Functions from PAPoncet for reflection calculation (array and PUV)
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swash/processing/pa/PUV.py
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swash/processing/pa/PUV.py
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import math
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import os
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import shutil
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import subprocess
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import numpy as np
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import csv
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import matplotlib.pyplot as plt
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import sys
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from scipy import signal
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import re
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from scipy.interpolate import griddata
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import scipy.io as sio
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import imageio
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from mpl_toolkits import mplot3d
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from scipy import signal
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from scipy.fftpack import fft, ifft
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# fonction moyenne glissante
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def lissage(Lx,Ly,p):
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'''Fonction qui débruite une courbe par une moyenne glissante
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sur 2P+1 points'''
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Lxout=[]
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Lyout=[]
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Lxout = Lx[p: -p]
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for index in range(p, len(Ly)-p):
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average = np.mean(Ly[index-p : index+p+1])
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Lyout.append(average)
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return Lxout,Lyout
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# import orientation data
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with open('ADV/ARTHA_aut18.sen','r') as n:
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content = n.readlines()
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heading = []
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pitch = []
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roll = []
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i = 0
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for i in range(len(content)-1):
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row = content[i].split()
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heading.append(float(row[10]))
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pitch.append(float(row[11]))
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roll.append(float(row[12]))
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i+=1
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# import Pressure and velocity measurement
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with open('ADV/ARTHA_aut18.dat','r') as n:
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content = n.readlines()
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E = []
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N = []
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Up = []
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P = []
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burstnb = []
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position = []
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i = 0
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for i in range(len(content)-1):
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row = content[i].split()
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burstnb.append(int(row[0]))
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position.append(int(row[1]))
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E.append(float(row[2]))
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N.append(float(row[3]))
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Up.append(float(row[4]))
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P.append(float(row[14]))
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i+=1
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# import seal level pressure and reshape vector to fit the ADV data
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with open('press_socoa_0110_2311_18.data','r') as n:
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content = n.readlines()[1:]
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burstind = []
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date = []
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slp = []
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ind = 1
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i = 0
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for i in range(len(content)-1):
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row = content[i].split(";")
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date.append(int(row[1]))
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slp.append(float(row[3]))
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if date[i] >= 2018101004 and date[i]%2 == 0:
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burstind.append(int(ind))
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ind+=1
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else :
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burstind.append("nan")
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i+=1
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slpind = []
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i=0
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while i<len(slp):
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if burstind[i] != 'nan' :
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slpind.append(slp[i])
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i+=1
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slpind = slpind[:304]
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# height from ground to ADV
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delta = 0.4
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# gravity
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g = 9.81
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#define time vector
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t = np.linspace(0, 1200, 2400)
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burstP = np.zeros((304,2400))
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burstE = np.zeros((304,2400))
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burstN = np.zeros((304,2400))
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i = 0
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j = 0
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n = 1
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while i < len(P) :
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burstP[n,j] = P[i] - slpind[n]/100*0.4/10.13
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burstE[n,j] = E[i]
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burstN[n,j] = N[i]
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if i >= n*2400 - 1:
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n+=1
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j=-1
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i+=1
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j+=1
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burstP = np.delete(burstP,0,0)
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burstE = np.delete(burstE,0,0)
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burstN = np.delete(burstN,0,0)
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# number of point in the burst
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N = 2400
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# time step
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T = 0.5
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#frequency vector
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xf = np.linspace(0.0, 1.0/(2.0*T), N//2)
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# hs calculation interval
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x1 = np.max(np.where(xf < 0.05))
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x2 = np.min(np.where(xf > 0.17))
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# u = vitesse hori
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# p = pression
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# h = profondeur locale
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#fs = fréquence echantillonage
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# zmesP = profondeur de mesure de la pression
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# zmesU = profondeur de mesure de la vitesse
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def PUV_dam(u,p,h,fs,zmesP,zmesU):
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u = detrend(u)
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p = detrend(p)
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ampliseuil = 0.001
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N = len(u)
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delta = 1.0/T
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#transformée de fourrier
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Yu = fft(u)
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Yp = fft(p)
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nyquist = 1/2
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#Fu_xb = ((1:N/2)-1)/(N/2)/deltat*nyquist
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xf = np.linspace(0.0, 1.0/(2.0*T), N//2)
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Ampu = np.abs(Yu[1:N/2])/(N/2.0)
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Ampp = np.abs(Yp[1:N/2])/(N/2.0)
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#pas de frequence deltaf
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deltaf=1/(N/2)/deltat*nyquist;
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#phase
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ThetaU=angle(Yu[1:N/2]);
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ThetaP=angle(Yp[1:N/2]);
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#calcul du coefficient de reflexion
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nbf=length(xf);
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if max(p) > 0 :
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#si pas de données de pression, jsute Sheremet
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#attention : on commence par le deuxieme point, le premier correspondant a frequence nulle
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iicutoff_xb=max(min(np.where(xf>0.5))) #length(Fu_xb)) ?
