shallow water propagation with variable depth

1
not be uniquely related (theWKB result is fortuitous). Instead, some aux- illiary condition, such asTindle'sidentification of bottom loss per bounce and mode attenuation per cycle distance, must be invokedto uniquely define cycle distance {as opposed to theperiodicity of interference between two modes) as a single mode quantity. As a bonus, a straightforward eigenvalue estimator is suggested for numerical eigenmode calculations. [Work supported by ONR.] 10:05 F6. Sound channel formation in the Strait of Juan de Fuca. David G. Browning (New LondonLaboratory, Naval Underwater Systems Center,New London,CT 06320)and J. W. Powell{Defence Research Establishment Pacific, FMO, Victoria, British Columbia V0S lB0, Canada) Twodistinct oceanographic layers exist in the Strait ofJuan deFuca: a reduced salinity surface layer, approximately 100 m thick, which contains seaward flowing freshwater runoff; and a deeper layer which has access to the North Pacific but is blocked to landward by a sill at the headof the Strait. The annual temperature cycle in each layerisdistinctly different, forexample, the surface layer attains its highest temperature inJuly when thedeeper layer reaches itslowest. Thiscontributes to a complex evolu- tionof thesound channel during theyear, which wedescribe. In general, wefindthesound channel axis to belocated in theshallow layerduring the winter andin thedeeper layer during the summer. [Worksupported by NUSC and DREP.] 10:20 F7. Measurement of sound propagation, down-slope to a bottom-limited sound channel. William M. Carey (NORDA, 800 North QuincyStreet, Arlington, VA 22217-5000),Estvan Gereben (TRW, McLean, VA), Burlie A. Brunson (PSI, McLean, VA 22102), and Marshall R. Bradley (PSI, Slidell,LA 70458) Signal transmission loss andspatial coherence datafor source-receiv- er separations between 100 and 250 km were acquired in the Gulf of Mexico with a calibrated seismic measurement system (400 m deep),a towed projector (100m deep) which emitted 67 and 173-Hz tones, and a moorcA Webb sound source at 988-m depthdrivenat 175Hz. Environ- mental datasuch asthe range dependent bathymetry and sound velocity profiles were measured. The 67-Hz data showed a persistent sound trans- mission loss of approximately 90 dB whereas the 173Hz showed several pronounced loss minima between 100-90dB. Slope enhancements were found to be on the order 2-4 dB at 67 Hz and 6 dB at 173 Hz when compared to fiat bottomcalculations. Pairwise coherence data show the combined effects of multipath interference andsignal-to-noise ratio. Esti- mates of signal coherence length fromthecoherent summation of stream- er hydrophones yieldcoherence lengths between 70-300 m at a frequency of 173Hz. Fastasymptotic coherent andnormal mode transmission loss calculations produced results consistent with measured datafor the deep fiat portionof the measurement tracks whenmeasured geoacoustic pro- files or relatedbottomloss curves wereused. The implicit finitedifference parabolic equation calculations were consistent with range-averaged data for thefiat portion of thetrackaswellasontheslope. These results show that if proper qualitative description of the sub-bottom velocity profiles are used, then computations with eithera parobolic equation or normal modetechnique are consistent with experimental results. 10:35 FS. Model exi•riments on modepropagation in a shallow water wedge. H. Hobaek, a) J. Lindberg,and T. G. Muir {Applied Research Laboratories, The University of Texasat Austin, P.O. Box 8029, Austin, TX 78713-8029) Guidedmodepropagation in a wedge bounded by the ocean surface and a sloped bottom is modeled in a 80-kHz experiment conducted in an indoor tank, under controlledconditions. The bottom is simulated by a sand fillcA tray, l0 m long, 1m wide, and20 cmdeep. The tray issuspend- CA beneath the water surface, with oneend pivoted soasto vary the angle of the wedge from 0ø-- 10 ø. A vertical line array of seven elements isused as a source to preferentially excite low ordered modes in the waveguide. The fieldof propagating modes is studied with a probe hydrophone asa func- tion of range and depthin both the water columnand the sand sediment. Measurements on modeconversion in propagation out of the wedge are discussed and compared to tl•eory. [Work supported by the Office of Na- valResearch.] al On leave from Department of Physics, Bergen Universi- ty, Norway. 10:50 F9. Propagationlossmeasurements in a region of complexbathymetry over the continental slope. J. Syck and R. Chapman (Defence Research Establishment Pacific, FMO, Victoria, BC V0S lB0, Canada) Measurements of propagation lossover a'sloping bottom havebeen obtained in experiments on the continentalslopeoff the west coastof Vancouver Island.Shot runs were carried out to ranges of 100 km using 18 m and 180 m SUScharges in upslope anddownslope geometries. The data were processed in 1/3-octbands from 12.5-630Hz. The 18-mshots were bottom-limited in these experiments, and the effect of the interaction with the seafloor wasobserved for these charges in both experimental geome- tries. An enhancement in the propagationloss was observed for the downslope run, with the loss decreasing by up to l0 dB for shots at the crest of the slope, whereas the loss increased with range faster than cylin- dricalspreading for theupslope run. Also,an optimum frequency of prop- agation was observed at 50 Hz for bothgeometries. In contrast, thepropa- gation loss increased withboth range andfrequency for thedeeper shots. The measurements have been modelcA using a wide-angle parabolic equa- tion methodwhich is capable of accounting for the interaction with the sloping bottom.The modeled results provide an accurate description of the features observed in the measurements. 11:05 F10. Shallow water acoustic modeling over a sloping bottom. C.T. Tindle and G. B. Deane (Physics Department,The Universityof Auckland,PrivateBag,Auckland,New Zealand) Ray theorywith beamdisplacement gives an approximate method of finding the acoustic fieldin shallow water. It wasshown to bequiteaccu- rate for a horizontally stratified two fluid (Pekeris) model by comparison with normal moderesults. [C. T. Tindle, J. Acoust.Soc. Am. 73, 1581- 1586 {1983)]. The method is extended to the sloping bottom situation by simple geometric arguments andwithout further approximation. Results showthat evensmallbottomslopes have a dramaticeffect on the sound field.The results are compared with those for the adiabatic normalmode approximation and agreement is goodfor higher frequencies. At lower frequencies differences are attributed to normal modes passing through cutoff, a process which is ignored in simple adiabatic modetheory. 11:20 FII. Shallow water propagation with variable depth. Daniel N. Dixon and Stephen K. Mitchell (Applied Research Laboratories, The University of Texasat Austin, Austin, TX 78713-8029) Thispaper presents calculations of acoustic propagation in a shallow depth-varying ocean environment using boththesimple adiabatic andthe uniformly valid adiabatic {UVA) normalmodetheoryof Desaubies [J. Acoust. Soc. Am. 76, 624-626{1984)]. In theUVA approximation, modal coupling effects areaccountcA for through a second order correction term in the phase of the sound field; only the phase relationships between the modes areaffected, andthemodal amplitudes remain unchanged. Conse- quently, the approximation is adiabatic in that no energy is exchanged between modes. This expansion technique, whichDesaubies applied to a range-varying sound speed profile, is generalized here to the variable depth waveguide problem. In the shallow water example considered, it wasfoundthat the phasing effects can significantly change the interfer- ence patterns of propagation loss curves. In general, thephase changes are foundto become more significant with greater bottomslopes and higher frequencies. Comparisons of calculations and data are presentcA. [This work was supported by the ARL:UT IR&D Program.] S14 J. Acoust. Soc. Am.Suppl. 1, Vol.77, Spring 1985 109th Meeting: Acoustical Society of America S14 Redistribution subject to ASA license or copyright; see http://acousticalsociety.org/content/terms. Download to IP: 206.196.184.84 On: Wed, 17 Dec 2014 03:57:23

