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Geophysical Research Letters 45, 6954–6962. Onshore–offshore seismic tomography constrains along-strike mantle structure; sections 3–4 distinguish observations from the proposed subslab mantle buoyancy mechanism.

Miles Bodmer coauthored onshore–offshore seismic tomography of the Cascadia subduction zone. Relative arrival delays reveal along-strike changes in mantle seismic velocity, which were compared with plate locking and episodic slip patterns.^[ref]

The study proposes that buoyant material beneath the slab changes forces transmitted to the plate interface. A low-velocity anomaly supports a thermal or compositional interpretation only through an additional material and dynamical model.

Homologous temperature and deformation. Homologous temperature is $\Theta =T/T_m$, with both temperatures in kelvin and $T_m$ the appropriate pressure- and composition-dependent melting temperature. It measures proximity to melting more meaningfully than an absolute temperature alone. Pressure, composition and water can alter both $T_m$ and the flow law, so equal $\Theta$ does not imply identical rheology.

A useful thermally activated material creep law iswith stress $\sigma$, grain size $d$, activation energy $E^{\ast }$ and activation volume $V^{\ast }$. Water activity can add another factor. Increasing temperature raises the rate at fixed stress when the activation enthalpy is positive, greatly lowering effective viscosity. Solid material can therefore flow on geological timescales well below melting.

Diffusion creep is approximately linear in stress: bulk-diffusion Nabarro-Herring creep has grain-size scaling $d^{-2}$, while grain-boundary Coble creep has $d^{-3}$ in their ideal regimes. Dislocation creep usually has a stress exponent greater than one and weaker grain-size dependence. Its effective viscosity scales as ${\eta }_{\mathrm{eff}}\propto {\sigma }^{1-n}$ at fixed temperature, so stronger forcing changes the apparent viscosity. At lower homologous temperature, brittle/frictional deformation or high-stress dislocation mechanisms can become important. The dominant process also depends on pressure and confinement; low temperature is not by itself a guarantee of brittle failure deep in a planet.

A deformation mechanism map compares the competing rates or strengths as functions of stress and homologous temperature at specified grain size, pressure and composition. Fine grains favour diffusion creep; larger stress favours nonlinear dislocation creep. There is no universal temperature dividing all these regimes. This sensitivity helps explain a strong outer lithosphere above a slowly flowing solid mantle and why modest thermal or water variations can reorganize deformation.

Determining the actual planform of mantle convection. The task is to infer the geometry of upwellings, downwellings and connecting flow in the present Earth, rather than to draw a preferred laboratory convection cell. Plate velocities and the distribution of subduction zones directly constrain surface motion and likely cold downwellings. Ridges, volcanism and hotspots provide further clues, but a ridge need not mark the centre of a deep plume, nor is every hotspot uniquely explained by one plume geometry.

Seismic tomography supplies three-dimensional velocity structure from body-wave travel times, waveforms and surface-wave dispersion. Fast slab-like structures can often be traced beneath subduction zones into the lower mantle. The 1997 global P-wave study reported long narrow lower-mantle structures connected with convergence and interpreted some slab segments as reaching the deepest mantle; that is evidence for deep circulation, not proof that every slab follows one route.^[ref] Temperature affects seismic speed, but composition, phase changes, water and anisotropy also matter, so velocity is not itself a flow map.

Gravity and the geoid constrain the spatially integrated density field and its induced boundary deformation. Dynamic topography supplies information about vertical stresses, after separating crustal structure, isostatic loads and thermal subsidence. Seismic anisotropy can constrain deformation and fabric orientations, subject to a mineral-physics relation between fabric and flow. Discontinuity topography and the mantle's heat budget provide further tests. Each observation has a different sensitivity to density, temperature and viscosity, making their combination more useful than any one image.