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#calcul de l'amplitude en deca de la frequence de coupure
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k_xb = []
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ii = 1
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while ii<iicutoff_xb :
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k_xb[ii] = newtonpplus(xf[ii],h,0);
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a1=Ampu[ii];
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a3=Ampp[ii];
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phi1=ThetaU[ii];
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phi3=ThetaP[ii];
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omega[ii]=2*pi*xf[ii];
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cc=omega[ii]*cosh(xf[ii]*(zmesU+h))/sinh(xf[ii]*h);
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ccp=omega[ii]*cosh(xf[ii]*(zmesP+h))/sinh(xf[ii]*h);
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cs=omega[ii]*sinh(xf[ii]*(zmesU+h))/sinh(xf[ii]*h);
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#Procedure de calcul des ai et ar sans courant
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ccc[ii]=cc;
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ccs[ii]=cs;
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cccp[ii]=ccp;
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#calcul des amplitudes des ondes incidentes a partir de uhoriz et p
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aincident13[ii]=0.5*sqrt(a1*a1/(cc*cc)+a3*a3*g*g*xf[ii]*xf[ii]/(omega[ii]*omega[ii]*ccp*ccp)+2*a1*a3*g*k_xb[ii]*cos(phi3-phi1)/(cc*ccp*omega[ii]))
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areflechi13[ii]=0.5*sqrt(a1*a1/(cc*cc)+a3*a3*g*g*k_xb[ii]*k_xb[ii]/(omega[ii]*omega[ii]*ccp*ccp)-2*a1*a3*g*xf[ii]*cos(phi3-phi1)/(cc*ccp*omega[ii]))
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cv=g*xf[ii]/(omega[ii]*ccp)
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cp=1/cc
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aprog[ii]= a3/(g*xf[ii]/(omega[ii]*ccp)); #hypothese progressive Drevard et al |u|/Cv
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#aprog(ii)= a1/cp;
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#|p|/Cp
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if aincident13[ii]<0.18*ampliseuil:
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r13[ii]=0
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else:
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r13[ii]=areflechi13[ii]/aincident13[ii]
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#calcul des energies incidente et reflechie sans ponderation avec les voisins
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Eprog=0.5*aprog**2/deltaf;
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Eixb=0.5*aincident13**2/deltaf
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Erxb=0.5*areflechi13**2/deltaf
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F=Fu_xb[1:iicutoff_xb]
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return Eixb,Erxb,Eprog,F
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'test'
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fs =2
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# Calcul du vecteur d'onde en prÈsence d'un courant
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# constant u de sens opposÈ ‡ celui de propagation de l'onde
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# a partir de la frÈquence f, la profondeur d'eau h et
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# la vitesse u du courant
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# kh : vecteur d'onde * profondeur d'eau
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def newtonpplus(f,h,u) :
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# calcul de k:
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g = 9.81
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kh = 0.5
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x = 0.001
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u=-u
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while (abs((kh - x)/x) > 0.00000001) :
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x = kh
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fx = x*math.tanh(x) - (h/g)*(2*math.pi*f-(u/h)*x)*(2*math.pi*f-(u/h)*x)
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fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2)+(2*u/g)*(2*math.pi*f-(u/h)*x)
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kh = x - (fx/fprimx)
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k = kh/h
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return k
