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Seismic Velocities

Seismic velocities. Can be written as function of physical quantities that describe stress/strain relationsDepend on medium propertiesMeasurements of velocitiesDefinitions of velocities (interval, rms, average etc.)Dix formula: relation between rms and interval velocitiesAnisotropy. Physical quantities to describe stress-strain properties of isotropic medium.

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Seismic Velocities

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    1. Seismic Velocities

    2. Seismic velocities Can be written as function of physical quantities that describe stress/strain relations Depend on medium properties Measurements of velocities Definitions of velocities (interval, rms, average etc.) Dix formula: relation between rms and interval velocities Anisotropy

    3. Physical quantities to describe stress-strain properties of isotropic medium Bulk modulus k volume stress/strain Shear modulus ? shear stress/strain Poissons ratio ? transverse/longitudinal strain Young’s modulus E longitudinal stress/strain

    4. Bulk modulus

    5. Shear modulus Where tau is the shear stressWhere tau is the shear stress

    6. Poissons ratio

    7. Young’s modulus

    8. Seismic Velocities in a homogeneous medium

    10. Seismic velocity Depend on Matrix and structure of the stone Lithology Porosity Porefilling interstitial fluid Temperature Degree of compaction ………

    11. Seismic Velocity depending on rock properties Ss= sand,sandstone LS= limestone, DO=DolomiteSs= sand,sandstone LS= limestone, DO=Dolomite

    13. Measurements of velocities Laboratory measurements using probes Borehole measurements Refraction seismics Analysis of reflection hyperbolas Vertical seismic profiling

    16. Different people have investigated the velocity of P-waves for various lithologies 1-7. They all found different values Range of values and the overlap!Different people have investigated the velocity of P-waves for various lithologies 1-7. They all found different values Range of values and the overlap!

    18. Velocities

    19. Several horizontal layers

    20. Dix’ Formula

    21. Anisotropy

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