Institutional page headed “How are earthquakes detected, located and measured?”. Its seismic wave table lists typical crustal P and S speeds, and its location discussion explains the use of phase arrival delays. Those generic values are not a measured Swiss velocity model.
Past exam of the plate tectonics course of the University of Oxford 2023 Question 3 d Solution 2026-10-25
The asthenosphere exists because the mantle's ability to deform is strongly dependent on temperature, pressure, composition, water and deformation mechanism. Cooling from the surface creates a strong lithosphere. Beneath it, hotter mantle deforms by material creep at much lower stress on geological timescales. The asthenosphere is predominantly solid weak rock, not a global ocean of magma. On the much shorter timescale of a seismic wave, it still supports S waves.
The hot shallow mantle can be close to its solidus. Water weakening of rocks and, in some settings, a small connected melt fraction can further lower effective viscosity. At greater depths, changes in pressure, homologous temperature, mineral structure and water storage modify the deformation laws; increasing depth does not imply indefinitely decreasing viscosity. Explaining a weak upper-mantle interval does not require every location to contain the same amount of melt.
There are several physically distinct boundaries to test. The thermal lithosphere-asthenosphere boundary describes a thermal transition, the mechanical boundary a contrast in long-term strength or viscosity, and the seismic lithosphere-asthenosphere boundary a change in seismic velocity or other wave properties. They need not have identical depths. A smooth geothermal gradient can explain broad thermal weakening, but a very sharp decrease of seismic velocity may require changes in melt fraction, hydration, composition or seismic anisotropy. A sharp shallow reflector within a craton might instead be an internal lithospheric boundary.[ref]
A global view of the lithosphere-asthenosphere boundary by Catherine A. Rychert and Peter M. Shearer. Abstract and pp. 495–498: converted-wave sharpness and the possibility that the imaged cratonic discontinuity lies within thicker lithosphere.
Begin with a thermal null model. A half-space cooling model givesIf a thermal boundary corresponds to a fixed temperature , its depth isso it deepens as the square root of plate age. Test that prediction against independently determined seafloor ages, bathymetry and heat flux. An oceanic plate cooling model adds finite thickness and basal heat supply, allowing the old-age depth to approach a finite value. For continents, include radiogenic heating, crustal thickness, the history of continental rifting or tectonic thickening, and advective heating by magma or mantle flow. A cold, dry craton and a recently extended volcanic region should not share the same thermal profile.
Then calculate the observable consequences of competing mechanisms rather than merely assigning a boundary to a map:
- Use receiver functions from both P-to-S conversion and S-to-P conversion to constrain the depth and sharpness of a negative seismic velocity contrast. Check for crustal reverberations and whether the result changes with incident direction or frequency. Combine these with Rayleigh waves, Love waves and seismic tomography to constrain the broader shear-wave velocity profile.
- Measure seismic attenuation and seismic anisotropy. Elevated temperature, small amounts of melt and aligned minerals can all affect apparent seismic velocity, but predict different attenuation, polarization and directional patterns. Convert laboratory elastic and anelastic measurements into synthetic seismic observations at the relevant frequencies.
- Obtain magnetotelluric sounding constraints on electrical conductivity, together with surface heat flux. Connected melt or hydrated material can enhance electrical conductivity, but the interpretation depends on composition and connectivity. Joint thermal, seismic and electrical modelling is more discriminating than any single proxy.
- Use mantle xenoliths and erupted magmas to constrain pressure, temperature, water content, melt depletion and composition, recognizing that transport can alter a sample. Relate these observations to geodynamic modelling of mantle convection, slab flow, mantle plumes and lithospheric rejuvenation.
Compare models against the observed boundary depth and its sharpness, including uncertainty and resolution. An age–depth trend with matching heat flux favours thermal control; a sharp discontinuity that fails the thermal prediction but coincides with an electrical anomaly can support a melt- or hydration-related transition. Neither observation alone proves a unique cause. The spatially varying boundary is best understood as the result of thermal evolution interacting with composition, fluids and deformation history.
The star is near the southwestern end of the main fault slip patch, so a much longer part of the finite-source rupture propagates northeastward. For comparable distances, ground conditions and buildings, the northeastern site receives the stronger, shorter direct pulse; the southwestern site receives the weaker, longer direct shaking. This is rupture directivity.[ref]
What is Directivity by United States Geological Survey. Explanation of focusing by successive rupture elements
For a segment of length , rupture velocity and seismic wave speed , successive arrival times span approximatelyForward arrivals overlap and concentrate energy into a shorter pulse. Backward arrivals spread out. The supplied finite-source rupture is not perfectly unilateral, so the prediction concerns the dominant contribution. Seismic radiation patterns, seismic attenuation, sediment amplification and building response can alter the ranking of actual damage or total coda duration.
Recommend a three-dimensional multichannel seismic reflection survey, with enough areal aperture, offsets and repeated coverage to image the reservoir top, base, structure and possible leakage faults. A two-dimensional reconnaissance line can be cheaper but cannot map a three-dimensional closure reliably and is vulnerable to out-of-plane reflections. Use seismic migration to position dipping reflectors and faults; repeatable acquisition is desirable if later carbon capture and storage monitoring is intended.
A tuned marine marine air-gun array supplies broadband low-frequency seismic wave energy that can penetrate to . Its trade-offs include bubble oscillations, seismic source ghosts, environmental constraints and limited high-frequency resolution. Sparker seismic source and boomer seismic source sources can provide higher-frequency, high-resolution shallow imaging, but commonly lack the energy and low frequencies needed to make them the first choice for this target. Source energy, bandwidth and repeatability must be balanced against penetration and vertical seismic resolution, approximately ; at and this is about . Required resolution ultimately depends on the unknown reservoir thickness.
A towed hydrophone streamer efficiently records pressure over many channels while a vessel moves. It primarily records P-wave pressure in the water, with flow noise, tow-depth ghosts, acquisition footprint and access restrictions as limitations. Seabed multicomponent nodes use hydrophones and geophones: pressure plus three-component ground motion can separate wavefields and recover converted S-wave information, and nodes permit wide azimuths and repeat surveys. Their costs include deployment, retrieval, coupling and positioning. Direct S waves do not propagate through the water column. The roughly water depth also creates a strong short-period water-layer seismic multiple that must be treated in processing.
Receiver function 2026-10-25
A processed record that isolates relative arrival times and amplitudes of converted and reverberated seismic waves by reducing the common source and propagation response. P-to-S conversion and S-to-P conversion at contrasts in seismic velocity can constrain interface depths and sharpness. Interpretation requires a velocity model and checks for crustal multiples, dipping interfaces and seismic anisotropy.
Rupture velocity 2026-10-25
The speed at which the rupture front advances along a fault plane. It is distinct from the local particle slip velocity and the propagating seismic wave speeds. Length equals only for the stated approximately constant-speed propagation geometry.
Seismic source 2026-10-25
A natural or artificial generator of seismic waves. For an active survey its bandwidth, pulse duration, directivity and energy influence penetration, resolution and acquisition design.
Explains focusing of seismic waves along the direction of finite-source rupture propagation, with illustrated examples.