Fundamentals of Poroelasticity
Data up to Jan 2025
Total Citations Per Year
Abstract
References (112)
Conduction of heat in solids
1959 • 18,455 citations
The Elastic Behaviour of a Crystalline Aggregate
1952 • 9,486 citations
General Theory of Three-Dimensional Consolidation
1941 • 8,856 citations
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range
1956 • 7,672 citations
Dynamics of fluids in Porous Media
1973 • 6,160 citations
Methods of theoretical physics
1954 • 4,781 citations
Mechanics of Deformation and Acoustic Propagation in Porous Media
1962 • 3,641 citations
Algorithm 368: Numerical inversion of Laplace transforms [D5]
1970 • 3,356 citations
Mathematical theory of elasticity
2004 • 3,208 citations
Thermoelasticity and Irreversible Thermodynamics
1956 • 2,642 citations
Some basic stress diffusion solutions for fluid‐saturated elastic porous media with compressible constituents
1976 • 2,016 citations
Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
1955 • 1,980 citations
The Elastic Coefficients of the Theory of Consolidation
1957 • 1,900 citations
The Pore-Pressure Coefficients A and B
1954 • 1,555 citations
Stress Fracture Criteria for Laminated Composites Containing Stress Concentrations
1974 • 1,526 citations
Boundary Element Techniques. Theory and Applications in Engineering
1985 • 1,463 citations
Boundary element methods in engineering science
1984 • 1,355 citations
Widths of Hydraulic Fractures
1961 • 1,337 citations
ELASTIC WAVES THROUGH A PACKING OF SPHERES
1951 • 1,122 citations
The distribution of stress in the neighbourhood of a crack in an elastic solid
1946 • 1,121 citations
Propagation of a Vertical Hydraulic Fracture
1972 • 1,074 citations
Incompressible porous media models by use of the theory of mixtures
1980 • 968 citations
The Theory of Ground-Water Motion
1940 • 954 citations
An exact effective stress law for elastic deformation of rock with fluids
1971 • 937 citations
Integral Equation Methods in Potential Theory and Elastostatics
1978 • 936 citations
Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
1984 • 915 citations
The Elastic Constants of a Solid containing Spherical Holes
1950 • 798 citations
General Solutions of the Equations of Elasticity and Consolidation for a Porous Material
1956 • 791 citations
ON THE DEPENDENCE OF THE ELASTIC PROPERTIES OF A POROUS ROCK ON THE COMPRESSIBILITY OF THE PORE FLUID
1975 • 697 citations
CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
1976 • 684 citations
The physics of flow through porous media
1957 • 633 citations
Random Heterogeneous Media: Microstructure and Improved Bounds on Effective Properties
1991 • 630 citations
On the response of a poro-elastic bed to water waves
1978 • 613 citations
Compressible porous media models by use of the theory of mixtures
1982 • 513 citations
Wave-induced pore pressures and effective stresses in a porous bed
1978 • 494 citations
The Finite Element Method in the Deformation and Consolidation of Porous Media
1987 • 459 citations
The Effect of Fluid Pressure Decline on Volumetric Changes of Porous Rocks
1957 • 455 citations
Poroelastic response of a borehole in a non-hydrostatic stress field
1988 • 446 citations
Compressibility of porous rocks
1986 • 438 citations
Flow through porous media
1970 • 415 citations
Consolidation Des Sols (Étude Mathématique)
1953 • 374 citations
Earthquake Source Mechanics
1986 • 371 citations
A COMPARISON OF THE THREE-DIMENSIONAL CONSOLIDATION THEORIES OF BIOT AND TERZAGHI
1963 • 356 citations
Wave-induced responses in a fluid-filled poro-elastic solid with a free surface?a boundary layer theory
1981 • 314 citations
Finite-Element Analysis of Seepage in Elastic Media
1969 • 294 citations
DISPLACEMENT FUNCTIONS AND LINEAR TRANSFORMS APPLIED TO DIFFUSION THROUGH POROUS ELASTIC MEDIA
1960 • 243 citations
PLANE STRAIN AND AXIALLY SYMMETRIC PROBLEMS OF THE CONSOLIDATION OF A SEMI-INFINITE CLAY STRATUM
1960 • 221 citations
An investigation of the stability of numerical solutions of Biot's equations of consolidation
1975 • 196 citations
Integral Equation for Dynamic Poroelasticity in Frequency Domain with BEM Solution
1991 • 186 citations
Numerical procedure for simulation of hydraulically-driven fracture propagation in poroelastic media
1990 • 185 citations
Note on a variational approach to the theory of composite elastic materials
1961 • 180 citations
Boundary element methods in solid mechanics
1984 • 178 citations
Hydraulic Fracturing in Porous-Permeable Materials
1969 • 172 citations
Flow of compressible fluid in porous elastic media
1973 • 168 citations
A simple constitutive theory for a fluid-saturated porous solid
1972 • 167 citations
An effective stress law for anisotropic elastic deformation
1979 • 165 citations
Fluid pressure response to undrained compression in saturated sedimentary rock
1986 • 156 citations
The Biot-Willis Elastic Coefficients for a Sandstone
1959 • 147 citations
PLANE STRAIN AND AXIALLY SYMMETRIC CONSOLIDATION OF A CLAY LAYER ON A SMOOTH IMPERVIOUS BASE
