Online citations, reference lists, and bibliographies.
← Back to Search

General Theory Of Three‐Dimensional Consolidation

M. Biot
Published 1941 · Mathematics

Save to my Library
Download PDF
Analyze on Scholarcy Visualize in Litmaps
Share
Reduce the time it takes to create your bibliography by a factor of 10 by using the world’s favourite reference manager
Time to take this seriously.
Get Citationsy
The settlement of soils under load is caused by a phenomenon called consolidation, whose mechanism is known to be in many cases identical with the process of squeezing water out of an elasticporous medium. The mathematical physical consequences of this viewpoint are established in the present paper. The number of physical constants necessary to determine the properties of the soil is derived along with the general equations for the prediction of settlements and stresses in three‐dimensional problems. Simple applications are treated as examples. The operational calculus is shown to be a powerful method of solution of consolidation problems.
This paper references



This paper is referenced by
10.1017/9781108151726.016
Empirical Relations for Fluid (Brine, Oil, Gas) Properties
N. Dutta (2021)
10.1029/2020JB020384
Fluid‐Earthquake and Earthquake‐Earthquake Interactions in Southern Kansas, USA
A. Verdecchia (2021)
10.1016/J.COMPGEO.2021.104100
A new approach for estimating the vertical elastic settlement of a single pile based on the fictitious soil pile model
Yunpeng Zhang (2021)
10.1007/s11629-020-6567-4
Influence of rainfall infiltration on the stability of unsaturated coal gangue accumulated slope
K. Khan (2021)
10.1063/5.0041267
A novel fluid–solid coupling model for the oil–water flow in the natural fractured reservoirs
Dongxu Zhang (2021)
10.1007/S00419-021-01958-6
Poroelastic response of a functionally graded hollow cylinder under an asymmetric loading condition
T. Nguyen-Sy (2021)
10.1016/j.apm.2020.09.019
Dynamic response of saturated multilayered soils with elastic superstrata subjected to vertical impulsive loadings
Z. Ai (2021)
10.1016/j.camwa.2020.07.025
Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model
Nicolás Barnafi (2021)
10.1016/j.cma.2020.113550
Isogeometric analysis of subcutaneous injection of monoclonal antibodies
M. de Lucio (2021)
10.1016/J.OCEANENG.2021.108924
Analytical solution for wave-induced hydraulic response on subsea shield tunnel
Cheng-wei Zhu (2021)
10.1016/j.camwa.2021.04.012
Robust and reliable finite element methods in poromechanics
F. Bertrand (2021)
10.1155/2021/8858030
Investigation on the Influence of Temperature and Confining Pressure on the Hydraulic Conductivity of the Integrated and Fractured Jurassic Conglomerates
Dingyang Zhang (2021)
10.1002/9781119312994.APR0755
Plant–Soil Modelling
S. Ruiz (2021)
10.1007/s13202-021-01174-6
Influence of depth on induced geo-mechanical, chemical, and thermal poromechanical effects
N. E. Ezendiokwere (2021)
10.1061/(ASCE)GM.1943-5622.0002061
Mechanical Behavior of Sandstone Pressurized with Supercritical CO 2 and Water under Different Confining Pressure Conditions
Qiang Zhang (2021)
10.1016/J.ENGGEO.2021.105998
Modeling historical subsidence due to groundwater withdrawal in the Alto Guadalentín aquifer-system (Spain)
J. Fernández-Merodo (2021)
A new framework for the stability analysis of perturbed saddle-point problems and applications in poromechanics
Qingguo Hong (2021)
10.1007/s11001-020-09422-w
Fracture formation due to differential compaction under glacial load: a poro-elastoplastic simulation of the Hugin Fracture
K. Landschulze (2021)
10.1017/9781108151726.012
Geohazard Prediction and Detection
N. Dutta (2021)
10.1093/GJI/GGAB207
Elastoplastic source model for microseismicity and acoustic emission
A. Minakov (2021)
10.1016/j.physd.2021.132984
Actively deforming porous media in an incompressible fluid: a variational approach
T. Farkhutdinov (2021)
10.1007/978-3-030-64514-4_85
A Coupled MPM–SPH Numerical Simulation for Fully Saturated Soil
Yohei Nakamichi (2021)
10.1007/978-3-030-64514-4_65
Consolidation of Saturated Soils through a Different Prism
A. Kalos (2021)
10.1016/J.IJRMMS.2021.104638
Design and application of hydro-mechanical coupling test system for simulating rock masses in high dam reservoir operations
Aiqing Wu (2021)
10.3390/EN14113056
The Influence of Rate of Change in Confining and Pore Pressure on Values of the Modulus of Compressibility of the Rock Skeleton and Biot’s Coefficient
A. Nowakowski (2021)
10.1007/s00466-021-02023-3
ANN-aided incremental multiscale-remodelling-based finite strain poroelasticity
H. Dehghani (2021)
10.1002/NAG.3219
Solutions for one‐dimensional consolidation of unsaturated soil with general boundary conditions subjected to time‐dependent load
Jiajun Niu (2021)
10.1007/s11242-021-01611-4
Parameterization of Biot–Willis Effective-Stress Coefficient for Deformation and Alteration of Porous Rocks
F. Civan (2021)
10.1038/s41598-021-82236-x
Poromechanical controls on spontaneous imbibition in earth materials
A. Haghi (2021)
10.1016/J.COMPGEO.2021.104158
Formulation and numerical implementation of a state parameter-based generalized plasticity model for mine tailings
O. Ledesma (2021)
10.1016/J.IJNONLINMEC.2021.103697
Role of fluid phase in compression of nonlinear elastic fluid-saturated porous medium
A. Suvorov (2021)
10.1103/PhysRevE.103.063106
Capillary and viscous fracturing during drainage in porous media.
Francisco Javier Agudelo Carrillo (2021)
See more
Semantic Scholar Logo Some data provided by SemanticScholar