KREEP basalt petrogenesis: Insights from 15434,181

Returned lunar KREEP basalts originated through impact processes or endogenous melting of the lunar interior. Various methods have been used to distinguish between these two origins, with varying degrees of success. Apollo 15 KREEP basalts are generally considered to be endogenous melts of the lunar interior. For example, sample 15434,181 is reported to have formed by a two‐stage cooling process, with large orthopyroxene (Opx) phenocrysts forming first and eventually cocrystalizing with smaller plagioclase crystals. However, major and trace element analyses of Opx and plagioclase coupled with calculated equilibrium liquids are inconsistent with the large orthopyroxenes being a phenocryst phase. Equilibrium liquid rare earth element (REE) profiles are enriched relative to the whole rock (WR) composition, inconsistent with Opx being an early crystallizing phase, and these are distinct from the plagioclase REE equilibrium liquids. Fractional crystallization modeling using the Opx equilibrium liquids as a parental composition cannot reproduce the WR values even with crystallization of late‐stage phosphates and zircon. This work concludes that instead of being a phenocryst phase, the large Opx crystals are actually xenocrysts that were subsequently affected by pyroxene overgrowths that formed intergrowths with cocrystallizing plagioclase.     

Topography of Martian central volcanoes

New topographic maps of six large central volcanoes on Mars are presented and discussed. These features are Olympus Mons, Elysium Mons, Albor Tholus, Ceraunius Tholus, Uranius Tholus, and Uranius Patera. Olympus Mons has the general form of a terrestrial basaltic shield constructed almost entirely from lava flows; but with 20 to 23 km of relief it is far larger. Flank slopes average about 4°. A nominal density calculated from the shield volume and the local free-air gravity anomaly is so high that anomalously dense lithosphere probably underlies the shield. Uranius Patera is a similar feature of much lower present relief, about 2 km, but its lower flanks have been buried by later lava flood deposits. Elysium Mons has about 13 km of local relief and average slopes of 4.4°, not significantly steeper than those of Olympus Mons. Its upper flank slopes are significantly steeper than those of Olympus Mons. We suggest Elysium Mons is a shield volcano modified and steepened by a terminal phase of mixed volcanic activity. Alternatively, the volcano may be a composite cone. Albor Tholus is a partially buried 3-km-tall shield-like construct. Ceranius and Uranius Tholus are steeper cone-like features with relief of about 6 and 2 km, respectively. Slopes are within the normal range for terrestrial basaltic shields, however, and topographic and morphologic data indicate burial of lower flanks by plains forming lavas. These cones may be lava shield constructs modified by a terminal stage of explosive activity which created striking radial patterns of flank channels. Differences among these six volcanoes in flank slopes and surface morphology may be primarily consequences of different terminal phases of volcanic activity, which added little to the volume of any construct, and burial of shallow lower flanks by later geologic events. Additional topographic data for Olympus Mons, Arsia Mons, and Hadriaca Patera are described. The digital techniques used to extract topographiv data from Viking Orbiter stereo images are also described.     

Bayside beach dynamics: Implications for simulation modeling on eroding sheltered tidal beaches

The purpose of this paper is to compare the differences between oceanside and bayside beaches. Field data on twelve beach process and response variables were gathered from February 1972 to April 1973 on four sample beaches at Sandy Hook Spit, New Jersey. Linear correlation is used to identify the most influential process variables and determine how the interrelationships among variables differ on each beach. The analysis confirms the importance of breaker height, wave steepness and wind direction on beach response. The correlation of beach processes with their associated responses are higher on the oceanside than on the bayside beaches, indicating that local, non-storm waves may be relatively insignificant in effecting substantial beach modification.Despite the greater magnitude of processes and beach change on the oceanside sites, erosion was more persistent on the bayside during the period of study. The frequent occurrence of short, steep erosional waves on the bayside prevented onshore movement of sediment between storms, resulting in a permanent loss of material from the beach face and dune. On the oceanside, long, low, depositional waves occurring between storms replenished most of the material carried away during the storm. This fresh beach material acted as a buffer against the erosion of the dunes during the following storm.The dominant bay waves are locally generated and may therefore be simulated using meteorological variables. However, the low wave energies on the bayside sites result in an increase in the relative importance of tidal currents, wind-induced currents, and refracted ocean swell. These factors complicate the application of simplified wave process—beach response models to the study of beaches exposed to these effects.     

Über periodische Bahnen im eingeschränkten Dreikörperproblem und in der Nähe der Kommensurabilitäten vom Typus (k + 1)/k

The authors, collaborating during the winter 1966/67, performed numerical investigations on form and character of periodic solutions of the restricted problem of three bodies in the Sun–Jupiter-System and in the neighbourhood of the resonances of the (k + 1)/k type. The principal part of these computations which were achieved using a fast IBM-computer refers to the cases 2/1 (Hecuba-gap) and 3/2 (Hilda-group). The results gave new insight into the genealogy of periodic orbits in the regions which do not contain solutions of Poincaré's first genre. Moreover, L. Carpenter tried to develop an analytical theory (here not explicitely described) which leads to convergent trigonometric series for the coordinates of periodic orbits with restricted eccentricities, using the method of general perturbations in rectangular coordinates recently published by P. Musen and himself.     