Compare these observations with three-dimensional geodynamic models that solve creeping-flow force balance, mass conservation and thermal transport, including buoyancy from temperature and composition, realistic plate motions, viscosity structure and phase boundaries. Predict seismic observables, gravity, geoid and dynamic topography from the same model, and assess data coverage and resolution before interpreting a feature. Whole-mantle exchange, impeded or deflected slabs near transition zones, and broad deep anomalies can coexist; the evidence does not require identical stacked or single-layer cells everywhere. The actual planform is constrained by joint seismic, gravitational, surface-kinematic and thermal evidence, with substantial nonuniqueness in its detailed flow and history.

Subduction zone segmentation is the observation that slab structure, fault slip and upper-plate behavior change along a margin; their boundaries need not coincide exactly. In Cascadia, it is documented by several independent measurements.

Onshore GNSS velocities, coastal leveling and tide gauges constrain along-strike changes in megathrust locking and interseismic uplift. Episodic tremor and slip has distinct recurrence and migration patterns, and its occurrence is lower in parts of central Oregon than farther north and south. Coastal geological records constrain differences in coseismic subsidence and the extents of past ruptures. Those observations sample different depths and time windows, so a present-day locking boundary should not automatically be declared a permanent earthquake rupture barrier. A 2014 analysis found persistent central-margin partial creep compatible with reduced uplift, reduced paleoseismic subsidence and lower cumulative slow slip.^[ref]

A physically specific hypothesis links these variations to subslab mantle buoyancy. An onshore–offshore seismic tomography study imaged low-velocity asthenosphere beneath northern and southern Cascadia, spatially associated with stronger plate locking and more tremor, with different central-margin structure. Warmer or partly molten asthenosphere can be less dense. Its buoyant traction can push upward against the slab and change contact stresses on the megathrust. Hotspot-influenced material is one proposed northern source; three-dimensional deformation near the Gorda region offers a southern upwelling mechanism.^[ref]

There are additional controls. The Siletzia basaltic basement beneath the overriding plate varies in extent and thickness. Its permeability and stiffness can affect fluid escape and fault stresses: poorly drained material can preserve high pore pressure, lower effective normal stress and promote creep. Along-strike changes in incoming plate age, slab dip, fracture-zone hydration, sediment supply and plate-edge stresses can also modify the thermal and frictional environment. Central-margin creep has specifically been associated with the distribution of Siletzia and inferred fluid trapping.^[ref]

How do we distinguish these causes? Offshore and onshore seismic arrays test the geometry of the anomalies; resolution and synthetic-recovery tests determine whether apparent segmentation could result from uneven station coverage. Seismic attenuation, anisotropy, magnetotelluric sounding, rock physics and heat-flow data help separate temperature, melt, water and composition. Gravity anomalies and seismic interfaces constrain basement and slab geometry; geodetic inversions test whether the inferred locking pattern persists across plausible fault geometries. Forward models then ask whether the measured density or pore-pressure contrasts produce stresses and slip patterns of the required size and sign.

Segmentation is observed robustly; a unique cause is not established by spatial correlation alone. Seismic velocity is not a direct density measurement, central creep and deep tremor are not the same phenomenon, and multiple coupled structures can reinforce one another. The buoyant-mantle and upper-plate fluid hypotheses are testable explanations rather than mutually exclusive certainties.

Using the preceding conductive estimate, warmer incoming crust is less dense. Interpret the given $\alpha =10^{-5}{\mathrm{K}}^{-1}$ as the volumetric coefficient entering $\delta \rho /\rho =-\alpha \Delta T$. The representative contrast givesFor ${\rho }_s\simeq 3000\mathrm{kg}{\mathrm{m}}^{-3}$, that is only about $10.5\mathrm{kg}{\mathrm{m}}^{-3}$. Let $L$ be the vertical thickness of the anomalous slab material in a compensated column. Its mass deficit per unit area is approximately ${\rho }_s\alpha \Delta {\overline{T}}_{c}L$. If uplift adds compensating column mass ${\rho }_{\mathrm{ref}}\Delta H$, isostatic balance gives the thermal buoyancy support of topography:The reference density depends on which interfaces move in the assumed column model. For approximately equal densities and a near-horizontal $7$ km crustal layer, this gives $\Delta H\simeq 25$ m; using ${\rho }_s=3000$ and ${\rho }_{\mathrm{ref}}=3300\mathrm{kg}{\mathrm{m}}^{-3}$ gives about $22$ m. A modest dip changes the vertical intersection to approximately $h_c/\cos \theta$ and does not change this order of magnitude. Different graphical flux choices and uncertain geometry change the number; they do not justify replacing a $7$ km crustal anomaly by a whole $100$ km lithospheric anomaly without additional information.

