Thesis (Sc.D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1979. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND AERONAUTICS. / Includes bibliographical references. / Sc.D.

RapidScat is a Ku-band scatterometer that was launched September 2014 and is currently operating on the International Space Station. It estimates ocean vector winds through accurate measurement of the normalized radar coefficient (σ0) of the ocean surface. In order to ensure the accuracy of σ0 measurements and consistency with previous Ku-band scatterometers, post-launch calibration and validation is necessary. Calibration and validation is performed using natural land targets, namely the Amazon and Congo rainforests, to complement calibration efforts over the ocean. The σ0 response of the targets is estimated with respect to viewing angle and time of year using previous Ku-band scatterometers. Taking advantage of the ISS orbit, the diurnal response of each target is estimated using RapidScat. Normalizing factors for incidence angle, azimuth angle, local time of day, and time of year are derived from these measured responses. RapidScat σ0 measurements are found to be consistent throughout its mission life with instrumental drift less than 0.3 dB. The effectiveness of slice balancing is evaluated and found to be highly dependent on the pitch of the ISS. Understanding of the diurnal backscatter response and incidence response allow comparison of RapidScat measurements with measurements from the QuikSCAT, NSCAT, and Oceansat-II scatterometers. RapidScat σ0 is found to be biased low compared to QuikSCAT by 0.1--0.3 dB.

In the further development of the string theory, one needs to understand 3 or 4-dimensional volume minimizing subvarieties in 7 or 8-dimensional manifolds. As one example, one would like to understand 4-dimensional volume minimizing cycles in a torus T8. The Cayley calibration form can be used to find all volume minimizing cycles in each homology class of T8. In order to apply the Cayley form to 8-dimensional tori, we need to understand the finite symmetry of the Cayley form, which has a continuous symmetry group Spin(7). We have found one finite symmetry group of order eight generated by three elements. We have also studied the symmetry groups of tori based on the results of H.S.M. Coxeter, and have had a simple description of the four crystallographic groups in O(8). They can be used to classify all finite symmetry groups of the Cayley form.

Near infrared spectroscopy (NIS) has been used routinely for many years for the measurement of grain protein and moisture in plant breeding programmes. Investigation as to the applicability of NIS to the identification from a barley breeding programme of the progeny with high malting quality potential was carried out over several harvests. The project concentrated on the determination of correlations between Hot Water Extract, Total Soluble Nitrogen, and Free Alpha Amino Nitrogen contents of worts (the extract of malt used to make beer) and NIR transmission data using the multivariate method of partial least squares regression. The correlation coefficients, for both calibration and prediction data sets, were significant and the standard error of prediction was similar to that obtained in the standard methods in the first year, but were unsatisfactory in the second. The instrument chosen for the study gave satisfactory correlations for the purpose of selection in the intermediate generations of the breeding programme with errors similar to the analytical methods, as long as a very wide range of calibration samples were collected from more than one harvest. It was shown that the use of an NIR spectrophotometer as a selection tool for malting quality within a barley breeding programme would not be sufficient to justify investment in this type of instrument for this purpose alone. / Master of Science (Hons)

Wayne B. Nottingham, Franklin L. Torney, Jr. / "October 25, 1960." / Army Signal Corps Contract DA36-039-sc-78108. Dept. of the Army Task 3-99-20-001 and Project 3-99-00-000.

We report on experiments with a mobile robot using one vision process (forward motion vision) to calibrate another (stereo vision) without resorting to any external units of measurement. Both are calibrated to a velocity dependent coordinate system which is natural to the task of obstacle avoidance. The foundations of these algorithms, in a world of perfect measurement, are quite elementary. The contribution of this work is to make them noise tolerant while remaining simple computationally. Both the algorithms and the calibration procedure are easy to implement and have shallow computational depth, making them (1) run at reasonable speed on moderate uni-processors, (2) appear practical to run continuously, maintaining an up-to-the-second calibration on a mobile robot, and (3) appear to be good candidates for massively parallel implementations.

It is commonly assumed that the goal of stereovision is computing explicit 3D scene reconstructions. We show that very accurate camera calibration is needed to support this, and that such accurate calibration is difficult to achieve and maintain. We argue that for tasks like recognition, figure/ground separation is more important than 3D depth reconstruction, and demonstrate a stereo algorithm that supports figure/ground separation without 3D reconstruction.

