Engineering topics

Richter, F. M.

Publications and source records attributed to Richter, F. M..

5 records

NASA NTRS1990

Melt migration in a silicate liquid-olivine system - An experimental test of compaction theory

An experimentally derived melt migration profile is compared with those obtained from compaction theory. A couple is prepared in which a source-for-melt (a disk composed of a silicate glass and olivine) was placed in contact with a sink-for-melt (a disk of polycrystalline olivine) in order to induce melt migration under laboratory conditions. It is noted that melt infiltrates into the sink disk along triple junctions driven by capillary forces. In order to analyze the melt migration profile in terms of compaction theory, the equations developed by McKenzie (1984) to describe porous flow of a liquid in a deformable matrix were modified. The bouyancy force term is replaced with a capillary force term and governing equations are then solved numerically with the initial boundary conditions specified by the experimental design. Also, it is determined that compaction theory provides a good description of the experimental results provided that the permeability of these solid-liquid materials increases linearly with increasing liquid fraction.

Riley, G. N., Jr.↗

NASA NTRS1985

Models for the Archean thermal regime

Different regonalized thermal evolution models are presented. The models are used to determine the concentration of heat-producing elements such as U, Th, and K, which are required to have a present-day mantle potential temperature of 1350 C starting from a high temperature of 2000 C, 4.5 billion years ago and to calculate the thermal structure of the continental lithosphere through time. The parameterized equations for the various convective regimes considered, are discussed. It is shown that only the models with layered mantle convection and a continental lithosphere of fixed thickness (greater than or equal to 175 km) are able to satisfy the constraints of some part of the lithosphere being in the diamond stability field during the Archean and an interior temperature greater than 1600 C during the Archean to account for the high-magnesian komatiites of that period.

Richter, F. M.↗

NASA NTRS1983

Heat transfer and horizontally averaged temperature of convection with large viscosity variations

It is pointed out that the understanding of convection in large-Prandtl-number Boussinesq fluids with uniform properties and contained in simple geometries is virtually complete. Present efforts are typically directed towards relaxing some of the original assumptions by going to lower Prandtl number, more complicated geometries, variable material properties, or introducing new dynamical processes such as the Lorentz forces. A description is given of experiments which are concerned with the effect on convection of relaxing the assumption of a uniform viscosity. The reported experiments were designed to measure both the horizontally averaged temperature as a function of depth and the heat transfer of convection over a range of viscosity variations up to 100,000.

Richter, F. M.↗

NASA NTRS1982

A parameterized model for the evolution of isotopic heterogeneities in a convecting system

It is experimentally shown that, although steady convective flows are efficient means to heterogeneity within a single cell, they do not produce a dispersal of heterogeneous material over scales that are large by comparison to their depth, which requires that the flow be time-dependent on a time scale comparable to the overturn time. Convection in an internally heated layer does possess this property, and numerical solutions are presently used to study the way in which it disperses a set of neutrally bouyant particles initially confined to a small space. The derived concept of effective diffusivity is applied to the isotopic evolution of the Sm-Nd and Rb-Sr systems, with spatial variations generated by horizontal variations in degree of melting 1.8 billion years ago.

Richter, F. M.↗

NASA NTRS1979

Convection, composition, and the thermal state of the lower mantle

A thermal model for the lower mantle is presented, which is constructed from the petrologically derived estimates of the temperature in the transition zone and from an adiabat based on the thermal properties of MgO and SiO2 measured at high pressures. Superadiabatic contributions to the geotherm through the lower mantle are negligibly small. A thermal boundary layer is required at the base of the mantle in order to satisfy an estimate of the lowest possible temperature in the core. It is suggested that a thermal boundary layer is associated with a chemical discontinuity either at the top of the lower mantle or near its base.

Jeanloz, R.↗