Thus the crust-only thermal contrast can supply tens of metres of isostatic relief, not kilometres. Its sign would favor greater thermal support from the warmer Juan de Fuca crust, so it cannot by itself explain why much of the central Andes stands higher than Cascadia. Crustal shortening and roots, whole-slab thermal structure, phase transformations, hydration, magmatic addition and dynamic stresses can dominate. If the stated expansion coefficient instead meant a linear solid expansion coefficient, the first-order density coefficient would be about three times larger; the estimate would still be well below kilometre-scale mountain relief.

To test isostasy, jointly measure surface topography, free-air gravity anomalies, Bouguer gravity anomalies and crustal thickness from receiver functions and seismic refraction surveys. An Airy isostasy interpretation predicts crustal roots beneath high terrain and a corresponding regional negative Bouguer signal; thermal or compositional compensation predicts different density structure. Compare gravity and geoid observations with compensated-column predictions over a range of wavelengths, and use gravity-topography admittance to test local versus flexural isostasy. A small long-wavelength free-air anomaly can support compensation, but is not a sufficient test by itself. GNSS uplift, leveling and dated marine or river terraces constrain transient or sustained vertical motion; seismic tomography and rock-density estimates constrain deeper buoyancy. Residual relief or gravity after these corrections may require dynamic topography or tectonic support. An actively deforming subduction margin need not satisfy instantaneous local isostatic equilibrium, even if the estimate above is a useful scale comparison.

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]

Begin with a thermal null model. A half-space cooling model givesIf a thermal boundary corresponds to a fixed temperature $T_{\ast }$, 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:

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.

Probably yes in connected fractures or transiently opened pore space, especially where a transform fault admits circulating seawater; a uniform water-filled porous layer several kilometres thick is not guaranteed. Porosity and permeability of a porous medium generally decrease as cracks close or seal, while ongoing faulting can reopen pathways. Fluid can occur at high pressure and temperature, including a supercritical state; it need not resemble cold surface water.

Several complementary tests address presence and origin:

No one anomaly uniquely identifies water. Seismic velocity can also reflect cracks, composition and temperature; electrical conductivity can reflect melt or conductive minerals. Serpentinization demonstrates incorporation of water into minerals, which must be distinguished from fluid currently occupying pore space. At an oceanic transform fault, an external seawater supply is the natural first hypothesis, but isotope ratios and chemical budgets can test contributions from deep fluids rather than presuming the source. A research example of coupled deformation and hydrothermal alteration is Mass transfer and fluid flow during detachment faulting and development of an oceanic core complex, Atlantis Massif by Chiara Boschi and others; a detachment system illustrates the methods without proving identical flow at every transform fault.

At a convergent margin, the incoming oceanic lithosphere is a chemically and mechanically layered package: sediments, oceanic crust and lithospheric mantle. Subduction does not deliver this whole package unchanged to one destination. Solids can be accreted, underplated, exhumed or recycled deeply, while released fluids and melts carry selected components to the overriding plate. The outcome depends on incoming composition and hydration, slab age, convergence rate, thermal structure, interface coupling and subsequent tectonic history.

The incoming material already contains a history. Sediments include terrigenous debris, biogenic carbonates, siliceous deposits, clay minerals, pore water and organic matter. Oceanic crust consists mainly of basalt, sheeted dikes and gabbro; hydrothermal alteration can add water, carbonates and mobile elements before subduction. Beneath it, residual peridotite forms the lithospheric mantle. Faulting at a spreading environment, a transform boundary or an outer-rise bending region can let seawater enter and cause serpentinization. The lithospheric mantle is not uniformly hydrated to its full thickness. Consequently, sediment thickness alone does not measure the incoming volatile inventory.

