A Review of Recent Developments in Underwater A Review of Recent Developments in Underwater Acoustic Modeling Acoustic Modeling Underwater Acoustic Modeling Acoustical Society of America Seattle WA • 23 27 May 2011 Acoustical Society of America Seattle, WA • 23-27 May 2011 Seattle, WA • 26 May 2011 Paul C Etter Paul C. Etter Paper : 4pUW6
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A Review of Recent Developments in Underwater
A Review of Recent Developments in Underwater Acoustic Modeling
Acoustic ModelingUnderwater Acoustic Modeling
Acoustical Society of America Seattle WA • 23 27 May 2011
Acoustical Society of America Seattle, WA • 23-27 May 2011Seattle, WA • 26 May 2011
Paul C EtterPaul C. EtterPaper: 4pUW6
INTRODUCTION
• Objectives– Review developments in underwater acoustic modeling over the past eight years
Characterize evolution of the modeling inventory over 32 year period 1979 2011– Characterize evolution of the modeling inventory over 32-year period 1979 - 2011• Surveys conducted at eight-year intervals: 1979, 1987, 1995, 2003, 2011• 2003 survey published in book – provides baseline for 2011 survey
– Sonar Performance Models• Active Sonar Models• Model Operating Systems• Tactical Decision Aids
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• Tactical Decision Aids
• Provide model-selection guidance
MODELING APPLICATIONSDomains of Applicability
• Domains of Applicability– Arise from assumptions imposed while generating tractable mathematicalArise from assumptions imposed while generating tractable mathematical
solutions from governing physics or empirical data– Restrict applicability of models to specific frequency ranges or problem
geometries– May trade accuracy and computational complexity– Influenced by research versus operational applications
• ResearchC d t d i l b t i t– Conducted in laboratory environments
– Computer time is not a critical factor– Accuracy is important
• Operational• Operational– Conducted in the field– Require rapid execution, often under demanding conditions– Modeling accuracy may be subordinate to processing speedModeling accuracy may be subordinate to processing speed
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MODELING APPLICATIONSEmerging Trends
• Inverse Methods– geoacoustic and seismo-acoustic inversion– time-reversal acoustics
through the sensor parameter estimation– through-the-sensor parameter estimation– acoustic rain gauges
• Signal Processing– adjoint methods– stochastic resonancestochastic resonance– pulse propagation– clutter environments– vectors and clusters– prediction uncertainty in complex environments– high-frequency acoustics– high frequency acoustics– chaotic and stochastic nonlinear ray dynamics
• Underwater Acoustic Networks– channel models– advances in localization methods (range-based versus range-free schemes)advances in localization methods (range based versus range free schemes)– developments in rapid environmental assessments and new applications for gliders
• Marine-Mammal Endangerment– regulatory initiatives and environmental impacts– rising levels of underwater noise
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g– role of acidification: H2CO3 (carbonic acid) lowers pH, which lowers acoustic attenuation
– seismic operations and protection of whales
MODELING CAPABILITIES Model Hierarchy
• Underwater acoustics– Development and employment of
acoustical methods toI d t f t• Image underwater features
• Communicate information via the oceanic waveguide
• Measure oceanic properties
Modeling• Modeling– Method for organizing knowledge
accumulated through observation or deduced from underlying principles
– Physical (physics-based) models• Conceptual representation of
the physical processes occurring in the ocean
• Same as analytical modelsMathematical models– Mathematical models
• Empirical models– Based on observations
• Numerical models– Based on mathematical
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– Based on mathematical representations of the governing physics
MODELING CAPABILITIESPropagation Theory
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22 1
tc ∂Φ∂
=Φ∇ tie ωφ −=Φ
• Frequency-Domain Solutions– Ray theory
022 =+∇ φφ k
( ) ( )zyxiGezyxF ,,,,=φ
k = ω / c
– Normal mode
– Multipath expansion
– Fast field / wavenumber integration
P b li i
( ) ( )rGzF ⋅=φ
( ) ( )θφ– Parabolic equation
• Environmental Range Dependence– Range independent (1D)
m = number of routes in the basinn = number of ship typesAij = number of ships of type j on route i
[Adapted from Moll et al. (1979)]
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Aij number of ships of type j on route iSijk = source intensity of the kth ship of type j on route iZijk = intensity transmission ratio from ship ijk to receiving pointBijk = gain for a plane wave arriving at the array from ship ijk