-
Notifications
You must be signed in to change notification settings - Fork 4
/
HorizonVelocityAnalysis.m
453 lines (422 loc) · 23.4 KB
/
HorizonVelocityAnalysis.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
%% Horizon Velocity Analysis
% This Routine Extracts the Travel-Time Picks and computes the Monte-Carlo
% Bootstrapped Linear Regression for EM Velocity and Intercept Time.
% These Parameters are Converted to Depth, Density, and Accumualtion with
% their respective variances in this routine.
% Surpress Parfor Temporary Variable Warning
warning('off','MATLAB:mir_warning_maybe_uninitialized_temporary');
% Extract AirWave Picks and Perform Residual Subtraction Velocity Analysis
% parfor (ii = 1:nFiles, nWorkers - (nWorkers-nFiles))
for ii = 1:nFiles
looper = 1:nTrace;
% Concatenate Air Wave Picks
for dh = 1:nDirectHorizon
% Concatenate Primary Reflection Picks for Horizon hh
GatherDirectPicks{dh,ii} = cat(2,DirectFBpick{:,dh,ii});
DirectPicks = GatherDirectPicks{dh,ii};
% Air Wave Velocity Analysis
if dh == 1
% for jj = looper
parfor (jj = looper, nWorkers)
% Extract Picks
AirPick = DirectPicks(jj,:);
for kk = 1:250 % 250 Random Draws
% Cross-Validation for Surface Velocity Estimation 7-28-17
nCut = randsample([0,1,2],1);
cutChan = randsample(liveChan,nCut);
xvalChan = liveChan;
cutIx = find(ismember(liveChan,cutChan));
xvalChan(cutIx) = [];
xvalIx = find(ismember(liveChan,xvalChan));
xvalAirPick = AirPick(xvalIx);
xvalOffset = offsetArray(xvalIx);
% Compute Air Wave Arrival Velocity and Intercept Time
% IRLS Scheme
if isL1Air
[xVdir{dh,jj,ii}(kk,1), xToDir{dh,jj,ii}(kk,1)] = DirectWaveIrls(xvalOffset,xvalAirPick);
end
% OLS Scheme
if isL2Air
[xVdir{dh,jj,ii}(kk,1), xToDir{dh,jj,ii}(kk,1)] = DirectWave(xvalOffset,xvalAirPick);
end
end
% Residual Error Analysis
VoAir = mean([xVdir{dh,jj,ii}]);
tmpTo = mean([xToDir{dh,jj,ii}]);
% Find Velocity Residual for Additional Trace Shifts & Calulate Residual Time
deltaT{ii,jj} = (AirPick-tmpTo) - (offsetArray./0.299);
% Apply Residual Time Shifts
ResAirPick = AirPick - deltaT{ii,jj};
% Recalculate Airwave Moveout Velocity
if isL1Air
[VoDir{dh,jj,ii}, toDir{dh,jj,ii}] = DirectWaveIrls(offsetArray,ResAirPick);
end
if isL2Air
[VoDir{dh,jj,ii}, toDir{dh,jj,ii}] = DirectWave(offsetArray,ResAirPick);
end
AirTo{ii,jj} = toDir{dh,jj,ii};
% Estimate Wavelet Depth
xDepthDir{dh,jj,ii} = 0;
% Estimate Direct Wave Density
xRhoDir{dh,jj,ii} = 0;
% Error Analysis
VoVarDir{dh,jj,ii} = var([xVdir{dh,jj,ii}]);
toVarDir{dh,jj,ii} = var([xToDir{dh,jj,ii}]);
DepthDir{dh,jj,ii} = VoDir{dh,jj,ii}.*toDir{dh,jj,ii};
RhoDir{dh,jj,ii} = DryCrim(VoDir{dh,jj,ii});
CovZP = zeros(2,2);
DepthVarDir{dh,jj,ii} = CovZP(1,1);
RhoDirVar{dh,jj,ii} = CovZP(2,2);
CovDepthRhoDir{dh,jj,ii} = CovZP(1,2);
end
else
% Cross-Validation for Surface Velocity Estimation
% for jj = looper
parfor (jj = looper, nWorkers)
% Multiple Shot Gathers in Population
isManyShots = 1;
if isManyShots
shotRange = 5;
ranger = sqrt(([1:nTrace]-jj).^2); % Compute Distance
getIx = find(ranger<=shotRange); % Find Nearby Picks
DirPick = DirectPicks(getIx,:) - vertcat(deltaT{ii,getIx}); % Residual Static Corection
pickPool = size(DirPick,1);
xvalPool = 1:pickPool;
% Cross-Validation for Surface Velocity Estimation
for kk = 1:1250 % 1250 Random Draws
nCut = randsample([0,1],1);
cutChan = randsample(liveChan,nCut);
xvalChan = liveChan;
cutIx = find(ismember(liveChan,cutChan));
xvalChan(cutIx) = [];
xvalIx = find(ismember(liveChan,xvalChan));
pickPool = length(xvalIx);
xvalBin = randsample(xvalPool,pickPool,'true');
xvalDirPick = ...
