N.J. Vlaar

The evolution of continental roots in numerical thermo-chemical mantle convection models including differentiation by partial melting

Abstract Incorporating upper mantle differentiation through decompression melting in a numerical mantle convection model, we demonstrate that a compositionally distinct root consisting of depleted peridotite can grow and remain stable during a long period of secular cooling. Our modeling results show that in a hot convecting mantle partial melting will produce a compositional layering in a relatively short time of about 50 Ma. Due to secular cooling mantle differentiation finally stops before 1 Ga. The resulting continental root remains stable on a billion year time scale due to the combined effects of its intrinsically lower density and temperature-dependent rheology. Two different parameterizations of the melting phase-diagram are used in the models. The results indicate that during the Archaean melting occurred on a significant scale in the deep regions of the upper mantle, at pressures in excess of 15 GPa. The compositional depths of continental roots extend to 400 km depending on the potential temperature and the type of phase-diagram parameterization used in the model. The results reveal a strong correlation between lateral variations of temperature and the thickness of the continental root. This shows that cold regions in cratons are stabilized by a thick depleted root.

Stability and growth of continental shields in mantle convection models including recurrent melt production

The long-term growth and stability of compositionally layered continental upper mantle has been investigated by numerical modelling. We present the first numerical model of a convecting mantle including differentiation through partial melting resulting in a stable compositionally layered continental upper mantle structure. This structure includes a continental root extending to a depth of about 200 km. The model covers the upper mantle including the crust and incorporates physical features important for the study of the continental upper mantle during secular cooling of the Earth since the Archaean. Among these features are: a partial melt generation mechanism allowing consistent recurrent melting, time-dependent non-uniform radiogenic heat production, and a temperature- and pressure-dependent rheology. The numerical results reveal a long-term growth mechanism of the continental compositional root. This mechanism operates through episodical injection of small diapiric upwellings from the deep layer of undepleted mantle into the continental root which consists of compositionally distinct depleted mantle material. Our modelling results show the layered continental structure to remain stable during at least 1.5 Ga. After this period mantle differentiation through partial melting ceases due to the prolonged secular cooling and small-scale instabilities set in through continental delamination. This stable period of 1.5 Ga is related to a number of limitations in our model. By improving on these limitations in the future this stable period will be extended to more realistic values.

Continental emergence and growth on a cooling earth

Isostasy considerations are connected to a 1-D model of mantle diVerentiation due to pressure release partial melting to obtain a model for the evolution of the relative sea level with respect to the continent during the earth secular cooling. In this context, a new mechanism is derived for the selective exhumation of exposed ancient cratons. The model results in a quantitative scenario for sea-level fall due to the changing thicknesses of the oceanic basaltic crust and its harzburgite residual layer as a function of falling mantle temperature. It is also shown that the buoyancy of the harzburgite root of a stabilized continental craton has an important eVect on sea-level and on the isostatic readjustment and exhumation of exposed continental surface during the earth’s secular cooling. The model does not depend on the usual assumption of constant continental freeboard and crustal thickness and its application is not restricted to the post-Archaean. It predicts large-scale continental emergence near the end of the Archaean and the early Proterozoic. This provides an explanation for reported late Archaean emergence and the subsequent formation of late Archaean cratonic platforms and early Proterozoic sedimentary basins. For a period of secular cooling of 3.8 Ga, corresponding to the length of the geological record, the model predicts a fall of the ocean floor of some 4 km or more. For a constant ocean depth, this implies a sea-level fall of the same magnitude. A formula is derived that allows for an increasing ocean depth due to either the changing ratio of continental with respect to oceanic area, or to a possible increase of the oceanic volume during the geological history. Increasing ocean depth results in a later emergence of submarine ancient geological formations compared to the case when ocean depth is constant. Selective exhumation is studied for the case of constant ocean depth. It is shown that for this case, early exposed continental crust can be exhumed to a lower crustal depth, which explains the relative vertical displacement of low-grade- with respect to high-grade terrain. Increasing ocean depth is not expected to result in diminished exhumation.