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# fin du calcul de k
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u = signal.detrend(U[1])
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p = signal.detrend(burstP[1])
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ampliseuil = 0.001
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N = len(u)
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deltat = 1.0/fs
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#transformée de fourrier
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Yu = fft(u)
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Yp = fft(p)
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nyquist = 1/2.0
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# h = profondeur locale
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h = np.mean(burstP[1])
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#Fu_xb = ((1:N/2)-1)/(N/2)/deltat*nyquist
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xf = np.linspace(0.0, 1.0/(2.0*T), N//2)
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Ampu = np.abs(Yu[1:N/2])/(N/2.0)
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Ampp = np.abs(Yp[1:N/2])/(N/2.0)
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#pas de frequence deltaf
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deltaf=1.0/(N/2.0)/deltat*nyquist
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#phase
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ThetaU=np.angle(Yu[1:N/2])
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ThetaP=np.angle(Yp[1:N/2])
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#calcul du coefficient de reflexion
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#fs = fréquence echantillonage
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fs = 2
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# zmesP = profondeur de mesure de la pression
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zmesP = h - 0.4
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# zmesU = profondeur de mesure de la vitesse
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zmesU = zmesP
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nbf=len(xf)
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if max(p) > 0 :
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#si pas de données de pression, jsute Sheremet
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#attention : on commence par le deuxieme point, le premier correspondant a frequence nulle
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iicutoff_xb=max(min(np.where(xf>0.5))) #length(Fu_xb)) ?
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#calcul de l'amplitude en deca de la frequence de coupure
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k_xb = []
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omega = []
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ccc = []
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ccs = []
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cccp = []
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aincident13 =[]
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areflechi13 =[]
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r13 =[]
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aprog = []
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ii = 0
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while ii<iicutoff_xb :
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k_xb.append(newtonpplus(xf[ii],h,0))
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a1=Ampu[ii];
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a3=Ampp[ii];
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phi1=ThetaU[ii];
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phi3=ThetaP[ii];
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omega.append(2*math.pi*xf[ii])
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cc=omega[ii]*math.cosh(xf[ii]*(zmesU+h))/math.sinh(xf[ii]*h);
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ccp=omega[ii]*math.cosh(xf[ii]*(zmesP+h))/math.sinh(xf[ii]*h);
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cs=omega[ii]*math.sinh(xf[ii]*(zmesU+h))/math.sinh(xf[ii]*h);
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#Procedure de calcul des ai et ar sans courant
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ccc.append(cc)
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ccs.append(cs)
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cccp.append(ccp)
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#calcul des amplitudes des ondes incidentes a partir de uhoriz et p
