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File_Reader.py
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# -*- coding: utf-8 -*-
"""
Created on Thu Aug 15 14:17:49 2013
@author: paulinkenbrandt
"""
import csv
from itertools import islice
import os
import time
import sys
import math
import numpy, scipy
from scipy import fftpack, signal
import scipy.optimize as optimization
import matplotlib.pyplot as plt
import numpy.fft as fft
import statsmodels.tsa.tsatools as tools
import statsmodels.tsa.arima_process as arima
import cmath
from operator import itemgetter
sys.path.append('C:\\PROJECTS\\Snake_Valley\\PYTHON\\PROCESSING\\New folder')
import tamura
def skip_first(seq, n):
#this function is to skip the header rows in the input files
for i,item in enumerate(seq):
if i >= n:
yield item
def tideproc(inpfile,bpdata,edata):
delta = 1.1562
p = 7.692E5
###########################################################################
"""
INPUT FILES ARE PUT IN BELOW
"""
lag = 100
tol = 0.05 #percentage of variance in frequency allowed; default is 2%
r = 1 #well radius in inches
Be = 0.10 #barometric efficiency
numb = 2000 # number of values to process
spd = 24 #samples per day hourly sampling = 24
lagt = -6.0 #hours different from UTC (negative indicates west); UT is -7
"""
INPUT FILES END HERE
"""
###########################################################################
#frequencies in cpd
O1 = 0.9295 #principal lunar
K1 = 1.0029 #Lunar Solar
M2 = 1.9324 #principal lunar
S2 = 2.00 #Principal Solar
N2 = 1.8957 #Lunar elliptic
#periods in days
P_M2 = 0.5175
P_O1 = 1.0758
# amplitude factors from Merritt 2004
b_O1 = 0.377
b_P1 = 0.176
b_K1 = 0.531
b_N2 = 0.174
b_M2 = 0.908
b_S2 = 0.423
b_K2 = 0.115
#love numbers and other constants from Agnew 2007
l = 0.0839
k = 0.2980
h = 0.6032
Km = 1.7618 #general lunar coefficient
pi = math.pi #pi
#gravity and earth radius
g = 9.821 #m/s**2
a = 6.3707E6 #m
g_ft = 32.23 #ft
a_ft = 2.0902e7 #ft/s**2
#values to determine porosity from Merritt 2004 pg 56
Beta = 2.32E-8
rho = 62.4
impfile = inpfile
outfile = 'c'+impfile
data = csv.reader(open(impfile, 'rb'), delimiter=",")
dy, u, l, nm, d, wl, t, vert =[], [], [], [], [], [], [], []
yrdty, year, month, day, hours, minutes, seconds, julday = [], [], [], [], [], [], [], []
yrdty2,year2, month2, day2, hours2, minutes2, seconds2, julday2 = [], [], [], [], [], [], [], []
yrdty3,year3, month3, day3, hours3, minutes3, seconds3, julday3 = [], [], [], [], [], [], [], []
# read in bp data
bpdata = bpdata
bdata = csv.reader(open(bpdata, 'rb'), delimiter=",")
v, d2, bp=[], [], []
d3, SG33WDD, PW19S2, PW19M2, MXSWDD = [],[],[],[],[]
etdata = edata
#assign data in csv to arrays
for row in data:
u.append(row)
for row in bdata:
v.append(row)
#pick well name, lat., long., and elevation data out of header of wl file
well_name = u[0][1]
lon = [float(u[5][1])]
latt = [round(float(u[4][1]),3)]
el = [round(float(u[10][1])/3.2808,3)]
#import the bp data
with open(bpdata, 'rb') as tot:
csvreader1 = csv.reader(tot)
for row in skip_first(csvreader1, 3):
d2.append(row[2])
bp.append(float(row[3]))
#import the wl data
with open(impfile, 'rb') as total:
csvreader = csv.reader(total)
for row in skip_first(csvreader, 62):
dy.append(row[0])
