4.2.2 Slope reliability analysis 35

4.2.3 Slope reliability considering parameter uncertainty 39

4.3 Kriging-based surrogate model 40

4.4 Kriging-based conditional random field modeling 41

References 43

5 Genetic algorithm-optimized Taylor Kriging surrogate model for system reliability analysis of soil slopes 47

5.1 Introduction 47

5.2 Kriging methodology 49

5.2.1 Classical Kriging theory 49

5.2.2 Theory of TK 50

5.3 GATK surrogate model 51

5.3.1 Genetic algorithm 51

5.3.2 GATK model 52

5.3.3 Analytical validation of GATK-example #1 53

5.3.4 Analytical vali

Über Autor(innen)

Lei-Lei Liu is an associate professor in the Department of Geological Engineering at Central South University, China. He is the co-author of Analysis, Design, and Construction of Foundations, also published by CRC Press.

Jing-Ze Li is a research associate at Central South University, China. His PhD research was undertaken jointly with Central South University, China and Université Grenoble Alpes, France.

Lei Huang is an associate professor at Sanming University, China. He received his PhD in The Hong Kong Polytechnic University.