| 1 | # |
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| 2 | # earthquake_tsunami function |
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| 3 | # |
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| 4 | |
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| 5 | """This function returns a callable object representing an initial water |
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| 6 | displacement generated by a submarine earthqauke. |
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| 7 | |
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| 8 | Using input parameters: |
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| 9 | |
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| 10 | Required |
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| 11 | length along-stike length of rupture area |
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| 12 | width down-dip width of rupture area |
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| 13 | strike azimuth (degrees, measured from north) of fault axis |
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| 14 | dip angle of fault dip in degrees w.r.t. horizontal |
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| 15 | depth depth to base of rupture area |
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| 16 | |
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| 17 | Optional |
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| 18 | x0 x origin (0) |
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| 19 | y0 y origin (0) |
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| 20 | slip metres of fault slip (1) |
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| 21 | rake angle of slip (w.r.t. horizontal) in fault plane (90 degrees) |
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| 22 | |
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| 23 | The returned object is a callable okada function that represents |
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| 24 | the initial water displacement generated by a submarine earthuake. |
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| 25 | |
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| 26 | """ |
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| 27 | |
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| 28 | import numpy as num |
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| 29 | |
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| 30 | |
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| 31 | def earthquake_tsunami(length, width, strike, depth, \ |
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| 32 | dip, x0=0.0, y0=0.0, slip=1.0, rake=90.,\ |
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| 33 | domain=None, verbose=False): |
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| 34 | """ return a function representing a tsunami event |
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| 35 | """ |
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| 36 | |
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| 37 | from math import sin, radians |
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| 38 | |
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| 39 | if domain is not None: |
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| 40 | xllcorner = domain.geo_reference.get_xllcorner() |
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| 41 | yllcorner = domain.geo_reference.get_yllcorner() |
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| 42 | x0 = x0 - xllcorner # fault origin (relative) |
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| 43 | y0 = y0 - yllcorner |
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| 44 | |
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| 45 | #a few temporary print statements |
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| 46 | if verbose is True: |
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| 47 | print '\nThe Earthquake ...' |
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| 48 | print '\tLength: ', length |
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| 49 | print '\tDepth: ', depth |
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| 50 | print '\tStrike: ', strike |
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| 51 | print '\tWidth: ', width |
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| 52 | print '\tDip: ', dip |
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| 53 | print '\tSlip: ', slip |
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| 54 | print '\tx0: ', x0 |
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| 55 | print '\ty0: ', y0 |
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| 56 | |
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| 57 | # warning state |
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| 58 | # test = width*1000.0*sin(radians(dip)) - depth |
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| 59 | test = width*1000.0*sin(radians(dip)) - depth*1000 |
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| 60 | |
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| 61 | if test > 0.0: |
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| 62 | msg = 'Earthquake source not located below seafloor - check depth' |
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| 63 | raise Exception, msg |
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| 64 | |
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| 65 | return Okada_func(length=length, width=width, dip=dip, \ |
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| 66 | x0=x0, y0=y0, strike=strike, depth=depth, \ |
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| 67 | slip=slip, rake=rake) |
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| 68 | |
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| 69 | # |
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| 70 | # Okada class |
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| 71 | # |
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| 72 | |
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| 73 | """This is a callable class representing the initial water displacment |
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| 74 | generated by an earthquake. |
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| 75 | |
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| 76 | Using input parameters: |
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| 77 | |
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| 78 | Required |
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| 79 | length along-stike length of rupture area |