nm.append(row[1])
#import supplemental earth tide data
with open(etdata, 'rb') as tos:
csvreader2 = csv.reader(tos)
for row in skip_first(csvreader2,2):
d3.append(row[5])
SG33WDD.append(float(row[6]))
PW19S2.append(row[7])
PW19M2.append(row[8])
MXSWDD.append(row[9])
#import a smaller part of the wl data
for i in range(len(dy)-numb,len(dy)):
d.append(dy[i])
wl.append(nm[i])
#fill in last line of wl data
wl[-1]=wl[-2]
for i in range(len(wl)):
if wl[i] is '':
wl[i]=wl[i-1]
#create a list of latitude, longitude, elevation, and gmt for tidal calculation
lat = latt*len(d)
longit = lon*len(d)
elev = el*len(d)
gmtt = [float(lagt)]*len(d)
# define the various components of the date, represented by d
# dates for wl data
for i in range(len(d)):
yrdty.append(time.strptime(d[i],"%Y-%m-%d %H:%M:%S"))
year.append(int(yrdty[i].tm_year))
month.append(int(yrdty[i].tm_mon))
day.append(int(yrdty[i].tm_mday))
hours.append(int(yrdty[i].tm_hour))
minutes.append(int(yrdty[i].tm_min))
seconds.append(int(0)) #yrdty[i].tm_sec
# dates for bp data
for i in range(len(d2)):
yrdty2.append(time.strptime(d2[i],"%Y-%m-%d %H:%M:%S"))
year2.append(int(yrdty2[i].tm_year))
month2.append(int(yrdty2[i].tm_mon))
day2.append(int(yrdty2[i].tm_mday))
hours2.append(int(yrdty2[i].tm_hour))
minutes2.append(int(yrdty2[i].tm_min))
seconds2.append(int(0)) #yrdty2[i].tm_sec
# dates for bp data
for i in range(len(d3)):
yrdty3.append(time.strptime(d3[i],"%m/%d/%Y %H:%M"))
year3.append(int(yrdty3[i].tm_year))
month3.append(int(yrdty3[i].tm_mon))
day3.append(int(yrdty3[i].tm_mday))
hours3.append(int(yrdty3[i].tm_hour))
minutes3.append(int(yrdty3[i].tm_min))
seconds3.append(int(0)) #yrdty2[i].tm_sec
#julian day calculation
def calc_jday(Y, M, D, h, m, s):
# Y is year, M is month, D is day
# h is hour, m is minute, s is second
# returns decimal day (float)
Months = [0, 31, 61, 92, 122, 153, 184, 214, 245, 275, 306, 337]
if M < 3:
Y = Y-1
M = M+12
JD = math.floor((Y+4712)/4.0)*1461 + ((Y+4712)%4)*365
JD = JD + Months[M-3] + D
JD = JD + (h + (m/60.0) + (s/3600.0)) / 24.0
# corrections-
# 59 accounts for shift of year from 1 Jan to 1 Mar
# -13 accounts for shift between Julian and Gregorian calendars
# -0.5 accounts for shift between noon and prev. midnight
JD = JD + 59 - 13.5
return JD
# create a list of julian dates
for i in range(len(d)):
julday.append(calc_jday(year[i],month[i],day[i],hours[i],minutes[i],seconds[i]))
for i in range(len(d2)):
julday2.append(calc_jday(year2[i],month2[i],day2[i],hours2[i],minutes2[i],seconds2[i]))
for i in range(len(d3)):
julday3.append(calc_jday(year3[i],month3[i],day3[i],hours3[i],minutes3[i],seconds3[i]))
#run tidal function
for i in range(len(d)):
t.append(tamura.tide(int(year[i]), int(month[i]), int(day[i]), int(hours[i]), int(minutes[i]), int(seconds[i]), float(longit[i]), float(lat[i]), float(elev[i]), 0.0, lagt)) #float(gmtt[i])
vert, Grav_tide, WDD_tam, areal, potential, dilation = [], [], [], [], [], []
#determine vertical strain from Agnew 2007
#units are in sec squared, meaning results in mm
# areal determine areal strain from Agnew 2007, units in mm
#dilation from relationship defined using Harrison's code
#WDD is used to recreate output from TSoft
for i in range(len(t)):
areal.append(t[i]*p*1E-5)
