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The Theory of Strata Mechanics
1st Edition - May 27, 1991
Editor: H. Gil
eBook ISBN:
9 7 8 - 0 - 4 4 4 - 5 9 8 1 1 - 0
During the last thirty years, the increasing need for extracting coal from new mining fields, especially from unmined protective pillars and seams that are threatened with rock… Read more
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During the last thirty years, the increasing need for extracting coal from new mining fields, especially from unmined protective pillars and seams that are threatened with rock bursts and rock-gas eruptions, has accelerated the development of research in the fundamental mining discipline known as rock mass mechanics or geomechanics. Generally, rock mass mechanics is concerned with rock mass movements and with the phenomena accompanying them. Extensive theoretical, laboratory, and in-situ investigations have resulted in considerable achievements in the field of rock mass mechanics. It is impossible to include all these achievements in a single monograph, and therefore in the present book the author has attempted to contruct a synthetic mathematical description of the rock mass movements and of the strain and stress state induced by mining, in particular when extracting mineral deposits.
(abbreviated) Introduction. Development of rock mass mechanics
. Interrelation between the mechanics of rock masses and the mechanics of contin
uous media. 1. Rock Masses Disturbed by Mining. General characteristics o
f rock masses. Idealization of the rock mass. Primary stress state. The equation
of continuity. The equation of motion. Concept of weightlessness of a rock.
2. The Elastic State of Rock Around Excavations. The elastic properties of a
rock mass. Effect of rock layering upon the form of the equations of state. Equ
ation of equilibrium in terms of displacements. Plane state of strain in a rock
mass. Systems operating in a plane state of strain. Three-dimensional states of
displacement and stress in the vicinity of excavations. 3. The Viscoelastic S
tate of Rock Around Excavations. Rheological properties of rock masses. Diff
erential form of the state equations. Integral form of the state equations. The
displacement equation of equilibrium. Plane strain state. Plane strain- and stre
ss distributions around excavations. Three-dimensional stress state around excav
ations. 4. Geometrical Theories of Rock Mass Movements. Introduction. The
effect of an excavation upon a point isolated on the ground surface. The relati
on between the surface of influence and the subsidence profile. The plane profil
e of a full subsidence trough. Inclination and curvature of the plane profile of
a subsidence trough. Determining the horizontal component of displacement and s
train. Variation of the shape of a subsidence trough with time. Three-dimensiona
l profile of a subsidence trough with two-parameter surface of influence. Three-
dimensional profile of a subsidence trough described by a three-parameter influe
nce function. Differential equations for displacements in a rock mass. 5. Ela
stic-Plastic Model of an Inhomogeneous Rock Mass. Introduction Elastic-plast
ic properties of rocks. The mechanism of elastic-plastic deformation of rocks an
d the concept of dislocation. Dislocation energy. Dislocation movement and macro
scopic plastic strains. Differential equation describing the average dislocation
displacement vector. Dislocation model of a dry rock mass. Equations of the dis
location model. General solution of the equations of the dislocation model with
account of the anisotropy and inhomogeneity of the rock mass. Solution of the eq
uations of the dislocation model for an isotropic, uniformly elastic rock mass.
Separating the elastic stress field from the total stress field. One-dimensional
distribution of displacement and stress in a rock mass. Estimate of the distri
bution of stress in a coal seam. Generalization of the dislocation model. Disloc
ation model of a water-saturated rock mass. Effect of local rock swelling. Effec
t of local stowing. 6. Theoretical Foundations of Controlling Movements of a
Rock Mass. Introduction. Minimization of surface deformations by mining two
rectilinear faces simultaneously. Minimization of surface deformations developed
in a rock mass around the lining of a shaft. Minimization of surface deformatio
ns around the outcrop of a fold. Method for continuously controlling rock mass m
ovements. References. Subject Index.
. Interrelation between the mechanics of rock masses and the mechanics of contin
uous media. 1. Rock Masses Disturbed by Mining. General characteristics o
f rock masses. Idealization of the rock mass. Primary stress state. The equation
of continuity. The equation of motion. Concept of weightlessness of a rock.
2. The Elastic State of Rock Around Excavations. The elastic properties of a
rock mass. Effect of rock layering upon the form of the equations of state. Equ
ation of equilibrium in terms of displacements. Plane state of strain in a rock
mass. Systems operating in a plane state of strain. Three-dimensional states of
displacement and stress in the vicinity of excavations. 3. The Viscoelastic S
tate of Rock Around Excavations. Rheological properties of rock masses. Diff
erential form of the state equations. Integral form of the state equations. The
displacement equation of equilibrium. Plane strain state. Plane strain- and stre
ss distributions around excavations. Three-dimensional stress state around excav
ations. 4. Geometrical Theories of Rock Mass Movements. Introduction. The
effect of an excavation upon a point isolated on the ground surface. The relati
on between the surface of influence and the subsidence profile. The plane profil
e of a full subsidence trough. Inclination and curvature of the plane profile of
a subsidence trough. Determining the horizontal component of displacement and s
train. Variation of the shape of a subsidence trough with time. Three-dimensiona
l profile of a subsidence trough with two-parameter surface of influence. Three-
dimensional profile of a subsidence trough described by a three-parameter influe
nce function. Differential equations for displacements in a rock mass. 5. Ela
stic-Plastic Model of an Inhomogeneous Rock Mass. Introduction Elastic-plast
ic properties of rocks. The mechanism of elastic-plastic deformation of rocks an
d the concept of dislocation. Dislocation energy. Dislocation movement and macro
scopic plastic strains. Differential equation describing the average dislocation
displacement vector. Dislocation model of a dry rock mass. Equations of the dis
location model. General solution of the equations of the dislocation model with
account of the anisotropy and inhomogeneity of the rock mass. Solution of the eq
uations of the dislocation model for an isotropic, uniformly elastic rock mass.
Separating the elastic stress field from the total stress field. One-dimensional
distribution of displacement and stress in a rock mass. Estimate of the distri
bution of stress in a coal seam. Generalization of the dislocation model. Disloc
ation model of a water-saturated rock mass. Effect of local rock swelling. Effec
t of local stowing. 6. Theoretical Foundations of Controlling Movements of a
Rock Mass. Introduction. Minimization of surface deformations by mining two
rectilinear faces simultaneously. Minimization of surface deformations developed
in a rock mass around the lining of a shaft. Minimization of surface deformatio
ns around the outcrop of a fold. Method for continuously controlling rock mass m
ovements. References. Subject Index.
- No. of pages: 288
- Language: English
- Published: May 27, 1991
- Imprint: Elsevier Science
- eBook ISBN: 9780444598110
HG
H. Gil
Affiliations and expertise
Silesian Technical University, Gliwice, Poland