Sediments: separation starts near the trench. Compaction and increasing effective pressure expel pore fluids, which can escape through the forearc, transport dissolved constituents and influence pore pressure on the plate interface. Some sediments are scraped off into an accretionary prism, shortened by thrusts and retained in the upper plate. Others pass beneath the leading edge, then detach and undergo tectonic underplating beneath the forearc. Deeper underplated material may return to the surface during tectonic exhumation, preserving a record of burial and deformation. At a sediment-starved erosive margin, little prism may form, and tectonic erosion can entrain material from the overriding plate as well. Thus net continental gain and net continental loss are both possible; they can even alternate at one margin.

Sediments that remain attached to the slab undergo metamorphism, dehydration, and potentially decarbonation or carbonate dissolution. The released fluids can transport boron, barium, strontium, lead and other soluble constituents. Carbon can leave as dissolved species, remain in carbonate, or occur as reduced carbon depending on redox conditions and reaction history. Along sufficiently hot paths, sediment-derived melts or mixtures of sediment and altered rock can transfer material into the mantle wedge; buoyant mixed material may rise as a mélange diapir. Cold paths can instead retain more solid material and some volatile-bearing phases to greater depths. These are alternative reaction and transport pathways, not a single compulsory sequence. A carbon-budget study explicitly includes fluid dissolution, sediment diapirism and storage in the upper plate, showing why volcanic carbon dioxide alone cannot close the whole subduction carbon budget.^[ref]

Oceanic crust: metamorphic transformation and chemical filtration. Altered basalt and gabbro are progressively buried. Depending on their pressure-temperature paths and reaction kinetics, they can pass through blueschist facies or warmer assemblages and eventually form eclogite, dominated by garnet and omphacite. Eclogitization increases density and can strengthen negative slab buoyancy, but a kinetic delay can leave metastable rock. It is incorrect to assign every slab the same sequence or the same fixed depths for these changes.

During burial, breakdown of hydrous phases releases water-rich fluids; different mineral assemblages retain different quantities of water. The fluids migrate through or along the interface and into the mantle wedge, where they cause metasomatism and lower the solidus of peridotite. Flux melting of the mantle wedge generates much of the primary magma feeding a volcanic arc. This is different from saying that the entire descending oceanic crust melts beneath the arc. Most of its refractory mass can remain solid. Partial melting of oceanic crust is more plausible for unusually hot or young slabs, or other favorable thermal conditions, and produces a distinct crustal contribution.

The depth of dehydration is controlled by thermal structure and composition. Global thermal-petrological calculations, for example, predict more efficient deep water transport in old, fast, cold slabs than in hot ones, with substantial differences between volcanic crust, gabbro and hydrated peridotite. Such a calculation supports conditional deep retention; its modeled proportions should not be imposed on every margin.^[ref]

Mechanical detachment adds more branches. Upper-crustal slices, seamounts or oceanic plateaus may be accreted or underplated instead of continuing down the slab. A complete or partial ophiolite can be emplaced onto another plate by obduction in suitable convergence histories. Most intact oceanic crust is not saved this way. High-pressure fragments may be entrained in an interface channel or mélange and exhumed; their small preserved volume should not be mistaken for the dominant global mass flux. Magma generated after slab-derived transfer may also pond and crystallize beneath the upper crust by magmatic underplating, which is a different process from mechanical tectonic underplating of solid slices.

Lithospheric mantle: residual rock and a variable water carrier. Most incoming lithospheric mantle is depleted peridotite left after extraction of ridge melts. Its cold, dense, mechanically coherent portion contributes to slab pull and generally sinks with the plate. Hydrated portions contain serpentine and possibly other hydrous minerals. Breakdown of these phases releases water at conditions that depend on the thermal path, feeding further metasomatism of the mantle wedge and sometimes dehydration embrittlement. The latter is a proposed contributor to intermediate-depth earthquakes, not an exclusive explanation for all such events. Very cold paths may transfer some water onward in high-pressure hydrous phases or as hydrogen incorporated in nominally anhydrous minerals.