potential.append(-318.49681664*t[i] - 0.50889238)
WDD_tam.append(t[i]*(-.99362956469)-7.8749754)
dilation.append(0.381611837*t[i] - 0.000609517)
vert.append(t[i] * 1.692)
Grav_tide.append(-1*t[i])
#convert to excel date-time numeric format
xls_date = []
for i in range(len(d)):
xls_date.append(float(julday[i])-2415018.5)
xls_date2 = []
for i in range(len(d2)):
xls_date2.append(float(julday2[i])-2415018.5)
xls_date3 = []
for i in range(len(d3)):
xls_date3.append(float(julday3[i])-2415018.5)
t_start = xls_date[0]
t_end = xls_date[-1]
t_len = (len(xls_date))
#align bp data with wl data
t1 = numpy.linspace(t_start, t_end, t_len)
bpint = numpy.interp(t1, xls_date2, bp)
etint = numpy.interp(t1, xls_date3, SG33WDD)
xprep, yprep, zprep = [], [], []
#convert text from csv to float values
for i in range(len(julday)):
xprep.append(float(julday[i]))
yprep.append(float(dilation[i]))
zprep.append(float(wl[i]))
#put data into numpy arrays for analysis
xdata = numpy.array(xprep)
ydata = numpy.array(yprep)
zdata = numpy.array(zprep)
bpdata = numpy.array(bpint)
etdata = numpy.array(etint)
bp = bpdata
z = zdata
y = ydata
# tempdata = numpy.array(tempint)
#standarize julian day to start at zero
x0data = xdata - xdata[0]
wl_z = []
mn = numpy.mean(z)
std = numpy.std(z)
for i in range(len(z)):
wl_z.append((z[i]-mn)/std)
bp_z = []
mn = numpy.mean(bp)
std = numpy.std(bp)
for i in range(len(bp)):
bp_z.append((bp[i]-mn)/std)
t_z = []
mn = numpy.mean(y)
std = numpy.std(y)
for i in range(len(y)):
t_z.append((t[i]-mn)/std)
dbp = []
for i in range(len(bp)-1):
dbp.append(bp[i]-bp[i+1])
dwl = []
for i in range(len(z)-1):
dwl.append(z[i]-z[i+1])
dt = []
for i in range(len(y)-1):
dt.append(y[i]-y[i+1])
dbp.append(0)
dwl.append(0)
dt.append(0)
###########################################################################
#
############################################################ Filter Signals
#
###########################################################################
''' these filtered data are not necessary,
but are good for graphical comparison '''
### define filtering function
def filt(frq,tol,data):
#define frequency tolerance range
lowcut = (frq-frq*tol)
highcut = (frq+frq*tol)
#conduct fft
ffta = fft.fft(data)
bp2 = ffta[:]
fftb = fft.fftfreq(len(bp2))
#make every amplitude value 0 that is not in the tolerance range of frequency of interest
#24 adjusts the frequency to cpd
for i in range(len(fftb)):
#spd is samples per day (if hourly = 24)
if (fftb[i]*spd)>highcut or (fftb[i]*spd)<lowcut:
bp2[i]=0
#conduct inverse fft to transpose the filtered frequencies back into time series
crve = fft.ifft(bp2)
yfilt = crve.real
return yfilt
#filter tidal data
yfilt_O1 = filt(O1,tol,ydata)
yfilt_M2 = filt(M2,tol,ydata)
#filter wl data
zfilt_O1 = filt(O1,tol,zdata)
zfilt_M2 = filt(M2,tol,zdata)
zffta = abs(fft.fft(zdata))
zfftb = abs(fft.fftfreq(len(zdata))*spd)
def phasefind(A,frq):
spectrum = fft.fft(A)
freq = fft.fftfreq(len(spectrum))
r = []
#filter = eliminate all values in the wl data fft except the frequencies in the range of interest
for i in range(len(freq)):
#spd is samples per day (if hourly = 24)
if (freq[i]*spd)>(frq-frq*tol) and (freq[i]*spd)<(frq+frq*tol):
r.append(freq[i]*spd)
else:
r.append(0)