DirPick(sub2ind(size(DirPick),xvalBin,xvalIx));
xvalOffset = offsetArray(xvalIx);
% Compute Surface Wave Arrival Velocity and Intercept Time
if isL2LMO
% OLS Scheme
[xVdir{dh,jj,ii}(kk,1), xToDir{dh,jj,ii}(kk,1)]...
= DirectWave(xvalOffset,xvalDirPick);
end
% IRLS Scheme
if isL1LMO
[xVdir{dh,jj,ii}(kk,1), xToDir{dh,jj,ii}(kk,1)]...
= DirectWaveIrls(xvalOffset,xvalDirPick);
end
end
end
% Single Shot Gather in Population
isSingleShot = 0;
if isSingleShot
% Re-Extract Direct Wave Picks after Residual Shifts
DirPick = DirectPicks(jj,:) - deltaT{ii,jj}; % Residual Static Corection
for kk = 1:250 % 250 Random Draws
% Cross-Validation for Surface Velocity Estimation
nCut = randsample([0,1,2],1);
cutChan = randsample(liveChan,nCut);
xvalChan = liveChan;
cutIx = find(ismember(liveChan,cutChan));
xvalChan(cutIx) = [];
xvalIx = find(ismember(liveChan,xvalChan));
xvalDirPick = DirPick(xvalIx);
xvalOffset = offsetArray(xvalIx);
% Compute Air Wave Arrival Velocity and Intercept Time
if isL2LMO
% OLS Scheme
[xVdir{dh,jj,ii}(kk,1), xToDir{dh,jj,ii}(kk,1)]...
= DirectWave(xvalOffset,xvalDirPick);
end
% IRLS Scheme
if isL1LMO
[xVdir{dh,jj,ii}(kk,1), xToDir{dh,jj,ii}(kk,1)]...
= DirectWaveIrls(xvalOffset,xvalDirPick);
end
end
end
% Correct Residual Direct Arrival Intercept Time
if dh == 2
ResidualToDir = AirTo{ii,jj} - mean(xToDir{dh,jj,ii});
AirTo{ii,jj} = AirTo{ii,jj} - ResidualToDir;
end
% Apply To Static Shift Post Residual Correction
xToDir{dh,jj,ii} = xToDir{dh,jj,ii} - AirTo{ii,jj};
% Apply Velocity Bias Correction Factor 1.72%
xVdir{dh,jj,ii} = xVdir{dh,jj,ii}%; + velocityBias;
% Estimate Wavelet Depth
% Sounding Depth at One Wavelength
waveLength = (xVdir{dh,jj,ii}./f0GHz);
% L1 Norm Forces Variance of To Positive Downward
xDepthDir{dh,jj,ii} = xVdir{dh,jj,ii}.*abs(xToDir{dh,jj,ii})...
