forked from msweier/QGISflowEstimator
-
Notifications
You must be signed in to change notification settings - Fork 0
/
openChannel.py
163 lines (141 loc) · 5.75 KB
/
openChannel.py
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
# -*- coding: utf-8 -*-
"""
Created on Tue May 5 16:26:25 2015
@author: mweier
"""
from __future__ import print_function
#import matplotlib.pyplot as plt
from builtins import range
import numpy as np
def channelBuilder(wsDepth, rightSS, leftSS, widthBottom):
"""
Builds trapezoidal channel station/elevation array given depth,
right side slope, left side slope, and bottom width
"""
leftToe = wsDepth*1.25*leftSS
rightToe = wsDepth*1.25*rightSS
staElev = np.array([(0.0, wsDepth*1.25), (leftToe, 0.0), (leftToe+widthBottom, 0.0), (leftToe+widthBottom+rightToe, wsDepth*1.25)])
return staElev
def lineIntersection(line1, line2):
xdiff = (line1[0][0] - line1[1][0], line2[0][0] - line2[1][0])
ydiff = (line1[0][1] - line1[1][1], line2[0][1] - line2[1][1])
def det(a, b):
return a[0] * b[1] - a[1] * b[0]
div = det(xdiff, ydiff)
if div == 0:
x = y = np.nan
# print 'lines do not intersect'
return x, y
d = (det(*line1), det(*line2))
x = det(d, xdiff) / div
y = det(d, ydiff) / div
return x, y
def polygonArea(corners):
area = 0.0
for i in range(len(corners)):
j = (i + 1) % len(corners)
area += corners[i][0] * corners[j][1]
area -= corners[j][0] * corners[i][1]
area = abs(area) / 2.0
return area
def channelPerimeter(corners):
P = 0.0
for i in range(len(corners)-1):
P += np.sqrt((np.power((corners[i+1][0]-corners[i][0]),2) + np.power((corners[i+1][1]-corners[i][1]),2)))
return P
def flowEstimator(wsElev, n, channelSlope, **kwargs):
"""
Estimates uniform flow using the Manning equation for
a user defined trapezoidal channel or a manually defined channel using
a station/elevation file
"""
if kwargs.get("elevFile") is not None:
staElev = np.genfromtxt(kwargs.get("elevFile"), delimiter = '\t')
elif kwargs.get("staElev") is not None:
staElev = kwargs.get("staElev")
elif kwargs.get("widthBottom") and kwargs.get("rightSS") and kwargs.get("leftSS") > 0:
staElev = channelBuilder(wsElev, kwargs.get("rightSS"), kwargs.get("leftSS"), kwargs.get("widthBottom"))
else:
# fix_print_with_import
print("""
Whoops, wrong input
""")
return
if kwargs.get("units") == "m":
const = 1.0
else:
const = 1.4859
intersectList = []
for i in range(0, len(staElev)):
x, y = lineIntersection((staElev[i-1], staElev[i]), ([staElev[0][0],wsElev], [staElev[-1][0],wsElev]))
if x >= staElev[i-1][0] and x <= staElev[i][0] and abs(y - wsElev)<0.01:
if staElev[i,0] == staElev[i-1,0]:
if min(staElev[i,1], staElev[i-1,1]) <= y <= max(staElev[i,1], staElev[i-1,1]):
intersectList.append((x,y))
else:
#print x,y
intersectList.append((x,y))
else:
#print 'line segments do not intersect'
pass
intersectArray = np.array(intersectList)
intersectArray = intersectArray[intersectArray[:,0].argsort()]
if len(intersectArray) > 2:
# fix_print_with_import
print('more than two points intersect')
staMinElev = staElev[np.where(staElev[:,1]==min(staElev[:,1]))][0][0]
startPoint = intersectArray[np.where(intersectArray[:,0]<staMinElev)][-1]
endPoint = intersectArray[np.where(intersectArray[:,0]>staMinElev)][0]
intersectArray = np.vstack([startPoint, endPoint])
staMin = np.min(intersectArray[:,0])
staMax = np.max(intersectArray[:,0])
thalweig = staElev[np.where(staElev[:,1] == np.min(staElev[:,1]))]
minElev = thalweig[:,1][0]
maxDepth = wsElev-minElev
staElevTrim = np.vstack([intersectArray[0], staElev, intersectArray[1]])
#staElevTrim = staElevTrim[staElevTrim[:,0].argsort()]
staElevTrim = staElevTrim[np.where((staElevTrim[:,0]>=staMin) & (staElevTrim[:,0]<=staMax))]
area = polygonArea(staElevTrim)
R = area/channelPerimeter(staElevTrim)
v = (const/n)*np.power(R,(2./3.0))*np.sqrt(channelSlope)
Q = v*area
topWidth = staMax-staMin
xGround = staElev[:,0]
yGround = staElev[:,1]
yGround0 = np.ones(len(xGround))*np.min(yGround)
xWater = staElevTrim[:,0]
yWater = np.ones(len(xWater))*wsElev
yWater0 = staElevTrim[:,1]
args = R, area, topWidth, Q, v, maxDepth, xGround, yGround, yGround0, xWater, yWater, yWater0
return args
#def plotter(args):
# R, area, topWidth, Q, v, xGround, yGround, yGround0, xWater, yWater, yWater0 = args
# plt.plot(xGround, yGround, '0.9')
# plt.fill_between(xGround, yGround, yGround0, where=yGround>yGround0, facecolor='0.9', interpolate=True)
# plt.plot(xWater, yWater, 'blue')
# plt.fill_between(xWater, yWater, yWater0, where=yWater>=yWater0, facecolor='blue', interpolate=True, alpha = 0.1)
# plt.xlabel('Station')
# plt.ylabel('Elevation')
# plt.show()
# print
# print 'Hydraulic Radius = ',R
# print 'Area = ',area, 'sq ft'
# print 'Top Width = ',topWidth, 'ft'
# print 'Flow = ',Q, 'cfs'
# print 'Velocity = ',v, 'ft/s'
#wsElev = 10.
#n = 0.040
#channelSlope = 0.0005
#
#elevFile = '/Users/mweier/Desktop/XScsv.txt'
#
#widthBottom = 40.
#rightSS = 5. #eg 2:1
#leftSS = 5. #eg 2:1
#
#R, area, topWidth, Q, v, xGround, yGround, yGround0, xWater, yWater, yWater0= flowEstimator(wsElev, n, channelSlope, widthBottom = 40., rightSS = 5., leftSS = 5.)
#plotter(R, area, topWidth, Q, v, xGround, yGround, yGround0, xWater, yWater, yWater0)
#
#
#R, area, topWidth, Q, v, xGround, yGround, yGround0, xWater, yWater, yWater0 = flowEstimator(1900.25, n, channelSlope, elevFile = elevFile)
#plotter(R, area, topWidth, Q, v, xGround, yGround, yGround0, xWater, yWater, yWater0)