#find the place of the max complex value for the filtered frequencies and return the complex number
p = max(enumerate(r), key=itemgetter(1))[0]
pla = spectrum[p]
T5 = cmath.phase(pla)*180/pi
return T5
yphsO1 = phasefind(ydata,O1)
zphsO1 = phasefind(zdata,O1)
phsO1 = zphsO1 - yphsO1
yphsM2 = phasefind(ydata,M2)
zphsM2 = phasefind(zdata,M2)
phsM2 = zphsM2 - yphsM2
# def phase_find(A,B,P):
# period = P
# tmax = len(xdata)*24
# nsamples = len(A)
# # calculate cross correlation of the two signals
# t6 = numpy.linspace(0.0, tmax, nsamples, endpoint=False)
# xcorr = numpy.correlate(A, B)
# # The peak of the cross-correlation gives the shift between the two signals
# # The xcorr array goes from -nsamples to nsamples
# dt6 = numpy.linspace(-t6[-1], t6[-1], 2*nsamples-1)
# recovered_time_shift = dt6[xcorr.argmax()]
#
# # force the phase shift to be in [-pi:pi]
# #recovered_phase_shift = 2*pi*(((0.5 + recovered_time_shift/(period*24)) % 1.0) - 0.5)
# return recovered_time_shift
#
#
# O1_ph= phase_find(ydata,zdata,P_O1)
# M2_ph= phase_find(ydata,zdata,P_M2)
###########################################################################
#
####################################################### Regression Analysis
#
###########################################################################
#define functions used for least squares fitting
def f3(p, x):
#a,b,c = p
m = 2.0 * O1 * pi
y = p[0] + p[1] * (numpy.cos(m*x)) + p[2] * (numpy.sin(m*x))
return y
def f4(p, x):
#a,b,c = p
m =2.0 * M2 * pi
y = p[0] + p[1] * (numpy.cos(m*x)) + p[2] * (numpy.sin(m*x))
return y
#define functions to minimize
def err3(p,y,x):
return y - f3(p,x)
def err4(p,y,x):
return y - f4(p,x)
#conducts regression, then calculates amplitude and phase angle
def lstsq(func,y,x):
#define starting values with x0
x0 = numpy.array([sum(y)/float(len(y)), 0.01, 0.01])
fit ,chks = optimization.leastsq(func, x0, args=(y, x))
amp = math.sqrt((fit[1]**2)+(fit[2]**2)) #amplitude
phi = numpy.arctan(-1*(fit[2],fit[1]))*(180/pi) #phase angle
return amp,phi,fit
#water level signal regression
WLO1 = lstsq(err3,zdata,xdata)
WLM2 = lstsq(err4,zdata,xdata)
#tide signal regression
TdO1 = lstsq(err3,ydata,xdata)
TdM2 = lstsq(err4,ydata,xdata)
#calculate phase shift
phase_sft_O1 = WLO1[1] - TdO1[1]
phase_sft_M2 = WLM2[1] - TdM2[1]
delt_O1 = (phase_sft_O1/(O1*360))*24
delt_M2 = (phase_sft_M2/(M2*360))*24
#determine tidal potential Cutillo and Bredehoeft 2010 pg 5 eq 4
f_O1 = math.sin(float(lat[1])*pi/180)*math.cos(float(lat[1])*pi/180)
f_M2 = 0.5*math.cos(float(lat[1])*pi/180)**2
A2_M2 = g_ft*Km*b_M2*f_M2
A2_O1 = g_ft*Km*b_O1*f_O1
#Calculate ratio of head change to change in potential
dW2_M2 = A2_M2/(WLM2[0])
dW2_O1 = A2_O1/(WLO1[0])
#estimate specific storage Cutillo and Bredehoeft 2010
def SS(rat):
return 6.95690250E-10*rat
Ss_M2 = SS(dW2_M2)
Ss_O1 = SS(dW2_O1)
def curv(Y,P,r):
rc = (r/12.0)*(r/12.0)
Y = Y
X = -1421.15/(0.215746 + Y) - 13.3401 - 0.000000143487*Y**4 - 9.58311E-16*Y**8*math.cos(0.9895 + Y + 1421.08/(0.215746 + Y) + 0.000000143487*Y**4)
T = (X*rc)/P
return T
Trans_M2 = curv(phase_sft_O1,P_M2,r)
Trans_O1 = curv(phase_sft_M2,P_O1,r)
###########################################################################
#
############################################ Calculate BP Response Function
