Oct_11_2011/svel_corrections.pl
author A.M. Thurnherr <athurnherr@yahoo.com>
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#======================================================================
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#                    S V E L _ C O R R E C T I O N S . P L 
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#                    doc: Thu Dec 30 01:35:18 2010
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#                    dlm: Thu Oct  6 12:20:51 2011
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#                    (c) 2010 A.M. Thurnherr
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#                    uE-Info: 35 0 NIL 0 0 72 2 2 4 NIL ofnI
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#======================================================================
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# HISTORY:
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#	Dec 30, 2010: - created
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#	Oct  5, 2011: - sscorr_w temporarily disabled
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#				  - re-enabled
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# NOTES:
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#	In an effort to track down the scale bias, NBP0901 stn 160 was reprocessed with various
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#   simplified soundspeed correction methods:
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#		1) no sscorr: bias is depth dependent and disappears btw 2500 and 3000m
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#		2) simplified (dBin/dADCP): very similar to full correction, esp. when dBin is used
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#		3) hacked correction (1450m/s vs 1500m/s assumed soundspeed) => bias largely disappears
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sub sscorr_w($$$$)												# sound-speed correction for w
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{																# see RDI Coord. Trans. manual sec. 4.1, ...
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	my($wObs,$wCTD,$dADCP,$dBin) = @_;							# but there is an error: the ^2 applies to the []
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	my($tanSqBeamAngle) = tan(rad($LADCP{BEAM_ANGLE}))**2;
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	$dADCP = int($dADCP);										# @sVelProf is binned to 1m
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	$dBin = int($dBin);
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	while (!numberp($sVelProf[$dADCP])) { $dADCP--; }			# skip gaps & bottom of profile
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	while (!numberp($sVelProf[$dBin ])) { $dBin--;  }
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	my($Kn) = sqrt(1 + (1 - $sVelProf[$dBin]/$sVelProf[$dADCP])**2 * $tanSqBeamAngle);
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###	return $wObs - $wCTD;								# no correction
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###	return ($wObs*$sVelProf[$dBin]/1500 - $wCTD);		# simplified correction; dADCP instead of dBin similar
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	return ($wObs*$sVelProf[$dBin]/1500 - $wCTD) / $Kn;	# full correction
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}
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sub calc_binDepths($)											# see RDI Coord Trans manual sec. 4.2
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{
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	my($ens) = @_;
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	my(@bindz);
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	my($tanSqBeamAngle) = tan(rad($LADCP{BEAM_ANGLE}))**2;
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	my($curdz) = 0;												# calc avg sndspeed btw transducer & 1st bin
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	$curdz-- until numberp($sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)]);
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	my($avgss) = my($ADCPss) = $sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)];
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	my($sumss) = my($nss) = 0;
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	if ($LADCP{ENSEMBLE}[$ens]->{XDUCER_FACING_UP}) {
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		while ($curdz >= -$LADCP{DISTANCE_TO_BIN1_CENTER}*cos(rad($LADCP{ENSEMBLE}[$ens]->{TILT}))) {
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			if (numberp($sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)])) {
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				$sumss += $sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)]; $nss++;
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			}
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			$curdz--;
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		}
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	} else {
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		while ($curdz <= $LADCP{DISTANCE_TO_BIN1_CENTER}*cos(rad($LADCP{ENSEMBLE}[$ens]->{TILT}))) {
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			if (numberp($sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)])) {
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				$sumss += $sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)]; $nss++;
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			}
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			$curdz++;
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		}
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	}
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	$avgss = $sumss/$nss if ($nss>0);
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	my($Kn) = sqrt(1 + (1 - $avgss/$ADCPss)**2 * $tanSqBeamAngle);
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	$bindz[0] = $LADCP{ENSEMBLE}[$ens]->{XDUCER_FACING_UP} ?
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					- $LADCP{DISTANCE_TO_BIN1_CENTER}*$Kn*$avgss/1500*cos(rad($LADCP{ENSEMBLE}[$ens]->{TILT})) :
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					+ $LADCP{DISTANCE_TO_BIN1_CENTER}*$Kn*$avgss/1500*cos(rad($LADCP{ENSEMBLE}[$ens]->{TILT}));
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	for (my($bin)=1; $bin<=$LADCP_lastBin-1; $bin++) {
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		$sumss = $nss = 0;
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		if ($LADCP{ENSEMBLE}[$ens]->{XDUCER_FACING_UP}) {
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			while ($curdz >= $bindz[$bin-1]-$LADCP{BIN_LENGTH}*cos(rad($LADCP{ENSEMBLE}[$ens]->{TILT}))) {
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				if (numberp($sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)])) {
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					$sumss += $sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)]; $nss++;
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				}
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				$curdz--;
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			}
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		} else {
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			while ($curdz <= $bindz[$bin-1]+$LADCP{BIN_LENGTH}*cos(rad($LADCP{ENSEMBLE}[$ens]->{TILT}))) {
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				if (numberp($sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)])) {
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					$sumss += $sVelProf[int($LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH}+$curdz)]; $nss++;
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				}
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				$curdz++;
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			}
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		}
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		$avgss = $sumss/$nss if ($nss > 0);			# otherwise, leave avgss as is
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		$Kn = sqrt(1 + (1 - $avgss/$ADCPss)**2 * $tanSqBeamAngle);
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		$bindz[$bin] = $LADCP{ENSEMBLE}[$ens]->{XDUCER_FACING_UP} ?
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						$bindz[$bin-1] - $LADCP{BIN_LENGTH}*$Kn*$avgss/1500*cos(rad($LADCP{ENSEMBLE}[$ens]->{TILT})) :
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	                    $bindz[$bin-1] + $LADCP{BIN_LENGTH}*$Kn*$avgss/1500*cos(rad($LADCP{ENSEMBLE}[$ens]->{TILT}));
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    }
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    my(@bindepth);
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    for (my($i)=0; $i<@bindz; $i++) {
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    	$bindepth[$i] = $LADCP{ENSEMBLE}[$ens]->{CTD_DEPTH} + $bindz[$i];
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    }
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	return @bindepth;
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}
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1;