1970 • 145 citations
Seepage force on a pipeline buried in a poroelastic seabed under wave loadings
1986 • 121 citations
Boundary integral equation method for linear porous‐elasticity with applications to soil consolidation
1984 • 119 citations
Plane strain analysis of a stationary hydraulic fracture in a poroelastic medium
1991 • 112 citations
On constitutive equations for flow of fluid through an elastic solid
1966 • 111 citations
A direct boundary element method for plane strain poroelasticity
1988 • 94 citations
A mathematical model of water flux through aortic tissue
1979 • 91 citations
Stress distribution in a notched plate
1957 • 88 citations
Specific storage as a poroelastic coefficient
1990 • 80 citations
Pore Pressure Measurement in Saturated Stiff Soils
1969 • 78 citations
Poroelasticity considerations in In Situ stress determination by hydraulic fracturing
1989 • 77 citations
The Role of Terzaghi Effective Stress in Linearly Elastic Deformation
1983 • 77 citations
Undrained Stress Distribution by Numerical Methods
1968 • 71 citations
Basic Formulation of Static and Dynamic Behaviour of Soil and other Porous Media
1982 • 68 citations
Moving singularities in elasto-diffusive solids with applications to fracture propagation
1978 • 62 citations
A Poroelastic PKN Hydraulic Fracture Model Based on an Explicit Moving Mesh Algorithm
1990 • 61 citations
Transient boundary element formulation for linear poroelasticity
1987 • 61 citations
A mathematical model of water flux through aortic tissue
1979 • 60 citations
Le problèmc de la consolidation des matières argileuses sous une charge
1935 • 60 citations
Analysis of a point sink embedded in a porous elastic half space
1986 • 58 citations
CONSOLIDATION DUE TO TANGENTIAL LOADS
1965 • 58 citations
Analysis of Mechanisms and Procedures for Producing Favourable Shapes of Hydraulic Fractures
1980 • 57 citations
Numerical Laplace‐Fourier transform inversion technique for layered‐soil consolidation problems: I. Fundamental solutions and validation
1986 • 52 citations
A time domain boundary element method for poroelasticity
1989 • 51 citations
Transient Filtration in a Porous Elastic Cylinder
1976 • 49 citations
Plane Strain Dislocations in Linear Elastic Diffusive Solids
1987 • 48 citations
Coupled deformation-diffusion effects on water-level changes due to propagating creep events
1984 • 48 citations
Boundary integral equation method for linear porous‐elasticity with applications to fracture propagation
1984 • 47 citations
The determination of biot's parameters for sandstones
1978 • 44 citations
Displacement functions in the theory of consolidation or in thermoelasticity
1971 • 40 citations
Influence of pressurization rate on the magnitude of the breakdown pressure
1992 • 39 citations
Poroelastic Solution of a Plane Strain Point Displacement Discontinuity
1987 • 38 citations
A THREE-DIMENSIONAL PROBLEM OF THE CONSOLIDATION OF A SEMI-INFINITE CLAY STRATUM
1963 • 38 citations
A two‐dimensional poroelastic displacement discontinuity method for hydraulic fracture simulation
1989 • 37 citations
THE EFFECT OF PRESSURE ON THE REDUCTION OF PORE VOLUME OF CONSOLIDATED SANDSTONES
1953 • 34 citations
The completeness of Biot’s solution of the coupled thermoelastic problem
1969 • 32 citations
Steady propagation of plane strain shear cracks on an impermeable plane in an elastic diffusive solid
1991 • 31 citations
Pore pressure changes induced by slip on permeable and impermeable faults
1988 • 31 citations
The Effects of Pore Pressure and Confining Pressure on Pore and Bulk Volume Compressibilities of Consolidated Sandstones
1985 • 30 citations
A Displacement Discontinuity Model For Fluid-saturated Porous Media
1987 • 29 citations
Slip on an Impermeable Fault in a Fluid-Saturated Rock Mass
2011 • 27 citations
The Modified Mixture Theory for Fluid-Filled Porous Materials: Theory
1987 • 26 citations
The Constitutive Theory for Fluid-Filled Porous Materials
1985 • 26 citations
Static Deformation of Rock
1980 • 25 citations
Point Sink Fundamental Solutions for Subsidence Prediction
1990 • 22 citations
Plane-Strain Shear Dislocations Moving Steadily in Linear Elastic Diffusive Solids
1990 • 22 citations
A Laplace‐transform‐based three‐dimensional BEM for poroelasticity
1993 • 22 citations
Response of a vertical hydraulic fracture intersecting a poroelastic formation bounded by semi-infinite impermeable elastic layers
1990 • 19 citations
Estimation of the Mechanical Properties of Fluid-Saturated Rocks Using the Measured Wave Motions
1979 • 17 citations
A boundary integral equation method for consolidation problems
1989 • 17 citations
Special finite elements for analysis of soil consolidation
1985 • 8 citations
The consolidation problem treated by a consistent (static) finite element approach
1983 • 8 citations
Consolidation due to shear loads distributed over a rectangular area
1978 • 7 citations
Poroelastic effects related to stress determination by microfrac tests in permeable rock
1992 • 3 citations