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| 80 | width down-dip width of rupture area |
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| 81 | strike azimuth (degrees, measured from north) of fault axis |
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| 82 | dip angle of fault dip in degrees w.r.t. horizontal |
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| 83 | depth depth to base of rupture area |
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| 84 | |
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| 85 | Optional |
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| 86 | x0 x origin (0) |
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| 87 | y0 y origin (0) |
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| 88 | slip metres of fault slip (1) |
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| 89 | rake angle of slip (w.r.t. horizontal) in fault plane (90 degrees) |
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| 90 | |
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| 91 | """ |
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| 92 | |
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| 93 | class Okada_func: |
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| 94 | |
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| 95 | def __init__(self, length, width, dip, x0, y0, strike, \ |
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| 96 | depth, slip, rake): |
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| 97 | self.dip = dip |
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| 98 | self.length = length |
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| 99 | self.width = width |
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| 100 | self.x0 = x0 |
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| 101 | self.y0 = y0 |
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| 102 | self.strike = strike |
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| 103 | self.depth = depth |
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| 104 | self.slip = slip |
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| 105 | self.rake = rake |
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| 106 | |
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| 107 | |
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| 108 | def __call__(self, x, y): |
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| 109 | """Make Okada_func a callable object. |
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| 110 | |
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| 111 | If called as a function, this object returns z values representing |
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| 112 | the initial 3D distribution of water heights at the points (x,y) |
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| 113 | produced by a submarine mass failure. |
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| 114 | """ |
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| 115 | |
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| 116 | from math import sin, cos, radians |
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| 117 | #from okada import okadatest |
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| 118 | |
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| 119 | #ensure vectors x and y have the same length |
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| 120 | N = len(x) |
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| 121 | assert N == len(y) |
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| 122 | |
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| 123 | depth = self.depth |
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| 124 | dip = self.dip |
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| 125 | length = self.length |
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| 126 | width = self.width |
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| 127 | x0 = self.x0 |
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| 128 | y0 = self.y0 |
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| 129 | strike = self.strike |
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| 130 | dip = self.dip |
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| 131 | rake = self.rake |
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| 132 | slip = self.slip |
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| 133 | |
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| 134 | #double Gaussian calculation assumes water displacement is oriented |
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| 135 | #E-W, so, for displacement at some angle alpha clockwise from the E-W |
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| 136 | #direction, rotate (x,y) coordinates anti-clockwise by alpha |
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| 137 | |
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| 138 | cosa = cos(radians(strike)) |
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| 139 | sina = sin(radians(strike)) |
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| 140 | |
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| 141 | xr = ( (x-x0) * sina + (y-y0) * cosa) |
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| 142 | yr = (-(x-x0) * cosa + (y-y0) * sina) |
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| 143 | |
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| 144 | # works on nautilus when have already done |
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| 145 | # f2py -c okada.f -m okada |
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| 146 | #z1 = okada(xr,yr,depth,length,width,dip,rake,slip) |
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| 147 | |
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| 148 | z2 = num.zeros(N, num.float) |
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| 149 | alp = 0.5 |
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| 150 | disl3 = 0.0 |
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| 151 | zero = 0.0 |
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| 152 | disl1 = slip*cos(radians(rake)) |
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| 153 | disl2 = slip*sin(radians(rake)) |
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| 154 | cd = cos(radians(dip)) |
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| 155 | sd = sin(radians(dip)) |
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| 156 | |
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| 157 | for i in range(N-1): |
