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General Geology: Crustal deformation. Instructor: Prof. Dr. Boris Natalin. Topics: . Forces Stress Folds Faults Joints (fractures). Force. First law of motion, the Law of Inertia: in the absence of a force a body moves either at constant velocity or is at rest
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General Geology: Crustal deformation • Instructor: Prof. Dr. Boris Natalin
Topics: • Forces • Stress • Folds • Faults • Joints (fractures)
Force First law of motion, the Law of Inertia: • in the absence of a force a body moves either at constant velocity or is at rest • Acceleration: [a] : [vt–1] : [lt–2][a] is acceleration, m/s2 Second Law of Motion [F] : [ma] : [mlt–2][F] is force, m/s2, called a newton (N) in SI • Force is mass multiplied by acceleration • Force, like velocity, is a vector quantity, meaning that it has both magnitude and direction.
Stress Stress, represented by the symbol σ (sigma), is defined as the force per unit area [A]σ = F/A kg/m ⋅ s2 (or N/m2), a pascal (Pa)1 bar = 105 Pa ≈ 1 atmosphere
Two-dimensional stress • Traction • Stress tensor • Normal stress, σn • Shear stress, σs
Stress ellipsoid fully describes the stress state at a point • Principal stresses: σ1, σ2, and σ3 Properties of stress axes Principal planes of stress
Stress States • Isotropic • Anisotropic σ1 ≥ σ2 ≥ σ3 • Differential stress, σd
Stress States General triaxial stress: σ1 >σ2 >σ3 ≠0 Biaxial (plane) stress: one axis =0 (e.g., σ1 >0 >σ3) Uniaxial compression: σ1 >0; σ2 =σ3 =0 Uniaxial tension: σ1 =σ2 =0; σ3 <0 Hydrostatic stress (lithostatic pressure): σ1 =σ2 =σ3 Pressure gradient - 27 MPa
Deformation consists of three components: • Rotation • Translation • Strain
Stress - Change of shape or/and volume - Compressional stress - Tensional stress - Shear stress
Deformation: Elastic Behavior • Elastic behavior depends on lattice properties
Types of Deformation Plastic deformation • Elastic and plastic deformation Elastic deformation
Types of Deformation Brittle failure (faults) Ductile deformation (folds) • Laboratory experiments • Controlling factors:- confining pressure- temperature- time
Field studies • Outcrop • Geological mapping • Horizontal versus inclined occurrences of bedding • Strike and dip • Rock structures
Orientation of a plane: - Strike - Dip direction - Dip angle Orientation of a line: - Plunge direction - Plunge - Rake (γ)
Folds • Fold elements- limb- axis (hinge)- axial plane • Horizontal folds • Inclined folds • Vertical folds
Types of folds • Upright (horizontal and plunging) • Inclined (horizontal and plunging) • Recumbent • Vertical folds • Anticline and syncline • Symmetrical and asymmetrical folds • Overturned and recumbent folds
Faults elements • Footwall block • Hanging wall block
Reverse faults and thrusts Cambrian Jurassic The Keystone Thrust
Reverse faults and thrusts Lewis Thrust Klippe
Representation of faults on mapsand cross sections • We use thick (heavy) line for faults on geologic maps • Bars and teeth are on the hanging wall • Bars and teeth do not indicate the direction of movement!
Joints A natural, unfilled, planar or curviplanar fracture which forms by tensile loading (i.e., the walls of a joint move apart very slightly as the joint develops). Joint formation does not involve shear displacement.
North Anatolian Fault Originated 13-11 Ma Marmara 200 ky Propagates 11 cm/y Seismic activity propagates to the west. Dead Sea and East Anatolian fault (ca. 3 Ma)