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Page 1: Shallow water propagation with variable depth

not be uniquely related (the WKB result is fortuitous). Instead, some aux- illiary condition, such as Tindle's identification of bottom loss per bounce and mode attenuation per cycle distance, must be invoked to uniquely define cycle distance {as opposed to the periodicity of interference between two modes) as a single mode quantity. As a bonus, a straightforward eigenvalue estimator is suggested for numerical eigenmode calculations. [Work supported by ONR.]

10:05

F6. Sound channel formation in the Strait of Juan de Fuca. David

G. Browning (New London Laboratory, Naval Underwater Systems Center, New London, CT 06320) and J. W. Powell {Defence Research Establishment Pacific, FMO, Victoria, British Columbia V0S lB0, Canada)

Two distinct oceanographic layers exist in the Strait of Juan de Fuca: a reduced salinity surface layer, approximately 100 m thick, which contains seaward flowing freshwater runoff; and a deeper layer which has access to the North Pacific but is blocked to landward by a sill at the head of the Strait. The annual temperature cycle in each layer is distinctly different, for example, the surface layer attains its highest temperature in July when the deeper layer reaches its lowest. This contributes to a complex evolu- tion of the sound channel during the year, which we describe. In general, we find the sound channel axis to be located in the shallow layer during the winter and in the deeper layer during the summer. [Work supported by NUSC and DREP.]

10:20

F7. Measurement of sound propagation, down-slope to a bottom-limited sound channel. William M. Carey (NORDA, 800 North Quincy Street, Arlington, VA 22217-5000), Estvan Gereben (TRW, McLean, VA), Burlie A. Brunson (PSI, McLean, VA 22102), and Marshall R. Bradley (PSI, Slidell, LA 70458)

Signal transmission loss and spatial coherence data for source-receiv- er separations between 100 and 250 km were acquired in the Gulf of Mexico with a calibrated seismic measurement system (400 m deep), a towed projector (100 m deep) which emitted 67 and 173-Hz tones, and a moorcA Webb sound source at 988-m depth driven at 175 Hz. Environ- mental data such as the range dependent bathymetry and sound velocity profiles were measured. The 67-Hz data showed a persistent sound trans- mission loss of approximately 90 dB whereas the 173 Hz showed several pronounced loss minima between 100-90 dB. Slope enhancements were found to be on the order 2-4 dB at 67 Hz and 6 dB at 173 Hz when

compared to fiat bottom calculations. Pairwise coherence data show the combined effects of multipath interference and signal-to-noise ratio. Esti- mates of signal coherence length from the coherent summation of stream- er hydrophones yield coherence lengths between 70-300 m at a frequency of 173 Hz. Fast asymptotic coherent and normal mode transmission loss calculations produced results consistent with measured data for the deep fiat portion of the measurement tracks when measured geoacoustic pro- files or related bottom loss curves were used. The implicit finite difference parabolic equation calculations were consistent with range-averaged data for the fiat portion of the track as well as on the slope. These results show that if proper qualitative description of the sub-bottom velocity profiles are used, then computations with either a parobolic equation or normal mode technique are consistent with experimental results.

