Summary. A numerically efficient global matrix approach to the solution of the wave equation in horizontally stratified environments is presented. The field in each layer is expressed as a superposition of the field produced by the sources within the layer and an unknown field satisfying the homogeneous wave equations, both expressed as integral representations in the horizontal wavenumber. The boundary conditions to be satisfied at each interface then yield a linear system of equations in the unknown wavefield amplitudes, to be satisfied at each horizontal wavenumber. As an alternative to the traditional propagator matrix approaches, the solution technique presented here yields both improved efficiency and versatility. Its global nature makes it well suited to problems involving many receivers in range as well as depth and to calculations of both stresses and particle velocities. The global solution technique is developed in close analogy to the finite element method, thereby reducing the number of arithmetic operations to a minimum and making the resulting computer code very efficient in terms of computation time. These features are illustrated by a number of numerical examples from both crustal and exploration seismology. 相似文献
We present a simplified analytic approach to the problem of the spiralling of a massive body orbiting within the dark halo of a dwarf galaxy. This dark halo is treated as the core region of a King distribution of dark matter particles, in consistency with the observational result of dwarf galaxies having solid-body rotation curves. Thus we derive a simple formula which provides a reliable and general first-order solution to the problem, totally analogous to the one corresponding to the dynamical friction problem in an isothermal halo. This analytic approach allows a clear handling and a transparent understanding of the physics and the scaling of the problem. A comparison with the isothermal case shows that in the core regions of a King sphere, dynamical friction proceeds at a different rate, and is sensitive to the total core radius. Thus, in principle, observable consequences may result. In order to illustrate the possible effects, we apply this formula to the spiralling of globular cluster orbits in dwarf galaxies, and show how present-day globular cluster systems could, in principle, be used to derive better limits on the structure of dark haloes around dwarf galaxies, when the observational situation improves. As a second application, we study the way a massive black hole population forming a fraction of these dark haloes would gradually concentrate towards the centre, with a consequent deformation of an originally solid-body rotation curve. This effect allows us to set limits on the fraction/mass of any massive black hole minority component of the dark haloes of dwarf galaxies. In essence, we take advantage of the way the global matter distribution fixes the local distribution function for the dark matter particles, which in turn determines the dynamical friction problem. 相似文献
Pore water chemistry (total dissolved CO2, NH4, NO3, NO2, PO4, Si(OH)4, Ca, Mg, Fe, Mn, SO4, H2S and F, and titration alkalinity), solid phase chemistry (Corg, Porg, CTOT, NTOT, F, SiOPAL and SII), and sediment characteristics (porosity, dry bulk density and formation factors) were determined on a centimeter-scale spacing in the upper 20–40 cm of sediments under intense upwelling areas on the Peru continental shelf. These data demonstrate that carbonate fluorapatite (CFA) is precipitating from pore waters in the upper few centimeters of a gelatinous mud with high organic carbon content (up to 20% Corg), very high porosity ( > 0.96 ml cm−3) and very low dry bulk density (< 0.1 g cm−3). Dissolved phosphate concentrations at the sediment-water interface range from 20 to 100 μM, orders of magnitude higher than bottom-water concentrations, and much higher than predicted from regeneration of organic matter. The mechanism of this interfacial phosphate release is unclear, but is apparently uncoupled from carbon and nitrogen metabolism and thus may be linked either to dissolution of fish debris or to the presence of a microbial mat in surficial sediments. Fluoride is incorporated into CFA by diffusion from the overlying seawater, and carbonate ions are provided from pore-water alkalinity. Magnesium concentrations in this reaction zone are not significantly different from those of seawater, suggesting that magnesium depletion is not a necessary prerequisite for CFA precipitation.
The environment of precipitation is interface-linked rather than driven by organic diagenesis of phosphorus deeper in the sediment. Most of the cores display a wide range of diagenetic characteristics below the immediate interfacial region, but almost all show the precipitation signature near the interface. This interface-linked early diagenetic porewater environment for the precipitation of CFA explains many of the geochemical characteristics of phosphorites and provides a “testable” model to compare the modern phosphogenic analog with ancient phosphorite deposits. Two of the cores display very high solid phase phosphorus and fluoride contents reflecting the presence of apparently modern pelletal apatites. 相似文献
Forestland divestment by vertically integrated forest products companies (VIFPCs) has spurred significant forest ownership change. To illuminate these dynamics, we examined land sales after VIFPC divestment, subsequent acquisitions of conserved land, and trends in recreational access in Wisconsin. We documented changes from 1999 to 2015 with analysis of tax program records and profiles of the state’s largest investor owners, Plum Creek and The Forestland Group. Nearly all VIFPC land was sold to investors, public agencies, or smaller corporate and private owners. State tax and land acquisition programs buffered these changes: 70% of large private ownership land was retained in the forest tax program and another 16% was acquired by public and nonprofit owners. More than one-quarter of divested forestland was placed in conservation easements. Nonetheless, large private forestland open to public recreation declined by almost one-third. Investor strategies and conservation programs shaped the provision of forest benefits during ownership transitions. 相似文献
Understanding the factors that influence voluntary conservation is critical for developing effective residential water conservation policy. Previous work drawing on Schwartz’s Norm Activation Model (NAM) has been useful to understand some of these factors. However, one’s relationship with the broader community impacted by consumptive decisions has often been overlooked. Similarly, scholars have emphasized the importance of contextual factors not captured in the NAM. In this study we hypothesize and test an augmented NAM that incorporates community attachment, along with contextual variables (sociodemographic and household infrastructure), to understand the factors that lead to the development of moral obligations to conserve water and their relationship with residential outdoor water use. Results indicate personal norms, defined as a moral obligation to conserve water, are negatively related to outdoor water use, and that community attachment is a predictor of personal norms. Contextual factors are found to have an influence on outdoor water use. 相似文献