+ waveLength;
% Estimate Direct Wave Density
xRhoDir{dh,jj,ii} = DryCrim([xVdir{dh,jj,ii}]);
% Error Analysis
VoDir{dh,jj,ii} = mean([xVdir{dh,jj,ii}]);
VoVarDir{dh,jj,ii} = var([xVdir{dh,jj,ii}]);
toDir{dh,jj,ii} = mean(abs([xToDir{dh,jj,ii}]));
toVarDir{dh,jj,ii} = var([xToDir{dh,jj,ii}]);
DepthDir{dh,jj,ii} = mean([xDepthDir{dh,jj,ii}]);
RhoDir{dh,jj,ii} = mean([xRhoDir{dh,jj,ii}]);
CovZP = cov([xDepthDir{dh,jj,ii}],[xRhoDir{dh,jj,ii}]);
DepthVarDir{dh,jj,ii} = CovZP(1,1);
RhoDirVar{dh,jj,ii} = CovZP(2,2);
CovDepthRhoDir{dh,jj,ii} = CovZP(1,2);
end
% Apply Residual Corrections to AirWave Arrival Time
if dh == 2
toDir(1,:,ii) = AirTo(ii,:);
DirectTo{1,ii} = [toDir{1,:,ii}] - [AirTo{ii,:}];
end
end
% Concatenate Direct Travel Time
DirectTo{dh,ii} = [toDir{dh,:,ii}];
DirectToVar{dh,ii} = [toVarDir{dh,:,ii}];
% Concatenate Direct Velocity
DirectVelocity{dh,ii} = [VoDir{dh,:,ii}];
DirectVelocityVar{dh,ii} = [VoVarDir{dh,:,ii}];
% Concatenate Direct Wave Depth
DirectDepth{dh,ii} = [DepthDir{dh,:,ii}];
DirectDepthVar{dh,ii} = [DepthVarDir{dh,:,ii}];
% Concatenate Reflection Density
DirectDensity{dh,ii} = [RhoDir{dh,:,ii}];
DirectDensityVar{dh,ii} = [RhoDirVar{dh,:,ii}];
% Concatenate Covariance
CovarianceDepthDensityDirect{dh,ii} = [CovDepthRhoDir{dh,:,ii}];
% Estimte DirectSWE
DirectSWE{dh,ii} = DirectDepth{dh,ii}.*DirectDensity{dh,ii};
% Error Propagation Equation
DirectSWEvar{dh,ii} = DirectDepthVar{dh,ii}.*DirectDensity{dh,ii}.^2 ...
+ DirectDensityVar{dh,ii}.*DirectDepth{dh,ii}.^2 ...
+ 2.*DirectDepth{dh,ii}.*DirectDensity{dh,ii}.*CovarianceDepthDensityDirect{dh,ii};
% Smooth Esitmates
smoothR = 251;
dhTWT{dh,ii} = nonParametricSmooth( 1:length(DirectTo{dh,ii}),...
DirectTo{dh,ii},1:length(DirectTo{dh,ii}),smoothR);
dhTWTvar{dh,ii} = nonParametricSmooth( 1:length(DirectToVar{dh,ii}),...
DirectToVar{dh,ii},1:length(DirectToVar{dh,ii}),smoothR);
dhSnowWaterEqv{dh,ii} = nonParametricSmooth( 1:length(DirectSWE{dh,ii}),DirectSWE{dh,ii},...
1:length(DirectSWE{dh,ii}),smoothR);
dhSnowWaterEqvVar{dh,ii} = nonParametricSmooth( 1:length(DirectSWEvar{dh,ii}),...
DirectSWEvar{dh,ii},1:length(DirectSWEvar{dh,ii}),smoothR);
dhDensity{dh,ii} = nonParametricSmooth( 1:length(DirectDensity{dh,ii}),...
DirectDensity{dh,ii},1:length(DirectDensity{dh,ii}),smoothR);
dhDensityVar{dh,ii} = nonParametricSmooth( 1:length(DirectDensityVar{dh,ii}),...
DirectDensityVar{dh,ii},1:length(DirectDensityVar{dh,ii}),smoothR);
dhDepth{dh,ii} = nonParametricSmooth( 1:length(DirectDepth{dh,ii}),...
DirectDepth{dh,ii},1:length(DirectDepth{dh,ii}),smoothR);
dhDepthVar{dh,ii} = nonParametricSmooth( 1:length(DirectDepthVar{dh,ii}),...