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aincident13.append(0.5*math.sqrt(a1*a1/(cc*cc)+a3*a3*g*g*xf[ii]*xf[ii]/(omega[ii]*omega[ii]*ccp*ccp)+2*a1*a3*g*k_xb[ii]*math.cos(phi3-phi1)/(cc*ccp*omega[ii])))
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areflechi13.append(0.5*math.sqrt(a1*a1/(cc*cc)+a3*a3*g*g*k_xb[ii]*k_xb[ii]/(omega[ii]*omega[ii]*ccp*ccp)-2*a1*a3*g*xf[ii]*math.cos(phi3-phi1)/(cc*ccp*omega[ii])))
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cv=g*xf[ii]/(omega[ii]*ccp)
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cp=1/cc
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aprog.append(a3/(g*xf[ii]/(omega[ii]*ccp))) #hypothese progressive Drevard et al |u|/Cv
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#aprog(ii)= a1/cp;
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#|p|/Cp
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if aincident13[ii]<0.18*ampliseuil:
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r13.append(0)
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else:
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r13.append(areflechi13[ii]/aincident13[ii])
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ii+=1
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swash/processing/pa/reflex3S.py
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swash/processing/pa/reflex3S.py
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import csv
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import matplotlib.pyplot as plt
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import os
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import math
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import sys
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import numpy as np
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from matplotlib import animation
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import imageio
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import cmath
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def newtonpplus(f,h,u) :
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# calcul de k:
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g = 9.81
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kh = 0.5
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x = 0.001
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u=-u
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while (abs((kh - x)/x) > 0.00000001) :
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x = kh
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fx = x*math.tanh(x) - (h/g)*(2*math.pi*f-(u/h)*x)*(2*math.pi*f-(u/h)*x)
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fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2)+(2*u/g)*(2*math.pi*f-(u/h)*x)
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kh = x - (fx/fprimx)
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k = kh/h
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return k
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def newtonpmoins(f,h,u0) :
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# calcul de k:
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g = 9.81;
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kh = 0.5;
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x = 0.01;
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x = 6*h;
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while (np.abs((kh - x)/x) > 0.00000001):
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x = kh;
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fx = x*math.tanh(x) - (h/g)*(2*math.pi*f-(u0/h)*x)*(2*math.pi*f-(u0/h)*x);
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fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2)+(2*u0/g)*(2*math.pi*f-(u0/h)*x);
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kh = x - (fx/fprimx);
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k = kh/h
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return k
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#Calcul du vecteur d'onde a partir de la frÈquence
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#kh : vecteur d'onde * profondeur d'eau
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def newtonpropa(hi,f):
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# calcul de k:
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g=9.81;
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si = (2*math.pi*f)**2/g;
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kh = 0.5;
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x = 0.001;
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while (np.abs((kh - x)/x) > 0.00000001) :
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x = kh;
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fx = x*math.tanh(x) - si*hi;