10:35

FS. Model exi•riments on mode propagation in a shallow water wedge. H. Hobaek, a) J. Lindberg, and T. G. Muir {Applied Research Laboratories, The University of Texas at Austin, P.O. Box 8029, Austin, TX 78713-8029)

Guided mode propagation in a wedge bounded by the ocean surface and a sloped bottom is modeled in a 80-kHz experiment conducted in an indoor tank, under controlled conditions. The bottom is simulated by a sand fillcA tray, l0 m long, 1 m wide, and 20 cm deep. The tray is suspend- CA beneath the water surface, with one end pivoted so as to vary the angle

of the wedge from 0 ø-- 10 ø. A vertical line array of seven elements is used as a source to preferentially excite low ordered modes in the waveguide. The field of propagating modes is studied with a probe hydrophone as a func- tion of range and depth in both the water column and the sand sediment. Measurements on mode conversion in propagation out of the wedge are discussed and compared to tl•eory. [Work supported by the Office of Na- val Research.] al On leave from Department of Physics, Bergen Universi- ty, Norway.

10:50

F9. Propagation loss measurements in a region of complex bathymetry over the continental slope. J. Syck and R. Chapman (Defence Research Establishment Pacific, FMO, Victoria, BC V0S lB0, Canada)

Measurements of propagation loss over a'sloping bottom have been obtained in experiments on the continental slope off the west coast of Vancouver Island. Shot runs were carried out to ranges of 100 km using 18 m and 180 m SUS charges in upslope and downslope geometries. The data were processed in 1/3-oct bands from 12.5-630 Hz. The 18-m shots were bottom-limited in these experiments, and the effect of the interaction with the seafloor was observed for these charges in both experimental geome- tries. An enhancement in the propagation loss was observed for the downslope run, with the loss decreasing by up to l0 dB for shots at the crest of the slope, whereas the loss increased with range faster than cylin- drical spreading for the upslope run. Also, an optimum frequency of prop- agation was observed at 50 Hz for both geometries. In contrast, the propa- gation loss increased with both range and frequency for the deeper shots. The measurements have been modelcA using a wide-angle parabolic equa- tion method which is capable of accounting for the interaction with the sloping bottom. The modeled results provide an accurate description of the features observed in the measurements.

11:05

F10. Shallow water acoustic modeling over a sloping bottom. C.T. Tindle and G. B. Deane (Physics Department, The University of Auckland, Private Bag, Auckland, New Zealand)

Ray theory with beam displacement gives an approximate method of finding the acoustic field in shallow water. It was shown to be quite accu- rate for a horizontally stratified two fluid (Pekeris) model by comparison with normal mode results. [C. T. Tindle, J. Acoust. Soc. Am. 73, 1581- 1586 {1983)]. The method is extended to the sloping bottom situation by simple geometric arguments and without further approximation. Results show that even small bottom slopes have a dramatic effect on the sound field. The results are compared with those for the adiabatic normal mode approximation and agreement is good for higher frequencies. At lower frequencies differences are attributed to normal modes passing through cutoff, a process which is ignored in simple adiabatic mode theory.

11:20

FII. Shallow water propagation with variable depth. Daniel N. Dixon and Stephen K. Mitchell (Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713-8029)

This paper presents calculations of acoustic propagation in a shallow depth-varying ocean environment using both the simple adiabatic and the uniformly valid adiabatic {UVA) normal mode theory of Desaubies [J. Acoust. Soc. Am. 76, 624-626{1984)]. In the UVA approximation, modal coupling effects are accountcA for through a second order correction term in the phase of the sound field; only the phase relationships between the modes are affected, and the modal amplitudes remain unchanged. Conse- quently, the approximation is adiabatic in that no energy is exchanged between modes. This expansion technique, which Desaubies applied to a range-varying sound speed profile, is generalized here to the variable depth waveguide problem. In the shallow water example considered, it was found that the phasing effects can significantly change the interfer- ence patterns of propagation loss curves. In general, the phase changes are found to become more significant with greater bottom slopes and higher frequencies. Comparisons of calculations and data are presentcA. [This work was supported by the ARL:UT IR&D Program.]

S14 J. Acoust. Soc. Am. Suppl. 1, Vol. 77, Spring 1985 109th Meeting: Acoustical Society of America S14

Redistribution subject to ASA license or copyright; see http://acousticalsociety.org/content/terms. Download to IP: 206.196.184.84 On: Wed, 17 Dec 2014 03:57:23