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| 158 | self.SRECTF(alp, xr[i]*.001, yr[i]*.001, depth*.001, zero, length,\ |
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| 159 | zero, width, sd, cd, disl1, disl2, disl3) |
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| 160 | |
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| 161 | z2[i] = self.U3 |
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| 162 | |
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| 163 | return z2 |
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| 164 | |
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| 165 | def SRECTF(self,ALP,X,Y,DEP,AL1,AL2,AW1,AW2,SD,CD,DISL1,DISL2,DISL3): |
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| 166 | """ SURFACE DISPLACEMENT,STRAIN,TILT DUE TO RECTANGULAR FAULT |
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| 167 | IN A HALF-SPACE. CODED BY Y.OKADA ... JAN 1985 |
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| 168 | |
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| 169 | |
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| 170 | INPUT |
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| 171 | ALP : MEDIUM CONSTANT MYU/(LAMDA+MYU)=1./((VP/VS)**2-1) |
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| 172 | X,Y : COORDINATE OF STATION |
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| 173 | DEP : SOURCE DEPTH |
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| 174 | AL1,AL2 : FAULT LENGTH RANGE |
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| 175 | AW1,AW2 : FAULT WIDTH RANGE |
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| 176 | SD,CD : SIN,COS OF DIP-ANGLE |
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| 177 | (CD=0.D0, SD=+/-1.D0 SHOULD BE GIVEN FOR VERTICAL FAULT) |
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| 178 | DISL1,DISL2,DISL3 : STRIKE-, DIP- AND TENSILE-DISLOCATION |
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| 179 | |
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| 180 | OUTPUT |
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| 181 | U1, U2, U3 : DISPLACEMENT ( UNIT= UNIT OF DISL ) |
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| 182 | U11,U12,U21,U22 : STRAIN ( UNIT= UNIT OF DISL / |
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| 183 | U31,U32 : TILT UNIT OF X,Y,,,AW ) |
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| 184 | |
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| 185 | SUBROUTINE USED...SRECTG |
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| 186 | """ |
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| 187 | |
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| 188 | U = num.zeros(9, num.float) |
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| 189 | DU = num.zeros(9, num.float) |
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| 190 | |
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| 191 | F0 = 0.0 |
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| 192 | F1 = 1.0 |
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| 193 | |
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| 194 | P = Y*CD + DEP*SD |
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| 195 | Q = Y*SD - DEP*CD |
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| 196 | |
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| 197 | KVEC = [1,2] |
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| 198 | JVEC = [1,2] |
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| 199 | for K in KVEC: |
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| 200 | if K == 1: ET=P-AW1 |
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| 201 | if K == 2: ET=P-AW2 |
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| 202 | for J in JVEC: |
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| 203 | if J == 1: XI=X-AL1 |
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| 204 | if J == 2: XI=X-AL2 |
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| 205 | JK=J+K |
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| 206 | if JK != 3: |
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| 207 | SIGN= F1 |
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| 208 | else: |
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| 209 | SIGN=-F1 |
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| 210 | |
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| 211 | self.SRECTG(ALP,XI,ET,Q,SD,CD,DISL1,DISL2,DISL3) |
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| 212 | |
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| 213 | DU[0] = self.DU1 |
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| 214 | DU[1] = self.DU2 |
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| 215 | DU[2] = self.DU3 |
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| 216 | DU[3] = self.DU11 |
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| 217 | DU[4] = self.DU12 |
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| 218 | DU[5] = self.DU21 |
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| 219 | DU[6] = self.DU22 |
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| 220 | DU[7] = self.DU31 |
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| 221 | DU[8] = self.DU32 |
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| 222 | |
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| 223 | for i in range(len(U)): |
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| 224 | U[i]=U[i]+SIGN*DU[i] |
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| 225 | |
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| 226 | U1 = U[0] |
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| 227 | U2 = U[1] |
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| 228 | U3 = U[2] |
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| 229 | U11 = U[3] |
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| 230 | U12 = U[4] |
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| 231 | U21 = U[5] |
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| 232 | U22 = U[6] |
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| 233 | U31 = U[7] |
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| 234 | U32 = U[8] |
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| 235 | |
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| 236 | self.U3 = U3 |
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| 237 | |
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| 238 | def SRECTG(self,ALP,XI,ET,Q,SD,CD,DISL1,DISL2,DISL3): |
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| 239 | """ |