DirectDepthVar{dh,ii},1:length(DirectDepthVar{dh,ii}),smoothR);
end
end
% Primary Reflection Velocity Analysis
for ii = 1:nFiles
looper = 1:nTrace;
for rh = 1:nReflectionHorizon
% Concatenate Primary Reflection Picks for Horizon rh
GatherReflectionPicks{rh,ii} = cat(2,ReflectionFBpick{:,rh,ii});
Reflection = GatherReflectionPicks{rh,ii};
% for jj = looper
parfor (jj = looper, nWorkers)
% Jackknife Simulation for Reflection Velocity Estimation
% Multiple Shot Gathers in Population
isManyShots = 1;
if isManyShots
shotRange = 5;
ranger = sqrt(([1:nTrace]-jj).^2); % Compute Distance
getIx = find(ranger<=shotRange); % Find Nearby Picks
RefPick = Reflection(getIx,:) - vertcat(deltaT{ii,getIx}); % Residual Static Corection
RefPick = RefPick - vertcat(AirTo{ii,getIx})*ones(1,nChan); % Time-Zero Static Shift
pickPool = size(RefPick,1);
xvalPool = 1:pickPool;
end
% Single Shot Gather in Population
isSingleShot = 0;
if isSingleShot
RefPick = Reflection(jj,:) - deltaT{ii,jj}; % Residual
RefPick = RefPick - AirTo{ii,jj}; % Bulk Shift
end
% Jackknife Simulation for Reflection Velocity Estimation
if isManyShots
for kk = 1:1250 % 1250 Random Draws
nCut = randsample([0,1,2],1);
cutChan = randsample(liveChan,nCut);
xvalChan = liveChan;
cutIx = find(ismember(liveChan,cutChan));
xvalChan(cutIx) = [];
xvalIx = find(ismember(liveChan,xvalChan));
pickPool = length(xvalIx);
xvalBin = randsample(xvalPool,pickPool,'true');
xvalRefPick = ...
RefPick(sub2ind(size(RefPick),xvalBin,xvalIx));
xvalOffset = offsetArray(xvalIx);
% Compute Reflected Arrival Velocity and Intercept Time
% IRLS Scheme
if isL1NMO
[xVref{rh,jj,ii}(kk,1), xToRef{rh,jj,ii}(kk,1), xDepth{rh,jj,ii}(kk,1)] ...
= VrmsIrls(xvalOffset,xvalRefPick);
end
% OLS Scheme
if isL2NMO
[xVref{rh,jj,ii}(kk,1), xToRef{rh,jj,ii}(kk,1), xDepth{rh,jj,ii}(kk,1)] ...
= Vrms(xvalOffset,xvalRefPick);
end
end
end
if isSingleShot
for kk = 1:250 % 250 Random Draws
nCut = randsample([0,1,2],1);
cutChan = randsample(liveChan,nCut);
xvalChan = liveChan;
cutIx = find(ismember(liveChan,cutChan));
xvalChan(cutIx) = [];
xvalIx = find(ismember(liveChan,xvalChan));
xvalRefPick = RefPick(xvalIx);
xvalOffset = offsetArray(xvalIx);
% Compute Reflected Arrival Velocity and Intercept Time
% IRLS Scheme
if isL1NMO
[xVref{rh,jj,ii}(kk,1), xToRef{rh,jj,ii}(kk,1), xDepth{rh,jj,ii}(kk,1)] ...
= VrmsIrls(xvalOffset,xvalRefPick);
end
% OLS Scheme
if isL2NMO
[xVref{rh,jj,ii}(kk,1), xToRef{rh,jj,ii}(kk,1), xDepth{rh,jj,ii}(kk,1)] ...
= Vrms(xvalOffset,xvalRefPick);
end
end
end
% Apply Velocity Bias Correction Factor % 1.72
xVref{rh,jj,ii} = xVref{rh,jj,ii};% + velocityBias;
% Create Bootstrapped Population of Reflection Density
xRhoRef{rh,jj,ii} = DryCrim([xVref{rh,jj,ii}]);
% Error Analysis
realIx = find(real([xToRef{rh,jj,ii}]));
VoRef{rh,jj,ii} = mean([xVref{rh,jj,ii}(realIx)]);
VoVarRef{rh,jj,ii} = var([xVref{rh,jj,ii}(realIx)]);
toRef{rh,jj,ii} = mean([xToRef{rh,jj,ii}(realIx)]);
toVarRef{rh,jj,ii} = var([xToRef{rh,jj,ii}(realIx)]);
HorizonDepth{rh,jj,ii} = mean([xDepth{rh,jj,ii}(realIx)]);
RhoRef{rh,jj,ii} = mean([xRhoRef{rh,jj,ii}(realIx)]);
CovZP = cov([xDepth{rh,jj,ii}(realIx)],[xRhoRef{rh,jj,ii}(realIx)]);
HorizonDepthVar{rh,jj,ii} = CovZP(1,1);
RhoRefVar{rh,jj,ii} = CovZP(2,2);
CovDepthRho{rh,jj,ii} = CovZP(1,2);
end
% Perform Dix Inversion of RMS velocities
parfor (jj = looper, nWorkers)
% for jj = looper
if rh > 1
% Real Solution Constraint
realIxI = find(real([xToRef{rh-1,jj,ii}]));
realIxJ = find(real([xToRef{rh,jj,ii}]));
[xVint{rh,jj,ii}, xHint{rh,jj,ii}] ...
