Local Analytical Solution of One Dimension Consolidation Equation

Bo Feng; Run Tao Zhan; Feng Zhou

doi:10.4028/www.scientific.net/AMR.243-249.3113

Paper Titles

Evaluation Indexes of Sand Liquefaction Analysed by Rough Set
p.3087

The Soil Plug Failure Analysis during the Suction Penetration of Bucket Foundation
p.3092

3D Visualization Technology for the Influence on the Surrounding Environment Caused by Excavation
p.3098

Study on Rock Mass Fragment Size Prediction Technology Based on Three-Dimensional Interception Model
p.3105

Local Analytical Solution of One Dimension Consolidation Equation
p.3113

Research on Un-Linear Deformation Characteristics of Unsaturated Clay with General Triaxial Test
p.3117

Research on Factors Influencing Characteristics Experimentation and Mechanism of Rheological Parameters of Soft-Soil
p.3123

Numerical Simulation Research for Stress and Distortion of Pile-Anchor Support Structure of the Deep Foundation
p.3128

Analysis and Solutions of Deformation Behavior of Fault Zone Side Slope Hazard
p.3132

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 243-249Local Analytical Solution of One Dimension...

Local Analytical Solution of One Dimension Consolidation Equation

Abstract:

One dimension consolidation equation can be transformed into a fractional differential equation by Laplace transform. The transformed equation can leads to a simple relation between pore water pressure and its time revolution. When local rate of change of the pore water pressure is determined, the local pore water pressure can be obtained without having to solve the consolidation equation within the entire domain. The simplicity of the solution procedure is highlighted considering by a example..

You might also be interested in these eBooks

Advances in Civil Engineering and Architecture

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 243-249)

Pages:

3113-3116

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.243-249.3113

Citation:

Cite this paper

Online since:

May 2011

Authors:

Bo Feng, Run Tao Zhan, Feng Zhou

Keywords:

Consolidation Equation, Fractional Calculus, Laplace Transform

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] K. B. Oldham, and J. Spanier: The Fractional Calculus, Academic Press(1974), New York.

Google Scholar

[2] K. B. Oldham, and J. Spanier: A General Solution of the Diffusion Equation for Semiinﬁnite Geometries,'' J. Math. Anal. Appl, Vol 39 (1972) p.655–669.

Google Scholar

[3] H. Cohen: Mathematics for Scientists and Engineers, Prentice-Hall (1992) p.34

Google Scholar

[4] N.H. Asmar: Particial Differential Equation with Fourier Series and Boundary Value Problem. 2nd Edition)(2005) Pearson Education Press

Google Scholar

[5] J.H. Qian and Z.J. Yin: Principal and calculation of geotechnical engineering (in Chinese), 2nd Edition(1996), China Water Power Press.

Google Scholar