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| 240 | C |
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| 241 | C********************************************************************* |
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| 242 | C***** ***** |
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| 243 | C***** INDEFINITE INTEGRAL OF SURFACE DISPLACEMENT,STRAIN,TILT ***** |
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| 244 | C***** DUE TO RECTANGULAR FAULT IN A HALF-SPACE ***** |
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| 245 | C***** CODED BY Y.OKADA ... JAN 1985 ***** |
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| 246 | C***** ***** |
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| 247 | C********************************************************************* |
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| 248 | C |
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| 249 | C***** INPUT |
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| 250 | C***** ALP : MEDIUM CONSTANT MYU/(LAMDA+MYU)=1./((VP/VS)**2-1) |
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| 251 | C***** XI,ET,Q : FAULT COORDINATE |
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| 252 | C***** SD,CD : SIN,COS OF DIP-ANGLE |
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| 253 | C***** (CD=0.D0, SD=+/-1.D0 SHOULD BE GIVEN FOR VERTICAL FAULT) |
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| 254 | C***** DISL1,DISL2,DISL3 : STRIKE-, DIP- AND TENSILE-DISLOCATION |
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| 255 | C |
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| 256 | C***** OUTPUT |
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| 257 | C***** U1, U2, U3 : DISPLACEMENT ( UNIT= UNIT OF DISL ) |
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| 258 | C***** U11,U12,U21,U22 : STRAIN ( UNIT= UNIT OF DISL / |
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| 259 | C***** U31,U32 : TILT UNIT OF XI,ET,Q ) |
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| 260 | C |
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| 261 | """ |
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| 262 | |
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| 263 | from math import sqrt, atan, log, radians |
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| 264 | F0 = 0.0 |
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| 265 | F1 = 1.0 |
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| 266 | F2 = 2.0 |
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| 267 | PI2=6.283185307179586 |
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| 268 | |
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| 269 | XI2=XI*XI |
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| 270 | ET2=ET*ET |
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| 271 | Q2=Q*Q |
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| 272 | R2=XI2+ET2+Q2 |
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| 273 | R =sqrt(R2) |
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| 274 | R3=R*R2 |
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| 275 | D =ET*SD-Q*CD |
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| 276 | Y =ET*CD+Q*SD |
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| 277 | RET=R+ET |
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| 278 | if RET < F0: RET=F0 |
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| 279 | RD =R+D |
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| 280 | RRD=F1/(R*RD) |
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| 281 | |
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| 282 | if Q != F0: |
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| 283 | TT = atan( radians( XI*ET/(Q*R) )) |
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| 284 | else: |
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| 285 | TT = F0 |
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| 286 | |
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| 287 | if RET != F0: |
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| 288 | RE = F1/RET |
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| 289 | DLE= log(RET) |
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| 290 | else: |
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| 291 | RE = F0 |
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| 292 | DLE=-log(R-ET) |
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| 293 | |
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| 294 | RRX=F1/(R*(R+XI)) |
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| 295 | RRE=RE/R |
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| 296 | AXI=(F2*R+XI)*RRX*RRX/R |
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| 297 | AET=(F2*R+ET)*RRE*RRE/R |
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| 298 | |
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| 299 | if CD == 0: |
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| 300 | #C============================== |
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| 301 | #C===== INCLINED FAULT ===== |
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| 302 | #C============================== |
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| 303 | RD2=RD*RD |
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| 304 | A1=-ALP/F2*XI*Q/RD2 |
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| 305 | A3= ALP/F2*( ET/RD + Y*Q/RD2 - DLE ) |
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| 306 | A4=-ALP*Q/RD |
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| 307 | A5=-ALP*XI*SD/RD |
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| 308 | B1= ALP/F2* Q /RD2*(F2*XI2*RRD - F1) |
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| 309 | B2= ALP/F2*XI*SD/RD2*(F2*Q2 *RRD - F1) |
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| 310 | C1= ALP*XI*Q*RRD/RD |
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| 311 | C3= ALP*SD/RD*(XI2*RRD - F1) |
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| 312 | else: |
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| 313 | #C============================== |
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| 314 | #C===== VERTICAL FAULT ===== |
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| 315 | #C============================== |
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| 316 | TD=SD/CD |
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| 317 | X =sqrt(XI2+Q2) |
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| 318 | if XI == F0: |
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| 319 | A5=F0 |