= DixHVA([xVref{rh-1,jj,ii}(realIxI)],[xVref{rh,jj,ii}(realIxJ)],...
[xToRef{rh-1,jj,ii}(realIxI)],[xToRef{rh,jj,ii}(realIxJ)]);
xRhoInt{rh,jj,ii} = DryCrim(xVint{rh,jj,ii});
VoInt{rh,jj,ii} = mean([xVint{rh,jj,ii}]);
VoIntVar{rh,jj,ii} = var([xVint{rh,jj,ii}]);
HoInt{rh,jj,ii} = mean([xHint{rh,jj,ii}]);
HoIntVar{rh,jj,ii} = var([xHint{rh,jj,ii}]);
RhoInt{rh,jj,ii} = mean([xRhoInt{rh,jj,ii}]);
RhoIntVar{rh,jj,ii} = var([xRhoInt{rh,jj,ii}]);
CovHP = cov([xHint{rh,jj,ii}],[xRhoInt{rh,jj,ii}]);
CovThicknessRho{rh,jj,ii} = CovHP(1,2);
else
realIx = find(real([xToRef{rh,jj,ii}]));
xVint{rh,jj,ii} = xVref{rh,jj,ii}(realIx);
xHint{rh,jj,ii} = xDepth{rh,jj,ii}(realIx);
xRhoInt{rh,jj,ii} = xRhoRef{rh,jj,ii}(realIx);
HoInt{rh,jj,ii} = HorizonDepth{rh,jj,ii};
HoIntVar{rh,jj,ii} = HorizonDepthVar{rh,jj,ii};
VoInt{rh,jj,ii} = VoRef{rh,jj,ii};
VoIntVar{rh,jj,ii} = VoVarRef{rh,jj,ii};
RhoInt{rh,jj,ii} = RhoRef{rh,jj,ii};
RhoIntVar{rh,jj,ii} = RhoRefVar{rh,jj,ii};
CovHP = cov([xHint{rh,jj,ii} ],[xRhoInt{rh,jj,ii}]);
CovThicknessRho{rh,jj,ii} = CovHP(1,2);
end
end
% Concatenate Reflection Travel Time
ReflectionTo{rh,ii} = [toRef{rh,:,ii}];
ReflectionToVar{rh,ii} = [toVarRef{rh,:,ii}];
% Concatenate Reflection Velocity
ReflectionVelocity{rh,ii} = [VoRef{rh,:,ii}];
ReflectionVelocityVar{rh,ii} = [VoVarRef{rh,:,ii}];
IntervalVelocity{rh,ii} = [VoInt{rh,:,ii}];
IntervalVelocityVar{rh,ii} = [VoIntVar{rh,:,ii}];
% Concatenate Reflector Depth
ReflectionDepth{rh,ii} = [HorizonDepth{rh,:,ii}];
ReflectionDepthVar{rh,ii} = [HorizonDepthVar{rh,:,ii}];
%Concatenate Layer Thicnkess
IntervalThickness{rh,ii} = [HoInt{rh,:,ii}];
IntervalThicknessVar{rh,ii} = [HoIntVar{rh,:,ii}];
% Concatenate Reflection Density
ReflectionDensity{rh,ii} = [RhoRef{rh,:,ii}];
ReflectionDensityVar{rh,ii} = [RhoRefVar{rh,:,ii}];
% Concatenate Interval Density
IntervalDensity{rh,ii} = [RhoInt{rh,:,ii}];
IntervalDensityVar{rh,ii} = [RhoIntVar{rh,:,ii}];
% Concatenate Covariance
CovarianceDepthDensity{rh,ii} = [CovDepthRho{rh,:,ii}];
CovarianceThicknessDensity{rh,ii} = [CovThicknessRho{rh,:,ii}];
% Estimte SWE
% Initiate CallBack to GreenTracsFirnCore
if isGreenTracsFirnCore
isCallbackHVA = 1;
% Assumes Firn Stratigraphy to be Isochronous
% Report the Age of the Reflection Horizon
GreenTracsFirnCore
end
% Estimate Annual Accumulation of ageInterval Annuals
SWE{rh,ii} = ReflectionDepth{rh,ii}.*ReflectionDensity{rh,ii}./ageInterval;
SWEint{rh,ii} = IntervalThickness{rh,ii}.*IntervalDensity{rh,ii}./ageInterval;
% Error Propagation Equation
SWEvar{rh,ii} = ReflectionDepthVar{rh,ii}.*ReflectionDensity{rh,ii}.^2 ...
