Algert, James H., authorColorado State University, publisher2019-09-172019-09-171965-06https://hdl.handle.net/10217/197897CER65JHA26.June 1965.Includes bibliographical references (pages 27-28).In partial fulfillment of the requirements for the Degree of Master of Science in Civil Engineering.The techniques of correlation and spectral density analysis of random processes were applied to the problem of describing and predicting dune profiles in a sand bed channel. The data analyzed were taken from three sources: a 0.4-ft flume for this study; a 8-ft flume for a previous study; a conveyance channel on the Rio Grande near Bernardo, New Mexico. For all of this data the sand sizes were between d50 = .23 mm and d50 = .34 mm. Covariance and spectral density functions were computed using the IBM 16 20 and a program written for this study. Models for these functions were derived and computed. The first three values of the covariance functions were found to be sufficient for computing approximate models and two other parameters which describe the goodness of fit of the models or how well the process of bed elevation as a function of distance downstream is described by a second order autoregressive scheme. The first value of covariance, which is the variance of the process, relates well with the flow parameter of unit discharge. The next two values of covariance show a less definite relationship with the same flow parameter.technical reportsmasters thesesengCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.Sediment transport -- Mathematical modelsRunoff -- Mathematical modelsText