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| 320 | else: |
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| 321 | A5= ALP*F2/CD*atan( radians((ET*(X+Q*CD)+X*(R+X)*SD) / \ |
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| 322 | (XI*(R+X)*CD) )) |
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| 323 | A4= ALP/CD*( log(RD) - SD*DLE ) |
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| 324 | A3= ALP*(Y/RD/CD - DLE) + TD*A4 |
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| 325 | A1=-ALP/CD*XI/RD - TD*A5 |
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| 326 | C1= ALP/CD*XI*(RRD - SD*RRE) |
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| 327 | C3= ALP/CD*(Q*RRE - Y*RRD) |
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| 328 | B1= ALP/CD*(XI2*RRD - F1)/RD - TD*C3 |
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| 329 | B2= ALP/CD*XI*Y*RRD/RD - TD*C1 |
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| 330 | |
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| 331 | A2=-ALP*DLE - A3 |
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| 332 | B3=-ALP*XI*RRE - B2 |
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| 333 | B4=-ALP*( CD/R + Q*SD*RRE ) - B1 |
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| 334 | C2= ALP*(-SD/R + Q*CD*RRE ) - C3 |
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| 335 | |
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| 336 | U1 =F0 |
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| 337 | U2 =F0 |
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| 338 | U3 =F0 |
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| 339 | U11=F0 |
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| 340 | U12=F0 |
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| 341 | U21=F0 |
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| 342 | U22=F0 |
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| 343 | U31=F0 |
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| 344 | U32=F0 |
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| 345 | |
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| 346 | if DISL1 != F0: |
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| 347 | #C====================================== |
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| 348 | #C===== STRIKE-SLIP CONTRIBUTION ===== |
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| 349 | #C====================================== |
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| 350 | UN=DISL1/PI2 |
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| 351 | REQ=RRE*Q |
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| 352 | U1 =U1 - UN*( REQ*XI + TT + A1*SD ) |
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| 353 | U2 =U2 - UN*( REQ*Y + Q*CD*RE + A2*SD ) |
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| 354 | U3 =U3 - UN*( REQ*D + Q*SD*RE + A4*SD ) |
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| 355 | U11=U11+ UN*( XI2*Q*AET - B1*SD ) |
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| 356 | U12=U12+ UN*( XI2*XI*( D/(ET2+Q2)/R3 - AET*SD ) - B2*SD ) |
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| 357 | U21=U21+ UN*( XI*Q/R3*CD + (XI*Q2*AET - B2)*SD ) |
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| 358 | U22=U22+ UN*( Y *Q/R3*CD + (Q*SD*(Q2*AET-F2*RRE) - \ |
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| 359 | (XI2+ET2)/R3*CD - B4)*SD ) |
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| 360 | U31=U31+ UN*(-XI*Q2*AET*CD + (XI*Q/R3 - C1)*SD ) |
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| 361 | U32=U32+ UN*( D*Q/R3*CD + (XI2*Q*AET*CD - SD/R + Y*Q/R3 - C2)*SD ) |
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| 362 | |
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| 363 | if DISL2 != F0: |
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| 364 | #C=================================== |
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| 365 | #C===== DIP-SLIP CONTRIBUTION ===== |
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| 366 | #C=================================== |
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| 367 | UN=DISL2/PI2 |
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| 368 | SDCD=SD*CD |
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| 369 | U1 =U1 - UN*( Q/R - A3*SDCD ) |
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| 370 | U2 =U2 - UN*( Y*Q*RRX + CD*TT - A1*SDCD ) |
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| 371 | U3 =U3 - UN*( D*Q*RRX + SD*TT - A5*SDCD ) |
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| 372 | U11=U11+ UN*( XI*Q/R3 + B3*SDCD ) |
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| 373 | U12=U12+ UN*( Y *Q/R3 - SD/R + B1*SDCD ) |
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| 374 | U21=U21+ UN*( Y *Q/R3 + Q*CD*RRE + B1*SDCD ) |
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| 375 | U22=U22+ UN*( Y*Y*Q*AXI - (F2*Y*RRX + XI*CD*RRE)*SD + B2*SDCD ) |
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| 376 | U31=U31+ UN*( D *Q/R3 + Q*SD*RRE + C3*SDCD ) |
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| 377 | U32=U32+ UN*( Y*D*Q*AXI - (F2*D*RRX + XI*SD*RRE)*SD + C1*SDCD ) |
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| 378 | |
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| 379 | if DISL3 != F0: |
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| 380 | #C======================================== |
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| 381 | #C===== TENSILE-FAULT CONTRIBUTION ===== |
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| 382 | #C======================================== |
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| 383 | UN=DISL3/PI2 |
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| 384 | SDSD=SD*SD |
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| 385 | U1 =U1 + UN*( Q2*RRE - A3*SDSD ) |
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| 386 | U2 =U2 + UN*(-D*Q*RRX - SD*(XI*Q*RRE - TT) - A1*SDSD ) |
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| 387 | U3 =U3 + UN*( Y*Q*RRX + CD*(XI*Q*RRE - TT) - A5*SDSD ) |
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| 388 | U11=U11- UN*( XI*Q2*AET + B3*SDSD ) |
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| 389 | U12=U12- UN*(-D*Q/R3 - XI2*Q*AET*SD + B1*SDSD ) |
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| 390 | U21=U21- UN*( Q2*(CD/R3 + Q*AET*SD) + B1*SDSD ) |
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| 391 | U22=U22- UN*((Y*CD-D*SD)*Q2*AXI - F2*Q*SD*CD*RRX - \ |