Do not confuse the incoming hydrated lithospheric mantle with newly serpentinized forearc mantle in the overriding plate. The latter receives slab-derived fluids and can temporarily store their water. Hydrated, relatively buoyant interface material can facilitate return flow and tectonic exhumation, while the colder deeper bulk of the lithospheric mantle continues down. Some peridotite may also be accreted or obducted with an ophiolite. These exchanges mean that even an exposed serpentinite requires structural and chemical context before it can be assigned to its original plate.

Deep recycling and eventual return. The residual eclogite, remaining sediments and lithospheric mantle can enter the deeper mantle. A slab can temporarily stagnate around the mantle transition zone or penetrate into the lower mantle, depending on buoyancy, phase transformations, geometry and mantle viscosity. Crustal material can remain as compositionally distinct domains, mix, or react with surrounding peridotite; it need not retain the near-surface eclogite assemblage indefinitely as pressure rises. Subsequent mantle convection can return recycled components toward spreading regions or mantle plumes, where partial melting incorporates them into new basalt. A primary study of Hawaiian basalt illustrates a specific model in which melts derived from recycled crust react with peridotite to form a pyroxenite source. It is an interpretation of combined chemical evidence, not a unique label attached to every enriched basalt.^[ref]

How the pathways can be observed. Seismic reflection profiles, drilling, wedge geometry and balanced structural sections constrain accretion, fluid escape and tectonic erosion. High-pressure metamorphism, mineral zoning, radiometric dating and pressure-temperature-time paths in exhumed rocks reveal burial, reaction and return. Their reconstructable histories are especially useful when deformation and fluid inclusions are linked to the dated mineral growth. Earthquake distributions, seismic tomography, seismic attenuation and electrical conductivity constrain the geometry and physical state of the slab and mantle wedge, although fluids, melts and temperature can produce nonunique signals.

Arc magmas carry complementary chemical evidence: relatively mobile barium, boron, lead or strontium can trace fluid-mediated transfer, whereas sediment-sensitive thorium and isotope ratios can help identify other contributions. Element mobility changes with fluid composition and pressure-temperature conditions, so no one element is an infallible tracer. Boron isotope ratios, radiogenic strontium isotope ratios and lead isotope ratios should be interpreted with measured incoming sediments and altered oceanic crust. Arc gases and forearc fluid discharge constrain volatile return; ocean-island basalts, mantle xenoliths and diamond inclusions provide possible evidence of deeper recycling. Each observation samples only part of the system.

For any element $X$, a useful control-volume statement isHere permanent accretion is counted outside the chosen reactive control volume, return includes fluid, melt and exhumed-solid exports, and transient underplating or reservoir growth contributes to storage until exported. For a different boundary choice, the terms must be regrouped consistently. The three incoming layers can have very different transfer efficiencies for bulk rock, water, carbon and a particular trace element. A small mass of escaping fluid can dominate an element's return while most of the solid slab continues into the deep mantle.

R. D. van der Hilst uses seismology to investigate Earth's interior. His teaching develops the connection between measured seismic arrivals and wave propagation, while his research includes global seismic tomography used to constrain mantle circulation.^[ref][ref]

The inferential step is important: a wave-speed anomaly is an observation-dependent model, and interpreting it as temperature, composition or flow requires additional physical assumptions.

The study of how rock composition, structure, pressure, temperature, fluids and deformation determine measurable physical properties such as density, elastic wave speeds, electrical conductivity and attenuation. These relations are needed to interpret seismic tomography and gravity anomalies; one measured property rarely determines a unique material state.

Seismic tomography infers a spatial model of elastic-wave propagation from many source-receiver observations. Uneven illumination, finite wavelength, parameter tradeoffs and regularization limit its resolution. A seismic-velocity image is not directly an image of temperature or flow velocity.

Along-strike changes in the structure, deformation, coupling or thermal state of a subduction zone. Segments inferred from megathrust locking, episodic tremor and slip, past earthquake ruptures, slab dip and seismic tomography need not have identical boundaries. A common spatial pattern can motivate a physical hypothesis, but does not alone prove a persistent rupture barrier or identify a unique cause.