Scale-recursive assimilation of precipitation data

This paper presents a new statistical method for assimilating precipitation data from different sensors operating over a range of scales. The technique is based on a scale-recursive estimation algorithm which is computationally efficient and able to account for the nested spatial structure of precipitation fields. The version of the algorithm described here relies on a static multiplicative cascade model which relates rainrates at different scales. Bayesian estimation techniques are used to condition rainrate estimates on measurements. The conditioning process is carried out recursively in two sweeps: first from fine to coarse scales and then from coarse to fine scales. The complete estimation algorithm is similar to a fixed interval smoother although it processes data over scale rather than time. We use this algorithm to assimilate radar and satellite microwave data collected during the tropical ocean–global atmosphere coupled ocean–atmosphere response experiment (TOGA-COARE). The resulting rainrate estimates reproduce withheld radar measurements to within the level of accuracy predicted by the assimilation algorithm.     

High-arctic fan delta recording deglaciation and environment disequilibrium

Study of a Holocene fan delta in Adventfjorden, Spitsbergen, provides new insight into the nature of high‐arctic coastal sedimentation and deglaciation dynamics. The fjord‐side, gravelly Gilbert‐type fan delta began to form at the local marine limit c. 10 ka BP, supplied seasonally with sediment by meltwater from a cirque glacier left behind by the retreating Late Weichselian ice sheet. Relative sea level had fallen by 63 m, and the fan delta reached a radius of c. 1 km by 6 ka BP, when the relic glacier eventually melted down and fluvial activity declined. A strong influence of marine processes is recorded by the fan‐delta foreset facies, overlain by alluvium. Supplied with sediment by longshore drift, the fan‐delta front continued to advance at a lower rate, while relative sea level fell further by 5 m and ceased to fall around 5·4 ka BP. The following transgression was countered by longshore sediment supply until 4·7 ka BP, when the delta‐front beach aggraded and a spit platform began to climb onto the delta plain, recording a relative sea‐level rise of 4 m. The subsequent regression was initially non‐depositional, with the relative sea level falling by > 4 m in 200 years, outpacing fluvial supply, and the re‐emerging fan delta being swept by longshore currents. A regressive beach began to form c. 4·3 ka BP, while relative sea level gradually reached its present‐day position. The feeder braided stream was wandering across the delta plain during this time, but incised once the fan‐delta shoreline began to retreat by wave erosion and turned into a receding modern escarpment. The stream has since been adjusting its profile by gradually eroding the pre‐existing alluvium and distributing the coarse sediment supplied from catchment slopes by debrisflows and snow avalanches. Modern snowflows have also spread debris onto the abandoned fan surface. The erosional retreat of the fan delta has been accompanied by lateral shoreline accretion on both its sides. The study has important regional implications and demonstrates that Holocene fan deltas can provide a valuable record of the deglaciation history in high‐arctic terrains, where glacial deposits are scarcely preserved on land.     

Propagation of slip along frictional surfaces

The propagation of slip along a pre-existing frictional plane is formulated for the faults containing interstitial fluid. When normal and shear stresses satisfy the effective frictional law, a frictional sliding occurs stably or unstably, depending on the inhomogeneities of the surface. For a slip to rapidly sweep the surface, the pore pressure of fluid must exceed the critical value that is related to the physical or geometrical irregularities of the surface. If this condition fails, stable sliding is expected, analogous to a seismic fault creep. This prediction makes the role of water in seismic faulting more clear.     

Interionic repulsive force and compressibility of ions

The compressibility of an individual ion is examined, in comparison with a known set of data for the alkali halides. A simple extrapolation of ionic radius to high pressure is not acceptable, because the pressure derivative of ionic radius changes for different salts. According to the classical concept of an elastic ion, the repulsive potential energy between the ions i and j is specified by the nature of each ion as:

$\text{(ρ}{}_{\mathrm{i}}\text{+ ρ}{}_{\mathrm{j}}\text{) exp[}\text{(ρ}{}_{\mathrm{i}}\text{+ ρ}{}_{\mathrm{j}}\text{? r)}\text{(ρ}{}_{\mathrm{i}}\text{+ ρ}{}_{\mathrm{j}}\text{)}\text{]}$

as a function of the interionic distance r. In this expression, q_i and ρ_i are the ionic radius and ionic compressibility, respectively, in a suitably modified meaning. Such a form of the repulsive potential fits well to the data of lattice constants and bulk moduli. The parameters q_i and ρ_i are evaluated for alkali and halogen ions, and an anion turns out to be much more compressible than a cation. The present treatment may be usefully applied to the minerals in the Earth's mantle, which contain only a few major ions.     