+ ReflectionDensityVar{rh,ii}.*ReflectionDepth{rh,ii}.^2 ...
+ 2.*ReflectionDepth{rh,ii}.*ReflectionDensity{rh,ii}.*CovarianceDepthDensity{rh,ii};
SWEintVar{rh,ii} = IntervalThicknessVar{rh,ii}.*IntervalDensity{rh,ii}.^2 ...
+ IntervalDensityVar{rh,ii}.*IntervalThickness{rh,ii}.^2 ...
+ 2.*IntervalThickness{rh,ii}.*IntervalDensity{rh,ii}.*CovarianceThicknessDensity{rh,ii};
% Smooth Esitmates
smoothR = 251;
if isReduceData
if mod(smoothR,2) == 0
smoothR = ceil(smoothR./rmNtrc);
else
smoothR = smoothR+1;
end
end
TWT{rh,ii} = nonParametricSmooth( 1:length(ReflectionTo{rh,ii}),...
ReflectionTo{rh,ii},1:length(ReflectionTo{rh,ii}),smoothR);
TWTvar{rh,ii} = nonParametricSmooth( 1:length(ReflectionToVar{rh,ii}),...
ReflectionToVar{rh,ii},1:length(ReflectionToVar{rh,ii}),smoothR);
SnowWaterEqv{rh,ii} = nonParametricSmooth( 1:length(SWE{rh,ii}),SWE{rh,ii},...
1:length(SWE{rh,ii}),smoothR);
SnowWaterEqvVar{rh,ii} = nonParametricSmooth( 1:length(SWEvar{rh,ii}),...
SWEvar{rh,ii},1:length(SWEvar{rh,ii}),smoothR);
Density{rh,ii} = nonParametricSmooth( 1:length(ReflectionDensity{rh,ii}),...
ReflectionDensity{rh,ii},1:length(ReflectionDensity{rh,ii}),smoothR);
DensityVar{rh,ii} = nonParametricSmooth( 1:length(ReflectionDensityVar{rh,ii}),...
ReflectionDensityVar{rh,ii},1:length(ReflectionDensityVar{rh,ii}),smoothR);
Depth{rh,ii} = nonParametricSmooth( 1:length(ReflectionDepth{rh,ii}),...
ReflectionDepth{rh,ii},1:length(ReflectionDepth{rh,ii}),smoothR);
DepthVar{rh,ii} = nonParametricSmooth( 1:length(ReflectionDepthVar{rh,ii}),...
ReflectionDepthVar{rh,ii},1:length(ReflectionDepthVar{rh,ii}),smoothR);
% Smooth Inteval Estimates
LayerSnowWaterEqv{rh,ii} = nonParametricSmooth( 1:length(SWEint{rh,ii}),SWEint{rh,ii},...
1:length(SWEint{rh,ii}),smoothR);
LayerSnowWaterEqvVar{rh,ii} = nonParametricSmooth( 1:length(SWEintVar{rh,ii}),...
SWEintVar{rh,ii},1:length(SWEintVar{rh,ii}),smoothR);
LayerDensity{rh,ii} = nonParametricSmooth( 1:length(IntervalDensity{rh,ii}),...
IntervalDensity{rh,ii},1:length(IntervalDensity{rh,ii}),smoothR);
LayerDensityVar{rh,ii} = nonParametricSmooth( 1:length(IntervalDensityVar{rh,ii}),...
IntervalDensityVar{rh,ii},1:length(IntervalDensityVar{rh,ii}),smoothR);
LayerThickness{rh,ii} = nonParametricSmooth( 1:length(IntervalThickness{rh,ii}),...
IntervalThickness{rh,ii},1:length(IntervalThickness{rh,ii}),smoothR);
LayerThicknessVar{rh,ii} = nonParametricSmooth( 1:length(IntervalThicknessVar{rh,ii}),...
IntervalThicknessVar{rh,ii},1:length(IntervalThicknessVar{rh,ii}),smoothR);
end
end