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| 392 | (XI*Q2*AET - B2)*SDSD ) |
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| 393 | U31=U31- UN*( Q2*(SD/R3 - Q*AET*CD) + C3*SDSD ) |
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| 394 | U32=U32- UN*((Y*SD+D*CD)*Q2*AXI + XI*Q2*AET*SD*CD - \ |
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| 395 | (F2*Q*RRX - C1)*SDSD ) |
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| 396 | |
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| 397 | self.DU1 = U1 |
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| 398 | self.DU2 = U2 |
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| 399 | self.DU3 = U3 |
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| 400 | |
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| 401 | self.DU11 = U11 |
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| 402 | self.DU12 = U12 |
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| 403 | |
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| 404 | self.DU21 = U21 |
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| 405 | self.DU22 = U22 |
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| 406 | |
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| 407 | self.DU31 = U31 |
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| 408 | self.DU32 = U32 |
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| 409 | |
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| 410 | def spoint(self,alp,x,y,dep,sd,cd,pot1,pot2,pot3): |
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| 411 | """ Calculate surface displacement, strain, tilt due to buried point |
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| 412 | source in a semiinfinite medium. Y. Okada Jan 1985 |
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| 413 | |
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| 414 | Input: |
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| 415 | |
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| 416 | ALP : MEDIUM CONSTANT MYU/(LAMDA+MYU)=1./((VP/VS)**2-1) |
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| 417 | X,Y : COORDINATE OF STATION |
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| 418 | DEP : SOURCE DEPTH |
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| 419 | SD,CD : SIN,COS OF DIP-ANGLE |
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| 420 | (CD=0.D0, SD=+/-1.D0 SHOULD BE GIVEN FOR VERTICAL FAULT) |
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| 421 | POT1,POT2,POT3 : STRIKE-, DIP- AND TENSILE-POTENCY |
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| 422 | POTENCY=( MOMENT OF DOUBLE-COUPLE )/MYU FOR POT1,2 |
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| 423 | POTENCY=(INTENSITY OF ISOTROPIC PART)/LAMDA FOR POT3 |
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| 424 | |
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| 425 | Output: |
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| 426 | |
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| 427 | U1, U2, U3 : DISPLACEMENT ( UNIT=(UNIT OF POTENCY) / |
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| 428 | : (UNIT OF X,Y,D)**2 ) |
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| 429 | U11,U12,U21,U22 : STRAIN ( UNIT= UNIT OF POTENCY) / |
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| 430 | U31,U32 : TILT (UNIT OF X,Y,D)**3 ) |
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| 431 | """ |
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| 432 | |
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| 433 | from math import sqrt |
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| 434 | |
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| 435 | F0 = 0.0 |
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| 436 | F1 = 1.0 |
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| 437 | F2 = 2.0 |
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| 438 | F3 = 3.0 |
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| 439 | F4 = 4.0 |
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| 440 | F5 = 5.0 |
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| 441 | F8 = 8.0 |
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| 442 | F9 = 9.0 |
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| 443 | PI2 = 6.283185307179586 |
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| 444 | |
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| 445 | D = DEP |
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| 446 | P = Y*CD + D*SD |
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| 447 | Q = Y*SD - D*CD |
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| 448 | S = P*SD + Q*CD |
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| 449 | X2 = X*X |
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| 450 | Y2 = Y*Y |
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| 451 | XY = X*Y |
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| 452 | D2 = D*D |
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| 453 | R2= X2 + Y2 + D2 |
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| 454 | R = sqrt(R2) |
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| 455 | R3 = R *R2 |
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| 456 | R5 = R3*R2 |
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| 457 | QR = F3*Q/R5 |
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| 458 | XR = F5*X2/R2 |
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| 459 | YR = F5*Y2/R2 |
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| 460 | XYR = F5*XY/R2 |
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| 461 | DR = F5*D /R2 |
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| 462 | RD = R + D |
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| 463 | R12 = F1/(R*RD*RD) |
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| 464 | R32 = R12*(F2*R + D)/ R2 |
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| 465 | R33 = R12*(F3*R + D)/(R2*RD) |
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| 466 | R53 = R12*(F8*R2 + F9*R*D + F3*D2)/(R2*R2*RD) |
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| 467 | R54 = R12*(F5*R2 + F4*R*D + D2)/R3*R12 |
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| 468 | |
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| 469 | A1 = ALP*Y*(R12-X2*R33) |
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| 470 | A2 = ALP*X*(R12-Y2*R33) |
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| 471 | A3 = ALP*X/R3 - A2 |
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| 472 | A4 = -ALP*XY*R32 |
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| 473 | A5 = ALP*( F1/(R*RD) - X2*R32 ) |