The eastern and western ends of Nankai Trough: results of Box 5 and Box 7 Kaiko survey

Seabeam mapping and detailed geophysical surveying have been conducted over the Nankai Trough where the fossil Shikoku Ridge is subducted below southwest Japan. The geometry of the oceanic lithosphere bending under the margin as well as the three-dimensional structure of the accretionary prism have thus been determined in detail. Three 350° trending, probably transform faults have been identified in the area of the survey. They do not extend further south and appear to be limited to the last phase of spreading within the Shikoku Basin, probably between 15 and 12 Ma; this last phase of spreading would then have been accompanied by a sharp change in spreading direction from east-west to N 350°. The two eastern transform faults limit a zone of reduced Nankai trench fill of turbidites opposite to the Tosa Bae Embayment. This observation suggests that the Tosa Bae Embayment actually results from this reduced supply of trench fill to the imbricate thrusting process. The accretionary prism can be divided into three different tectonic provinces separated by continuous mappable thrusts, the Lower and Upper Main Thrusts. Surface shortening is limited to the lower accretionary prism south of the Upper Main Thrust (UMT) whereas uplift with possible extension characterizes the prism above the UMT. Deformation, due to the relative plate motion, mostly affects the lower accretionary prism south of the UMT.     

Late Cretaceous–Cenozoic evolution of the North German Basin—results from 3-D geodynamic modelling

The Late Cretaceous–Cenozoic evolution of the North German Basin has been investigated by 3-D thermomechanical finite element modelling. The model solves the equations of motion of an elasto-visco-plastic continuum representing the continental lithosphere. It includes the variations of stress in time and space, the thermal evolution, surface processes and variations in global sea level.The North German Basin became inverted in the Late Cretaceous–Early Cenozoic. The inversion was most intense in the southern part of the basin, i.e. in the Lower Saxony Basin, the Flechtingen High and the Harz. The lower crustal properties vary across the North German Basin. North of the Elbe Line, the lower crust is dense and has high seismic velocity compared to the lower crust south of the Elbe Line. The lower crust with high density and high velocity is assumed to be strong. Lateral variations in lithospheric strength also arise from lateral variations in Moho depth. In areas where the Moho is deep, the upper mantle is warm and the lithosphere is thereby relatively weak.Compression of the lithosphere causes shortening, thickening and surface uplift of relatively weak areas. Tectonic inversion occurs as zones of preexisting weakness are shortened and thickened in compression. Contemporaneously, the margins of the weak zone subside. Cenozoic subsidence of the northern part of the North German Basin is explained as a combination of thermal subsidence and a small amount of deformation and surface uplift during compression of the stronger crust in the north.The modelled deformation patterns and resulting sediment isopachs correlate with observations from the area. This verifies the usefulness and importance of thermomechanical models in the investigation of intraplate sedimentary basin formation.     

Tectonics of the Virgin Islands Basin,north eastern Caribbean

The tectonics of the Virgin Islands Basin are controlled by the plate boundary between the Puerto Rico‐Virgin Islands Microplate and the stable part of the Caribbean Plate. Several contradicting theories about the formation and development of this basin have previously been proposed. As part of the Danish Galathea 3 expedition, extensive marine geological investigations of the basin were carried out in March 2007 including sediment coring and acquisition of multi‐beam and two‐dimensional seismic data. This paper represents a summary of the key observations from the multi‐beam and the seismic data set. The interpretation of these observations leads to the proposition of a tectonic model for the Virgin Islands Basin. The model consists of N–S to NW–SE directed extension combined with E‐W trending sinistral strike‐slip and the new structural evidence from the Virgin Islands Basin is entirely consistent with the most recently published GPS data.