Numerical study of the origin and stability of chemically distinct reservoirs deep in earth’s mantle

Seismic tomography is providing mounting evidence for large scale compositional heterogeneity deep in Earths mantle; also, the diverse geochemical and isotopic signatures observed in oceanic basalts suggest that the mantle is not chemically homogeneous. Isotopic studies on Archean rocks indicate that mantle inhomogeneity may have existed for most of the Earths history. One important component may be recycled oceanic crust, residing at the base of the mantle. We investigate, by numerical modeling, if such reservoirs may have been formed in the early Earth, before plate tectonics (and subduction) were possible, and how they have survived-and evolved-since then. During Earths early evolution, thick basaltic crust may have sunk episodically into the mantle in short but vigorous diapiric resurfacing events. These sections of crust may have resided at the base of the mantle for very long times. Entrainment of material from the enriched reservoirs thus produced may account for enriched mantle and high-μ signatures in oceanic basalts, whereas deep subduction events may have shaped and replenished deep mantle reservoirs. Our modeling shows that (1) convective instabilities and resurfacing may have produced deep enriched mantle reservoirs before the era of plate tectonics; (2) such formation is qualitatively consistent with the geochemical record, which shows multiple distinct ocean island basalt sources; and (3) reservoirs thus produced may be stable for billions of years.

CONTINENTAL EVOLUTION AND ARCHAEO-SEA-LEVELS

The Archaean geodynamic regime is related to the process of mantle diapirism and creation of oceanic crust and lithosphere. Thick Archaean basaltic crust, by internal instability and convection and repeated melting could produce continental crust, which accumulated into proto-continents.

CHANGES IN THE EARTH'S ROTATION BY TECTONIC MOVEMENTS

Present-day true polar wander and the secular non-tidal acceleration of the earth are usually attributed to post-glacial rebound. In the models which relate this rebound to changes in rotation, the mantle is assumed to relax passively to the melted ice-loads. The lithosphere is usually modeled as a highly viscous upper layer in these models, having viscosities which exceed mantle viscosities by several orders of magnitude. We propose that lithospheric processes unrelated to post-glacial rebound and taking place under non-isostatic conditions are also able to induce non-negligible influences on the earths rotation. Examples of such processes are mountain building and erosion, foundering flexure of oceanic basins and lithospheric snapbacking resulting from detachment of subducting slabs. Lithospheric and crustal rheologies and intraplate-stresses are the dominant factors in these mechanisms, contrary to the mantle rheologies which are assumed to dominate the process of post-glacial rebound.

Vening Meinesz—A student of the Earth

The 1987 General Assembly of the International Union of Geodesy and Geophysics, Vancouver, Union Symposium Ul , “Quo Vadimus,” commemorated the 100th birthday of the Dutch geodesist and geophysicist Felix Andries Vening Meinesz. Vening Meinesz (1887–1966) (Figure 1) was born in a patrician family. His father was mayor of Rotterdam and later of Amsterdam. His mother descended from Dutch aristocracy. With such a background, a profession in science was not the most obvious ambition for a young man. Instead, a magistrates career would have been more customary.

Correction to “Changes in the Earth's rotation by tectonic movements”

Present-day true polar wander and the secular non-tidal acceleration of the earth are usually attributed to post-glacial rebound. In the models which relate this rebound to changes in rotation, the mantle is assumed to relax passively to the melted ice-loads. The lithosphere is usually modeled as a highly viscous upper layer in these models, having viscosities which exceed mantle viscosities by several orders of magnitude. We propose that lithospheric processes unrelated to post-glacial rebound and taking place under non-isostatic conditions are also able to induce non-negligible influences on the earths rotation. Examples of such processes are mountain building and erosion, foundering flexure of oceanic basins and lithospheric snapbacking resulting from detachment of subducting slabs. Lithospheric and crustal rheologies and intraplate-stresses are the dominant factors in these mechanisms, contrary to the mantle rheologies which are assumed to dominate the process of post-glacial rebound.