Experimental studies on the formation of inclusions in plagioclases from metatonalites,Hohe Tauern,Austria (lower temperature stability limit of the paragenesis anorthite plus potash feldspar)

New experimental data are presented at stability conditions of paragenesis in the system K₂O-CaO-Al₂O₃-SiO₂-H₂O. These results are used to estimate the pressure temperature conditions under which minute inclusions, mostly consisting of zoisite/clinozoisite and muscovite, have crystallized in calcic plagioclases from metatonalites and metadiorites (Hohe Tauern, Austria). In the pressure region 1.5–8 kb the following reactions were observed: zoisite+muscovite+quartz=anorthite+potash feldspar+water (1) grossularite+muscovite+quartz=anorthite+potash feldspar+water (2) zoisite+quartz=anorthite+grossularite+water (3) natural plagioclase with its inclusions (zoisite/clinozoisite and muscovite) (4) =more basic plagioclase without inclusions.In order to determine the curves of reaction (1), (2) and (3), runs were made in hydrothermal bombs using synthetic phases crystallized from gels as starting materials. The reaction curves (1), (2) and (3) intersect at an invariant point at 7.25±0.5 kb and 685±20° C. In runs to define the reaction (4), it could be demonstrated that the inclusion minerals zoisite/ clinozoisite and muscovite became instable at slightly lower temperatures than those occurring in reaction (1). These facts illustrate that the reaction curve (1), found in the pure system, gives possible information about the pressure temperature conditions during the formation of the inclusions.     

Sediment transport in an alpine river before and after a dambreak flood event

Fluvial sediment transport in the high mountain Partnach River (Reintal Valley, Bavarian Alps) was investigated during a 10‐year observation period (2001–2010). During this period, the downstream reach of the Partnach River was decoupled from upstream sediment throughput by a rockslide deposit until 2005. In August 2005, the dam was partially breached during a flood event resulting in renewed sediment coupling between the upstream and downstream reaches. A comparison of pre‐ and post‐dambreak river sediment load data showed that the dissolved load dominated sediment transport prior to August 2005 with a switch to the dominance of bedload transport, post‐dambreak. The higher post‐dambreak bedload rates were particularly evident during the first years after the dam failure due to significant coarse material coupling between active sediment sources (undercut banks/talus cones) and the Partnach River. In the last years of the observation period (2009 and 2010) the dominance of dissolved load transport was re‐established. Copyright © 2011 John Wiley & Sons, Ltd.     

Incorporation of conceptual and parametric uncertainty into radionuclide flux estimates from a fractured granite rock mass

Detailed numerical flow and radionuclide simulations are used to predict the flux of radionuclides from three underground nuclear tests located in the Climax granite stock on the Nevada Test Site. The numerical modeling approach consists of both a regional-scale and local-scale flow model. The regional-scale model incorporates conceptual model uncertainty through the inclusion of five models of hydrostratigraphy and five models describing recharge processes for a total of 25 hydrostratigraphic–recharge combinations. Uncertainty from each of the 25 models is propagated to the local-scale model through constant head boundary conditions that transfer hydraulic gradients and flow patterns from each of the model alternatives in the vicinity of the Climax stock, a fluid flux calibration target, and model weights that describe the plausibility of each conceptual model. The local-scale model utilizes an upscaled discrete fracture network methodology where fluid flow and radionuclides are restricted to an interconnected network of fracture zones mapped onto a continuum grid. Standard Monte Carlo techniques are used to generate 200 random fracture zone networks for each of the 25 conceptual models for a total of 5,000 local-scale flow and transport realizations. Parameters of the fracture zone networks are based on statistical analysis of site-specific fracture data, with the exclusion of fracture density, which was calibrated to match the amount of fluid flux simulated through the Climax stock by the regional-scale models. Radionuclide transport is simulated according to a random walk particle method that tracks particle trajectories through the fracture continuum flow fields according to advection, dispersion and diffusional mass exchange between fractures and matrix. The breakthrough of a conservative radionuclide with a long half-life is used to evaluate the influence of conceptual and parametric uncertainty on radionuclide mass flux estimates. The fluid flux calibration target was found to correlate with fracture density, and particle breakthroughs were generally found to increase with increases in fracture density. Boundary conditions extrapolated from the regional-scale model exerted a secondary influence on radionuclide breakthrough for models with equal fracture density. The incorporation of weights into radionuclide flux estimates resulted in both noise about the original (unweighted) mass flux curves and decreases in the variance and expected value of radionuclide mass flux.     

Detection of terracettes in semi-arid rangelands using Fourier-based image analysis of very-high-resolution satellite imagery

Terracettes are repeating step-like microtopographic features roughly following the contours of hillslopes that are often associated with livestock tracks. These common features in many semi-arid rangelands have been shown to alter soil moisture, slope stability, sediment transport, infiltration rates and coincident vegetation patterns. The spatial extent and distribution of terracettes is currently unknown and therefore their landscape-scale hydrological influence is absent in modelling and land management decision making. When viewed in uncalibrated very-high-resolution satellite imagery, terracettes appear as repetitious parallel lines within a specific frequency range. Here we used the two-dimensional discrete Fourier transform to identify terracettes at three test sites in the Inland Pacific Northwest, USA. We created an automated rule-based classification of terracetted sites based on spatial frequency, orientation, slope angle and land-use class. Results show a detection accuracy of 77% based on an optimized spatial frequencies search window between 0.3 and 0.7 m⁻¹. Terracette orientation did not contribute significantly to detection accuracy because orientations varied ±50° from digital elevation model-derived aspects. We found terracettes occurred predominantly on north-facing slopes at our test sites, although this estimate may be exaggerated by the timing of image capture. We feel that the method developed in this paper provides a way forward to map terracettes at large scales and enable new insights into the functions of terracettes in the landscape. © 2020 John Wiley & Sons, Ltd.