UUnniivveerrssiittyy ooff RRhhooddee IIssllaanndd DDiiggiittaallCCoommmmoonnss@@UURRII Open Access Dissertations 2016 WWaavveeQQ33DD:: FFaasstt aanndd AAccccuurraattee AAccoouussttiicc TTrraannssmmiissssiioonn LLoossss ((TTLL)) EEiiggeennrraayyss,, iinn LLiittttoorraall EEnnvviirroonnmmeennttss Sean M. Reilly University of Rhode Island, [email protected] Follow this and additional works at: https://digitalcommons.uri.edu/oa_diss RReeccoommmmeennddeedd CCiittaattiioonn Reilly, Sean M., "WaveQ3D: Fast and Accurate Acoustic Transmission Loss (TL) Eigenrays, in Littoral Environments" (2016). Open Access Dissertations. Paper 441. https://digitalcommons.uri.edu/oa_diss/441 This Dissertation is brought to you for free and open access by DigitalCommons@URI. It has been accepted for inclusion in Open Access Dissertations by an authorized administrator of DigitalCommons@URI. For more information, please contact [email protected]. WAVEQ3D: FAST AND ACCURATE ACOUSTIC TRANSMISSION LOSS (TL) EIGENRAYS, IN LITTORAL ENVIRONMENTS BY SEAN M. REILLY A DISSERTATION SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY IN OCEAN ENGINEERING UNIVERSITY OF RHODE ISLAND 2016 DOCTOR OF PHILOSOPHY DISSERTATION OF SEAN M. REILLY APPROVED: Dissertation Committee Major Professor Gopu R. Potty James H. Miller Isaac Ginis Nasser H. Zawia DEAN OF THE GRADUATE SCHOOL UNIVERSITY OF RHODE ISLAND 2016 Abstract This study defines a new 3D Gaussian ray bundling acoustic transmission loss model in geodetic coordinates: latitude, longitude, and altitude. This approach is de- signed to lower the computation burden of computing accurate environmental effects in sonar training application by eliminating the need to transform the ocean environ- ment into a collection of Nx2D Cartesian radials. This approach also improves model accuracy by incorporating real world 3D effects, like horizontal refraction, into the model. This study starts with derivations for a 3D variant of Gaussian ray bundles in this coordinate system. To verify the accuracy of this approach, acoustic prop- agation predictions of transmission loss, time of arrival, and propagation direction are compared to analytic solutions and other models. To validate the model’s ability to predict real world phenomena, predictions of transmission loss and propagation direction are compared to at-sea measurements, in an environment where strong hor- izontal refraction effect have been observed. This model has been integrated into U.S. Navy active sonar training system applications, where testing has demonstrated its ability to improve transmission loss calculation speed without sacrificing accuracy. Acknowledgments The author would like to acknowledge all of the collaborators who have assisted in this research over the years. In 1994, Dr. Roy Deavenport (Naval Undersea Warfare Center Division Newport) first encouraged me to explore the development of a 3D Gaussianbeamtheorytosupportthemodelingoftheenvironmentalimpulseresponse foractivesonarapplications. Thetheoryforreflectionfroma3-Dslopewasdeveloped by Dr. Michael Goodrich (Alion Science and Technology), who also made significant contributions to the development of test cases as part of an internal research and development effort funded by Alion Science and Technology in 2009. Efforts to test and productize this model where funded from 2011-2015 by the High Frequency Ac- tive Sonar Training (HiFAST) project at the U.S. Office of Naval Research (ONR), where Mr. Michael Vaccaro led the charge to evolve this unproven concept into a Navy training capability. Mr. David Thibaudeau provided testing support and Mr. Ted Burns acted as our the lead system integrator during the HiFAST effort at Aegis Technology Group. Thanks to Dr. Thomas Yudichak (Applied Research Laboratory at the University of Texas in Austin), who provided years of Navy certification expe- rience and keen insights during the his independent verification and validation effort. Special thanks are due to Jonathan Glass, and his team at Naval Air Warfare Center Training System Division, who suffered through the first integration of the this model into a real Navy training system. Finally, the author would like to thank Dr. Gopu iii Potty and Dr. James Miller who brought their academic rigor and perspective to this effort. iv Dedication To my wife, Joan, my inspiration in all things. v Preface Many underwater acoustic propagation models transform the three dimensional (3D) environment into a collection of two dimensional (2D) radials, and then compute transmission loss as a function of range and depth along each of those radials. This approach, often called Nx2D, is used in tactical decision aids to compute millions of range, depth, and bearing combinations in just a few minutes. Sonar training ap- plications have an additional requirement that the results must be computed in real time for presentation to the trainees. In littoral environments, the number of acoustic contacts can be in the hundreds, and the Nx2D approach places a large computation burden on the training system. The primary goal of this research is to develop a transmission loss model that reduces the computational burden on training systems without sacrificing accuracy. Improving the speed of this computation reduce acqui- sition costs by reducing reliance on massively parallel computing systems. This study alsoseekstoprovidetheacousticsresearchcommunitywithatoolthatcanpredict3D effects in applications, like geophysical parameter inversion, where execution speed is important. This dissertation follows the University of Rhode Island Graduate School guide- lines for the preparation of a dissertation in manuscript format. There are three chapters that represent formally published papers: • Manuscript 1 derives the theory behind the model, and provides key test results vi including: ray path refraction accuracy using a Munk profile, Gaussian beam projectionintotheshadowzoneforann2 linearprofile, andhorizontalrefraction from a 3D analytic wedge. • Manuscript 2 compares model predictions to at-sea measurements of horizontal refraction in a sloped environment. • Manuscript3discussestheapplicationofthismodelindeployablesonartraining systems. • Manuscript 4 discusses the accuracy of this model in the deep sound channel. Appendix A is an unpublished model accuracy test report, delivered to the High Fre- quency Active Sonar Training (HiFAST) project at the U.S. Office of Naval Research (ONR), in 2012. vii Table of Contents Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi Table of Cotents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . viii List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xii List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii 1 Computing Acoustic Transmission Loss Using 3D Gaussian Ray Bundles in Geodetic Coordinates . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Derivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3.1 3-D ray propagation in spherical coordinates . . . . . . . . . . 5 1.3.2 3-D interface reflections . . . . . . . . . . . . . . . . . . . . . . 11 1.3.3 3-D eigenray path detection . . . . . . . . . . . . . . . . . . . . 15 1.3.4 3-D Gaussian ray bundles . . . . . . . . . . . . . . . . . . . . . 19 viii
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