#
###########################################################################
# create lag matrix for regression
bpmat = tools.lagmat(dbp, lag, original='in')
etmat = tools.lagmat(dt, lag, original='in')
#lamat combines lag matrices of bp and et
lamat = numpy.column_stack([bpmat,etmat])
#for i in range(len(etmat)):
# lagmat.append(bpmat[i]+etmat[i])
#transpose matrix to determine required length
#run least squared regression
sqrd = numpy.linalg.lstsq(bpmat,dwl)
#determine lag coefficients of the lag matrix lamat
sqrdlag = numpy.linalg.lstsq(lamat,dwl)
wlls = sqrd[0]
#lagls return the coefficients of the least squares of lamat
lagls = sqrdlag[0]
cumls = numpy.cumsum(wlls)
#returns cumulative coefficients of et and bp (lamat)
lagcumls =numpy.cumsum(lagls)
ymod = numpy.dot(bpmat,wlls)
lagmod = numpy.dot(lamat,lagls)
#resid gives the residual of the bp
resid=[]
for i in range(len(dwl)):
resid.append(dwl[i] - ymod[i])
#alpha returns the lag coefficients associated with bp
alpha = lagls[0:len(lagls)/2]
alpha_cum = numpy.cumsum(alpha)
#gamma returns the lag coefficients associated with ET
gamma = lagls[len(lagls)/2:len(lagls)]
gamma_cum = numpy.cumsum(gamma)
lag_time = []
for i in range(len(xls_date)):
lag_time.append((xls_date[i] - xls_date[0])*24)
######################################### determine slope of late time data
lag_trim1 = lag_time[0:len(cumls)]
lag_time_trim = lag_trim1[len(lag_trim1)-(len(lag_trim1)/2):len(lag_trim1)]
alpha_trim = alpha_cum[len(lag_trim1)-(len(lag_trim1)/2):len(lag_trim1)]
#calculate slope of late-time data
lag_len = len(lag_time_trim)
tran = numpy.array([lag_time_trim, numpy.ones(lag_len)])
reg_late = numpy.linalg.lstsq(tran.T,alpha_trim)[0]
late_line=[]
for i in range(len(lag_trim1)):
late_line.append(reg_late[0] * lag_trim1[i] + reg_late[1]) #regression line
######################################## determine slope of early time data
lag_time_trim2 = lag_trim1[0:len(lag_trim1)-int(round((len(lag_trim1)/1.5),0))]
alpha_trim2 = alpha_cum[0:len(lag_trim1)-int(round((len(lag_trim1)/1.5),0))]
lag_len1 = len(lag_time_trim2)
tran2 = numpy.array([lag_time_trim2, numpy.ones(lag_len1)])
reg_early = numpy.linalg.lstsq(tran2.T,alpha_trim2)[0]
early_line= []
for i in range(len(lag_trim1)):
early_line.append(reg_early[0] * lag_trim1[i] + reg_early[1]) #regression line
aquifer_type = []
if reg_early[0] > 0.001:
aquifer_type = 'borehole storage'
elif reg_early[0] < -0.001:
aquifer_type = 'unconfined conditions'
else:
aquifer_type = 'confined conditions'
###########################################################################
#
################################################################ Make Plots
#
###########################################################################
fig_1_lab = well_name + ' bp response function'
fig_2_lab = well_name + ' signal processing'
plt.figure(fig_1_lab)
plt.suptitle(fig_1_lab, x= 0.2, y=.99, fontsize='small')
plt.subplot(2,1,1)
#plt.plot(lag_time[0:len(cumls)],cumls, label='b.p. alone')
plt.plot(lag_time[0:len(cumls)],alpha_cum,"o", label='b.p. when \n considering e.t.')
# plt.plot(lag_time[0:len(cumls)],gamma_cum, label='e.t.')
plt.plot(lag_trim1, late_line, 'r-', label='late reg.')
plt.plot(lag_trim1, early_line, 'g-', label='early reg.')