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| 474 | B1 = ALP*(-F3*XY*R33 + F3*X2*XY*R54) |
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| 475 | B2 = ALP*( F1/R3 - F3*R12 + F3*X2*Y2*R54) |
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| 476 | B3 = ALP*( F1/R3 - F3*X2/R5) - B2 |
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| 477 | B4 = -ALP*F3*XY/R5 - B1 |
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| 478 | C1 = -ALP*Y*(R32 - X2*R53) |
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| 479 | C2 = -ALP*X*(R32 - Y2*R53) |
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| 480 | C3 = -ALP*F3*X*D/R5 - C2 |
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| 481 | |
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| 482 | U1 = F0 |
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| 483 | U2 = F0 |
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| 484 | U3 = F0 |
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| 485 | U11= F0 |
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| 486 | U12= F0 |
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| 487 | U21= F0 |
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| 488 | U22= F0 |
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| 489 | U31= F0 |
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| 490 | U32= F0 |
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| 491 | |
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| 492 | #====================================== |
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| 493 | #===== STRIKE-SLIP CONTRIBUTION ===== |
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| 494 | #====================================== |
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| 495 | |
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| 496 | if POT1 != F0: |
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| 497 | UN = POT1/PI2 |
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| 498 | QRX = QR*X |
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| 499 | FX = F3*X/R5*SD |
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| 500 | U1 = U1 - UN*( QRX*X + A1*SD ) |
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| 501 | U2 = U2 - UN*( QRX*Y + A2*SD ) |
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| 502 | U3 = U3 - UN*( QRX*D + A4*SD ) |
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| 503 | |
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| 504 | U11 = U11 - UN * ( QRX* (F2-XR) + B1*SD ) |
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| 505 | U12 = U12 - UN * (-QRX*XYR + FX*X + B2*SD ) |
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| 506 | U21 = U21 - UN * ( QR*Y*(F1-XR) + B2*SD ) |
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| 507 | U22 = U22 - UN * ( QRX *(F1-YR) + FX*Y + B4*SD ) |
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| 508 | U31 = U31 - UN * ( QR*D*(F1-XR) + C1*SD ) |
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| 509 | U32 = U32 - UN * (-QRX*DR*Y + FX*D + C2*SD ) |
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| 510 | |
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| 511 | #====================================== |
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| 512 | #===== DIP-SLIP CONTRIBUTION ===== |
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| 513 | #====================================== |
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| 514 | |
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| 515 | if POT2 != F0: |
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| 516 | UN = POT2/PI2 |
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| 517 | SDCD = SD*CD |
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| 518 | QRP = QR*P |
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| 519 | FS = F3*S/R5 |
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| 520 | U1 = U1 - UN*( QRP*X - A3*SDCD ) |
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| 521 | U2 = U2 - UN*( QRP*Y - A1*SDCD ) |
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| 522 | U3 = U3 - UN*( QRP*D - A5*SDCD ) |
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| 523 | U11 = U11- UN*( QRP*(F1-XR) - B3*SDCD ) |
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| 524 | U12 = U12- UN*(-QRP*XYR + FS*X - B1*SDCD ) |
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| 525 | U21 = U21- UN*(-QRP*XYR - B1*SDCD ) |
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| 526 | U22 = U22- UN*( QRP*(F1-YR) + FS*Y - B2*SDCD ) |
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| 527 | U31 = U31- UN*(-QRP*DR*X - C3*SDCD ) |
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| 528 | U32 = U32- UN*(-QRP*DR*Y + FS*D - C1*SDCD ) |
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| 529 | |
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| 530 | #======================================== |
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| 531 | #===== TENSILE-FAULT CONTRIBUTION ===== |
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| 532 | #======================================== |
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| 533 | |
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| 534 | if POT3 != F0: |
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| 535 | UN = POT3/PI2 |
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| 536 | SDSD = SD*SD |
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| 537 | QRQ = QR*Q |
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| 538 | FQ = F2*QR*SD |
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| 539 | U1 = U1 + UN*( QRQ*X - A3*SDSD ) |
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| 540 | U2 = U2 + UN*( QRQ*Y - A1*SDSD ) |
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| 541 | U3 = U3 + UN*( QRQ*D - A5*SDSD ) |
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| 542 | U11 = U11+ UN*( QRQ*(F1-XR) - B3*SDSD ) |
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| 543 | U12 = U12+ UN*(-QRQ*XYR + FQ*X - B1*SDSD ) |
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| 544 | U21 = U21+ UN*(-QRQ*XYR - B1*SDSD ) |
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| 545 | U22 = U22+ UN*( QRQ*(F1-YR) + FQ*Y - B2*SDSD ) |
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| 546 | U31 = U31+ UN*(-QRQ*DR*X - C3*SDSD ) |
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| 547 | U32 = U32+ UN*(-QRQ*DR*Y + FQ*D - C1*SDSD ) |
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| 548 | |
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