Relationships between compressional-wave and shear-wave velocities in clastic silicate rocks

1985/04/01 by J. P. Castagna, John P. Castagna, M. L. Batzle +2 · 1,578 citations
Chemistry · Earth and Planetary Sciences · Engineering · #Bulk modulus #Chemistry #Clastic rock #Composite material #Drilling and Well Engineering #Geochemistry #Geology #Geophysics #Geotechnical engineering #Longitudinal wave #Materials science #Mechanics #Mineralogy #Optics #Petrology #Rigidity (electromagnetism) #S-wave #SPHERES #Sedimentary rock #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis #Shear (geology) #Shear modulus #Shear velocity #Shear waves #Silicate #Wave propagation #Wave velocity

paper · doi:10.1190/1.1441933

published in Geophysics 50(4), 571-581 (Society of Exploration Geophysicists)

openalex publication_date 1985/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract New velocity data in addition to literature data derived from sonic log, seismic, and laboratory measurements are analyzed for clastic silicate rocks. These data demonstrate simple systematic relationships between compressional and shear wave velocities. For water-saturated clastic silicate rocks, shear wave velocity is approximately linearly related to compressional wave velocity and the compressional-to-shear velocity ratio decreases with increasing compressional velocity. Laboratory data for dry sandstones indicate a nearly constant compressional-to-shear velocity ratio with rigidity approximately equal to bulk modulus. Ideal models for regular packings of spheres and cracked solids exhibit behavior similar to the observed water-saturated and dry trends. For dry rigidity equal to dry bulk modulus, Gassmann's equations predict velocities in close agreement with data from the water-saturated rock.

Citations

• Elastic waves through a packing of spheres

Cited by

• Framework for AVO gradient and intercept interpretation
• The inverse correlations between methane content and elastic parameters of coal-bed methane reservoirs
• Empirical Relations between Elastic Wavespeeds and Density in the Earth's Crust
• Earthquake Moment Magnitudes from Peak Ground Displacements and Synthetic Green's Functions
• Application of the reverberation waveform inversion for the high-resolution sediment layer structure in the Pacific
• Accelerating wave simulations with neural dispersion correctors
• Evolving Sediment Structure and Lithospheric Architecture Across the Indo‐Burman Forearc Margin From the Joint Inversion of Surface‐ and Scattered‐Wave Seismic Constraints
• Earthquake Activity in Northern Cascadia Subduction Zone Off Vancouver Island Revealed by Ocean‐Bottom Seismograph Observations
• Spatially-optimized finite-difference schemes for numerical dispersion suppression in seismic applications
• Data-driven rational function neural networks: a new method for generating analytical models of rock physics
• Assessment of dynamic material properties of intact rocks using seismic wave attenuation: an experimental study. [europepmc]
• Analysis of Cuttings' Minerals for Multistage Hydraulic Fracturing Optimization in Volcanic Rocks. [europepmc]
• Subsidence-Derived Volumetric Strain Models for Mapping Extensional Fissures and Constraining Rock Mechanical Properties in the San Joaquin Valley, California. [europepmc]
• Damage Evaluation of Concrete under Uniaxial Compression Based on the Stress Dependence of AE Elastic Wave Velocity Combined with DIC Technology. [europepmc]
• Monitoring geological storage of CO 2 using a new rock physics model. [europepmc]
• Imaging the subsurface architecture in porphyry copper deposits using local earthquake tomography. [europepmc]
• A novel directional-oriented method for predicting shear wave velocity through empirical rock physics relationship using geostatistics analysis. [europepmc]
• Utilizing post-stack seismic inversion for delineation of gas-bearing sand in a pleistocene reservoir, baltim gas field, nile delta, Egypt. [europepmc]
• Machine learning model optimization for compressional sonic log prediction using well logs in Shahd SE field, Western Desert, Egypt. [europepmc]
• The role of subsurface geomechanics in the green energy transition. [europepmc]
• Shear wave velocity prediction using Long Short-Term Memory Network with generative adversarial mechanism. [europepmc]
• The role of fast and slow dynamics in nonlinear resonant ultrasound spectroscopy of consolidated granular materials. [europepmc]
• XGBoost regression for robust acoustic impedance prediction in the absence of density and sonic logs. [europepmc]

Related

• Empirical Relations between Elastic Wavespeeds and Density in the Earth's Crust
• Compressional and shear wave properties of marine sediments: Comparisons between theory and data
• Empirical relationships among seismic velocity, effective pressure, porosity, and clay content in sandstone
• Formation velocity and density; the diagnostic basics for stratigraphic traps
• New Stress-dependent Elastic Wave Velocity Models for Reservoir Rocks with Applications