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fprimx = math.tanh(x) + x*(1- (math.tanh(x))**2);
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kh = x - (fx/fprimx);
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kpropa = kh/hi;
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return kpropa
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def reflex3S(x1,x2,x3,xs1,xs2,xs3,h,mean_freq,fmin,fmax) :
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# Analyse avec transformee de fourier d un signal en sinus
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# calcul du coefficient de reflexion en presence d un courant u
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# tinit : temps initial
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# tfinal : temps final
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# deltat : pas de temps
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# fech= 1/deltat : frequence d echantillonnage
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# T : periode de la houle
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# nbrepoints : nombre de points
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# fmin : frequence minimale de recherche des maxima du signal de fourier
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# fmax : frequence maximale de recherche des maxima du signal de fourier
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# ampliseuil : amplitude minimale des maxima recherches
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# valeur du courant (u > 0 correspond a un courant dans le sens
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# des x croissants)
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#u=0;
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# h profondeur d'eau
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#hold on;
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#fech=16;
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#fmin=0.1;fmax=4;ampliseuil=0.005;
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#nbrepoints=fech*T*1000;
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#deltat=1./fech;
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#tinit=0;tfinal=tinit+deltat*(nbrepoints-1);
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#aitheo=1;artheo=0.4;
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#h=3;
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#T=1.33;
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#ftheo=1/T;
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#fech=16;
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#fmin=0.1;fmax=4;ampliseuil=0.005;
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#nbrepoints=fech*T*1000;
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#deltat=1./fech;
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#tinit=0;tfinal=tinit+deltat*(nbrepoints-1);
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#t = [tinit:deltat:tfinal];
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#ktheo = newtonpropa(ftheo,h);
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#Positions respectives sondes amonts entr'elles et sondes aval
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# entr'elles
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# xs1=0;xs2=0.80;xs3=1.30;
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#ENTREES DONNEES DES 3 SONDES AMONT et des 2 SONDES AVAL
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ampliseuil=0.005;
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#'check'
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#pause
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#PAS DE TEMPS
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deltat1=1/mean_freq;
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deltat2=1/mean_freq;
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deltat3=1/mean_freq;
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#transformees de Fourier
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Y1 = fft(x1,len(x1));
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N1 = len(Y1);
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Y2 = fft(x2,len(x2));
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N2 = len(Y2);
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Y3 = fft(x3,len(x3));
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N3 = len(Y3);
|
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#amplitudes normalisees, soit coef de fourier
|
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amplitude1=np.abs(Y1[1:N1//2])/(N1//2);
|
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nyquist = 1/2;