plt.xlabel('lag (hr)')
plt.ylabel('cumulative response function')
plt.legend(loc=4,fontsize='small')
plt.subplot(2,1,2)
plt.plot(lag_time,dwl, label='wl', lw=2)
plt.plot(lag_time,ymod, label='wl modeled w bp')
plt.plot(lag_time,lagmod, 'r--', label='wl modeled w bp&et')
plt.legend(loc=4,fontsize='small')
plt.xlim(0,lag)
plt.ylabel('change (ft)')
plt.xlabel('time (hrs)')
plt.tight_layout()
plt.savefig('l'+ os.path.splitext(impfile)[0]+'.pdf')
plt.figure(fig_2_lab)
plt.suptitle(fig_2_lab, x=0.2, fontsize='small')
plt.title(os.path.splitext(impfile)[0])
plt.subplot(4,1,1)
plt.xcorr(yfilt_O1,zfilt_O1,maxlags=10)
plt.ylim(-1.1,1.1)
plt.tick_params(labelsize=8)
plt.xlabel('lag (hrs)',fontsize='small')
plt.ylabel('lag (hrs)',fontsize='small')
plt.title('Cross Correl O1',fontsize='small')
plt.subplot(4,1,2)
plt.xcorr(yfilt_M2,zfilt_M2,maxlags=10)
plt.ylim(-1.1,1.1)
plt.tick_params(labelsize=8)
plt.xlabel('lag (hrs)',fontsize='small')
plt.ylabel('lag (hrs)',fontsize='small')
plt.title('Cross Correl M2',fontsize='small')
plt.subplot(4,1,3)
plt.plot(zfftb,zffta)
plt.tick_params(labelsize=8)
plt.xlabel('frequency (cpd)',fontsize='small')
plt.ylabel('amplitude')
plt.title('WL fft',fontsize='small')
plt.xlim(0,4)
plt.ylim(0,30)
plt.subplot(4,1,4)
plt.plot(x0data,zdata, 'b')
plt.tick_params(labelsize=8)
plt.xlabel('julian days',fontsize='small')
plt.ylabel('water level (ft)',fontsize='small')
plt.twinx()
plt.plot(x0data,f3(WLO1[2],x0data), 'r')
plt.plot(x0data,f4(WLM2[2],x0data), 'g')
plt.tick_params(labelsize=8)
plt.xlim(0,10)
plt.ylabel('tidal strain (ppb)',fontsize='small')
plt.tick_params(labelsize=8)
plt.tight_layout()
plt.title('Regression Fit',fontsize='small')
plt.savefig('f'+ os.path.splitext(impfile)[0]+'.pdf')
plt.close()
###########################################################################
#Write output to files
###########################################################################
# create row of data for compiled output file info.csv
myCSVrow = [os.path.splitext(inpfile)[0],well_name, A2_O1, A2_M2, phase_sft_O1, phase_sft_M2, delt_O1,
delt_M2, Trans_M2, Trans_O1, Ss_O1, Ss_M2, WLO1[1], TdO1[1], WLM2[1], TdM2[1],
WLO1[0], TdO1[0], WLM2[0], TdM2[0], WLO1[2][1], TdO1[2][1], WLM2[2][1],
TdM2[2][1], WLO1[2][2], TdO1[2][2], WLM2[2][2], TdM2[2][2], reg_late[1], reg_early[0], aquifer_type, phsO1, phsM2]
# add data row to compiled output file
compfile = open('info.csv', 'a')
writer = csv.writer(compfile)
writer.writerow(myCSVrow)
compfile.close()
#export tidal data to individual (well specific) output file
with open(outfile, "wb") as f:
filewriter = csv.writer(f, delimiter=',')
#write header
header = ['xl_time','date_time','V_ugal','vert_mm','areal_mm','WDD_tam','potential','dilation_ppb','wl_ft','dbp','dwl','resid','bp','Tsoft_SG23']
filewriter.writerow(header)
for row in range(0,1):
for i in range(len(d)):
#you can add more columns here
filewriter.writerow([xls_date[i],d[i],Grav_tide[i],vert[i],areal[i],WDD_tam[i],potential[i],
dilation[i],wl[i],dbp[i],dwl[i],resid[i],bp[i],etint[i]])
################## fin #############################################
#run script on each file in processing directory
for f in os.listdir('C:\\PROJECTS\\Snake_Valley\\PYTHON\\PROCESSING'):
if f.endswith(".csv") and f[0] != 'c' and f[0] != 'p' and f[0] != 'i' and f[0] != 'd':
print os.path.splitext(f)[0]
tideproc(f,"ibpdata.csv","itidaltsoft.csv")