Permeability estimation in tight and shale reservoirs is challenging because little or no flow will occur without hydraulic fracture stimulation. In the pressure falloff following a fracture calibration test (FCT), radial flow after the fracture closure can be used to estimate the reservoir permeability. However, for very low permeability, the time to reach radial flow can exceed any practical duration. This study shows how to use the reservoir pressure to estimate the maximum reservoir permeability when radial flow is missing in the after-closure response. The approach is straightforward and can also be used for buildup tests. It applies whenever the well completion geometry permits radial flow before the pressure response encounters a real well drainage limits. Recent developments have blurred the boundary between fracture calibration test analysis and classic pressure transient analysis. Adapting the log-log diagnostic plot representation to the FCT analysis has made it possible to perform before and after closure analysis on the same diagnostic plot. This paper also proposes a method for diagnosing abnormal leakoff behavior using the log-log diagnostic plot as an alternative method for the traditional G-function plot. The results show the relationship between reservoir permeability and pressure can be used effectively for both estimation of the permeability upper bound when there is no apparent radial flow and for confirming the permeability estimated from apparent late time radial flow. Numerous field examples illustrate this simple and powerful insight.

With the development of various derivative instruments and index products, commodities have become a distinct asset class which can offer enhanced diversification benefits to the traditional asset allocation of stocks and bonds. In this thesis, we begin by discussing some of the key properties of commodity markets which distinguish them from bond and stock markets. Then, we consider the informational role of commodity futures markets. Since commodity prices exhibit mean-reverting behaviour, we will also review several mean-reversion models which are commonly used to capture and describe the dynamics of commodity prices. In Chapter 4, we focus on discussing a two-factor mean-reverting model proposed by Hikspoors and Jaimungal, as a means of providing additional degree of randomness to the long-run mean level. They have also suggested a method to extract the implied market prices of risk, after estimating both the risk-neutral and real-world parameters from the calibration procedure. Given the usefulness of this model, we are motivated to investigate the robustness of this calibration process by applying the methodology to simulated data. The capability to produce stable and accurate parameter estimates will be assessed by selecting various initial guesses for the optimization process. Our results show that the calibration method had a lot of difficulties in estimating the volatility and correlation parameters of the model. Moreover, we demonstrate that multiple solutions obtained from the calibration process would lead to model uncertainty in extracting the implied market prices of risk. Finally, by using historical crude oil data from the same time period, we can compare our calibration results with those obtained by Hikspoors and Jaimungal.

Concerns regarding climate change have brought about an increased interest in cold region hydrology, leading to the formation of the IP3 research network. This work is part of the IP3 Network, which has the overall goal to evaluate and demonstrate improved predictions of hydrological and atmospheric fields for cold regions. As such this thesis involves a series of calibration and validation experiments on the MESH hydrological model (used by IP3 for predictions) with two cold region case studies. The first case study is the very well instrumented Reynolds Creek Experimental Watershed in Idaho, USA and the second case study is the Wolf Creek watershed in the Yukon Territory. As the MESH model is still in the development phase, a critical component of model development is a thorough analysis of model setup and performance. One intention of this research is to provide feedback for future development of the MESH hydrological model. The Reynolds Creek site was modeled as part of this thesis work. This site was chosen based on the long term, highly distributed and detailed data set. The second site, Wolf Creek, was used for a simplified case study. Models of both case study sites were calibrated and validated to carefully evaluate model performance. Reynolds Creek was calibrated as a single objective problem as well as multi-objective problem using snow water equivalent data and streamflow data for multiple sites. The hydrological simulations for Wolf Creek were fair; further calibration effort and a more detailed examination of the model setup would have likely produced better results. Calibration and validation of Reynolds Creek produced very good results for streamflow and snow water equivalent at multiple sites though out the watershed. Calibrating streamflow generated a very different optimal parameter set compared to calibrating snow water equivalent or calibrating to both snow water equivalent and streamflow in a multi-objective framework. A weighted average multi-objective approach for simultaneously calibrating to snow water equivalent and streamflow can be effective as it yields a reasonable solution that improves the single objective snow water equivalent results without degrading the single objective streamflow results.