|
||||
freq1 = (np.arange(1, (N1//2)+1, 1)-1)/(N1//2)/deltat1*nyquist;
|
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amplitude2=np.abs(Y2[1:N2//2])/(N2//2);
|
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nyquist = 1/2;
|
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freq2 = (np.arange(1, (N2//2)+1, 1)-1)/(N2//2)/deltat2*nyquist;
|
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amplitude3=np.abs(Y3[1:N3//2])/(N3//2);
|
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nyquist = 1/2;
|
||||
freq3 = (np.arange(1, (N3//2)+1, 1)-1)/(N3//2)/deltat3*nyquist;
|
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#recherche de la phase
|
||||
theta1=np.angle(Y1[1:N1//2]);
|
||||
theta2=np.angle(Y2[1:N2//2]);
|
||||
theta3=np.angle(Y3[1:N3//2]);
|
||||
#pas de frequence deltaf
|
||||
deltaf=1/(N1//2)/deltat1*nyquist;
|
||||
nbrefreq=len(freq1);
|
||||
#Caracteristiques fondamentaux,sondes canaux 1 et 3
|
||||
#distances entre les sondes
|
||||
x12=xs2-xs1;
|
||||
x13=xs3-xs1;
|
||||
x23=xs3-xs2;
|
||||
#Debut calcul des coefficients de reflexion
|
||||
indmin=np.min(np.where(freq1>0.02));
|
||||
indfmin=np.min(np.where(freq1>fmin));
|
||||
indfmax=np.max(np.where(freq1<fmax));
|
||||
|
||||
|
||||
T = []
|
||||
fre = []
|
||||
aincident12 = []
|
||||
aincident23 = []
|
||||
aincident13 = []
|
||||
areflechi12 = []
|
||||
areflechi23 = []
|
||||
areflechi13 = []
|
||||
r13 = []
|
||||
ai = []
|
||||
ar = []
|
||||
Eincident123 = []
|
||||
Ereflechi123 = []
|
||||
count = 0
|
||||
for jj in np.arange(indfmin, indfmax, 1):
|
||||
f=freq1[jj]
|
||||
#periode
|
||||
T.append(1/f)
|
||||
fre.append(f)
|
||||
#calcul des vecteurs d'onde
|
||||
kplus = newtonpplus(f,h,0)
|
||||
kmoins = newtonpmoins(f,h,0)
|
||||
k = newtonpropa(h,f)
|
||||
deltaku=k-(kmoins+kplus)/2
|
||||
#amplitude des signaux pour la frequence f:
|
||||
a1=amplitude1[jj]
|
||||
a2=amplitude2[jj]
|
||||
a3=amplitude3[jj]
|
||||
#dephasages entre les signaux experimentaux des 3 sondes amont
|
||||
phi1=theta1[jj]
|
||||
phi2=theta2[jj]
|
||||
phi3=theta3[jj]
|
||||
phi12=phi2-phi1
|
||||
phi13=phi3-phi1
|
||||
phi23=phi3-phi2
|
||||
#evolution theorique entre les sondes de la phase pour une onde progressive
|
||||
delta12p= -kplus*x12
|
||||
delta13p= -kplus*x13
|
||||
delta23p= -kplus*x23
|
||||
delta12m= -kmoins*x12
|
||||
delta13m= -kmoins*x13
|
||||
delta23m= -kmoins*x23
|
||||
#calcul du coefficient de reflexion a partir des sondes 1 et 2
|
||||
aincident12.append(math.sqrt(a1*a1+a2*a2-2*a1*a2*math.cos(phi12+delta12p))/(2*np.abs(math.sin((delta12p+delta12m)/2))))
|
||||
areflechi12.append(math.sqrt(a1*a1+a2*a2-2*a1*a2*math.cos(phi12-delta12m))/(2*np.abs(math.sin((delta12p+delta12m)/2))))
|
||||
#r12(jj)=areflechi12(jj)/aincident12(jj);
|
||||
#calcul du coefficient de reflexion a partir des sondes 2 et 3
|
||||
aincident23.append(math.sqrt(a2*a2+a3*a3-2*a2*a3*math.cos(phi23+delta23p))/(2*np.abs(math.sin((delta23p+delta23m)/2))))
|
||||
areflechi23.append(math.sqrt(a2*a2+a3*a3-2*a2*a3*math.cos(phi23-delta23m))/(2*np.abs(math.sin((delta23p+delta23m)/2))))
|
||||
#r23(jj)=areflechi23(jj)/aincident23(jj);
|
||||
#calcul du coefficient de reflexion a partir des sondes 1 et 3
|
||||
aincident13.append(math.sqrt(a1*a1+a3*a3-2*a1*a3*math.cos(phi13+delta13p))/(2*np.abs(math.sin((delta13p+delta13m)/2))))
|
||||
areflechi13.append(math.sqrt(a1*a1+a3*a3-2*a1*a3*math.cos(phi13-delta13m))/(2*np.abs(math.sin((delta13p+delta13m)/2))))
|
||||
#r13.append(areflechi13[jj]/aincident13[jj])
|
||||
#calcul du coefficient de reflexion par methode des 3 sondesavec moindres carres
|
||||
delta1m=0
|
||||
delta2m=delta12m
|
||||
delta3m=delta13m
|
||||
delta1p=0
|
||||
delta2p=delta12p
|
||||
delta3p=delta13p
|
||||
s1=cmath.exp(-1j*2*delta1m)+cmath.exp(-1j*2*delta2m)+cmath.exp(-1j*2*delta3m)
|
||||
s2=cmath.exp(+1j*2*delta1p)+cmath.exp(+1j*2*delta2p)+cmath.exp(+1j*2*delta3p)
|
||||
s12=cmath.exp(1j*(delta1p-delta1m))+cmath.exp(1j*(delta2p-delta2m))+cmath.exp(1j*(delta3p-delta3m))
|
||||
s3=a1*cmath.exp(-1j*(phi1+delta1m))+a2*cmath.exp(-1j*(phi2+delta2m))+a3*cmath.exp(-1j*(phi3+delta3m))
|
||||
s4=a1*cmath.exp(-1j*(phi1-delta1p))+a2*cmath.exp(-1j*(phi2-delta2p))+a3*cmath.exp(-1j*(phi3-delta3p))
|
||||
s5=s1*s2-s12*s12
|
||||
ai.append(abs((s2*s3-s12*s4)/s5))
|
||||
ar.append(abs((s1*s4-s12*s3)/s5))
|
||||
#refl[jj]=ar[jj]/ai[jj];
|
||||
#Calcul de l'energie, on divise par le pas de frequence deltaf
|
||||
#calcul de l'energie incidente sans ponderation avec les voisins
|
||||
Eincident123.append(0.5*ai[count]*ai[count]/deltaf)
|
||||
Ereflechi123.append(0.5*ar[count]*ar[count]/deltaf)
|
||||
count+=1
|
||||
|
||||
|
||||
return ai,ar,Eincident123, Ereflechi123, indfmin, indfmax, fre
|
||||
Loading…
Reference in a new issue