The Estimation of Ship Velocity from a SAR Image

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The Estimation of Ship Velocity from a SAR Image James K.E. Tunaley, Radar Applications and Space Technology Section DRDC Ottawa Defence R&D Canada R et D pour la défense Canada Canada

OBJECTIVES Ship velocity vector is important for ocean surveillance: Tracking requires ID maintenance Dense shipping environments Study the feasibility of extracting ship velocity vector (heading and speed) from SAR imagery: * Cross-range displacement * Kelvin wake Other wakes Ocean models internal wave speed (maximum) Code software tool (Gayan Abeysundara)

CROSS-RANGE DISPLACEMENT Seasat: note offset Internal wave wake? Unsteady wake?

EXAMPLE OF TURBULENT WAKE Turbulent wake in Radarsat image

EXAMPLE OF KELVIN WAKE Radarsat image Canmar Pride Transverse Waves Turbulent Wake Ship

INTERNAL WAKE (ERS)

POTENTIAL DIFFICULTIES Not always a wake: Turbulent wake usually present for large ships: up to and including SS4 Internal waves common in littoral areas when SS<3 Ambient sea Variety of wake types Turbulent Steady Internal Kelvin Unsteady surface and internal wakes Some wake arms missing Natural internal waves

RADON TRANSFORM Maps lines in spatial domain to points in Radon space Should be preceded by high pass filter and possibly by a Wiener post-filter (Seasat)

EXAMPLE OF RADON TRANSFORM

WAKE ARM EXTRACTION Locate wake using 4 regions Extract arms from larger area

WAKE CLASSIFICATION Angle of wake Shape of crests; presence of transverse waves Width and brightness of lines (important for turbulent wake)

OTHER TECHNIQUES: OCEAN MODELS Internal wave wake opening angle

KELVIN TRANSVERSE WAVES Ship speed equals phase speed Dispersion relation gk U c g

PERFORMANCE Data from the Canadian Coast Guard Reporting points in Gulf of St. Lawrence TABLE 1 SHIP PARAMETERS Name Type Length (m) Service speed (km/hr) Actual Speed (km/hr) Canmar Pride Container Carrier 244 39 41.8 1.5 Hope 1 Bulk Carrier 188 28 20.4 0.7 Turid Knutsen Chemical Tanker 163 25 18.9 0.7

WAKE-DERIVED SPEEDS (TURBULENT) TABLE 2 IMAGE DERIVED LENGTHS AND SPEEDS Name Length (m) Speed (km/hr) Canmar Pride 200-260 (244) 36.5-41.7 (41.8) Hope 1 172-240 (188) 23.2-27.5 (20.4) Turid Knutsen 200-260 (163) 22.6-28.0 (18.9)

WAKE-DERIVED SPEED (KELVIN) Canmar Pride speed: Wavelength about 78 m Speed about 40 km/hr (11 m/s, 22 knots)

SUPPORTING ACTIVITIES Wake simulations Kelvin Internal Turbulent Unsteady: ship motion, reflections, propellers Breaking wave modeling Ambient sea (short crested) Breaking criteria

HYDRODYNAMICAL SIMULATIONS

REAL AND SIMULATED RADAR IMAGE

BREAKING WAVE CRITERIA (1) Banner and Phillips criterion: dz=0 dz dt z t z x dx dt z y dy dt v z v S z 0

TENTATIVE BREAKING CRITERIA v z v F z 0 v S z 0 v S =fluid surface horizontal velocity v F =fluid particle horizontal velocity grad(z)=slope

EXAMPLE OF WAVE FIELD (SS3, V w =2m/s along x-axis)

Percent Breaking EFFECT OF WIND DRIFT LAYER Sea State 3 v 0. 55 drift u * u * Kv ln( z wind / z 0 ) EFFECT OF WIND DRIFT LAYER 40 35 30 25 20 15 10 5 0 0 5 10 15 20 Wind Drift (m/s) Series1