Kriging Por Bloque(Modelo Cuadratico)
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KRIG 1) DATOS PARA ANALISIS PARAMETROS PARA LA GRAFICA LLENAR COORDENASA DE LAS MUESTRAS COORDENADAS MUESTRA X Y xi Z(xi) % 200 200 23.68 150 300 24.43 50 200 27.67 150 0 25.91 50 50 26.52 150 100 28.31 0 100 28.43 100 150 20.51 300 300 28.34 x10 0 250 x10 26.85 x11 300 50 x11 21.68 x12 250 150 x12 24.75 x13 x13 x 1 x 1 x 2 x 2 x 3 x 3 x 4 x 4 x 5 x 5 x 6 x 6 x 7 x 7 x 8 x 8 x 9 x 9 0 50 100 150 200 250 300 0 50 100 150 200 250 300 350 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 X12
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Ejemplo de aplicación del la estimación de leyes por medio de Kriging por Bloques ( modelo cuadrático )
Transcript of Kriging Por Bloque(Modelo Cuadratico)
KRIGING POR BLOQUES
1) DATOS PARA ANALISIS
PARAMETROS PARA LA GRAFICA
LLENAR COORDENASA DE LAS MUESTRASCOORDENADAS
MUESTRA X Y xi Z(xi) %200 200 23.68150 300 24.4350 200 27.67
150 0 25.9150 50 26.52
150 100 28.310 100 28.43
100 150 20.51300 300 28.34
x10 0 250 x10 26.85x11 300 50 x11 21.68x12 250 150 x12 24.75x13 x13
x 1 x 1x 2 x 2x 3 x 3x 4 x 4x 5 x 5x 6 x 6x 7 x 7x 8 x 8x 9 x 9
0 50 100 150 200 250 300 3500
50
100
150
200
250
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350
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X2
X3
X4
X5
X6X7
X8
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X10
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X12
x14 x14x15 x15x16 x16x17 x17x18 x18x19 x19x20 x20x21 x21x22 x22x23 x23x24 x24x25 x25x26 x26x27 x27x28 x28x29 x29x30 x30x31 x31x32 x32x33 x33x34 x34x35 x35x36 x36x37 x37x38 x38x39 x39x40 x40x41 x41x42 x42x43 x43x44 x44x45 x45x46 x46x47 x47x48 x48x49 x49x50 x50x51 x51x52 x52x53 x53x54 x54x55 x55x56 x56x57 x57x58 x58x59 x59
x60 x60x61 x61x62 x62x63 x63x64 x64x65 x65x66 x66x67 x67x68 x68x69 x69x70 x70x71 x71x72 x72x73 x73x74 x74x75 x75x76 x76x77 x77x78 x78x79 x79x80 x80x81 x81x82 x82x83 x83x84 x84x85 x85x86 x86x87 x87x88 x88x89 x89x90 x90x91 x91x92 x92x93 x93x94 x94x95 x95x96 x96x97 x97x98 x98x99 x99
x100 x100x101 x101x102 x102x103 x103x104 x104x105 x105
x106 x106x107 x107x108 x108x109 x109x110 x110x111 x111x112 x112x113 x113x114 x114x115 x115x116 x116x117 x117x118 x118x119 x119x120 x120x121 x121x122 x122x123 x123x124 x124x125 x125x126 x126x127 x127x128 x128x129 x129x130 x130x131 400 100 x131x132 x132x133 x133x134 x134x135 x135x136 x136x137 x137x138 x138x139 x139x140 x140x141 x141x142 x142x143 x143x144 x144x145 x145x146 x146x147 x147x148 x148x149 x149x150 x150x151 x151
x152 x152x153 x153x154 x154x155 x155x156 x156x157 x157x158 x158x159 x159x160 x160x161 x161x162 x162x163 x163x164 x164x165 x165x166 x166x167 x167x168 x168x169 x169x170 x170x171 x171x172 x172x173 x173x174 x174x175 x175x176 x176x177 x177x178 x178x179 x179x180 x180x181 x181x182 x182x183 x183x184 x184x185 x185x186 x186x187 x187x188 x188x189 x189x190 x190x191 x191x192 x192x193 x193x194 x194x195 x195x196 x196x197 x197
x198 x198x199 x199x200 x200x201 x201x202 x202x203 x203x204 x204x205 x205x206 x206x207 x207x208 x208x209 x209x210 x210x211 x211x212 x212x213 x213x214 x214x215 x215x216 x216x217 x217x218 x218x219 x219x220 x220x221 x221x222 x222x223 x223x224 x224x225 x225x226 x226x227 x227x228 x228x229 x229x230 x230x231 x231x232 x232x233 x233x234 x234x235 x235x236 x236x237 x237x238 x238x239 x239x240 x240x241 x241x242 x242x243 x243
x244 x244x245 x245x246 x246x247 x247x248 x248x249 x249x250 x250x251 x251x252 x252x253 x253x254 x254x255 x255x256 x256x257 x257x258 x258x259 x259x260 x260x261 x261x262 x262x263 x263x264 x264x265 x265x266 x266x267 x267x268 x268x269 x269x270 x270x271 x271x272 x272x273 x273x274 x274x275 x275x276 x276x277 x277x278 x278x279 x279x280 x280x281 x281x282 x282x283 x283x284 x284x285 x285x286 x286x287 x287x288 x288x289 x289
x290 x290x291 x291x292 x292x293 x293x294 x294x295 x295x296 x296x297 x297x298 x298x299 x299x300 x300x301 x301x302 x302x303 x303x304 x304x305 x305x306 x306x307 x307x308 x308x309 x309x310 x310x311 x311x312 x312x313 x313x314 x314x315 x315x316 x316x317 x317x318 x318x319 x319x320 x320x321 x321x322 x322x323 x323x324 x324x325 x325x326 x326x327 x327x328 x328x329 x329x330 x330x331 x331x332 x332x333 x333x334 x334x335 x335
x336 x336x337 x337x338 x338x339 x339x340 x340x341 x341x342 x342x343 x343x344 x344x345 x345x346 x346x347 x347x348 x348x349 x349x350 x350x351 x351x352 x352x353 x353x354 x354x355 x355x356 x356x357 x357x358 x358x359 x359x360 x360x361 x361x362 x362x363 x363x364 x364x365 x365x366 x366x367 x367x368 x368x369 x369x370 x370x371 x371x372 x372x373 x373x374 x374x375 x375x376 x376x377 x377x378 x378x379 x379x380 x380x381 x381
x382 x382x383 x383x384 x384x385 x385x386 x386x387 x387x388 x388x389 x389x390 x390x391 x391x392 x392x393 x393x394 x394x395 x395x396 x396x397 x397x398 x398x399 x399x400 x400x401 x401x402 x402x403 x403x404 x404x405 x405x406 x406x407 x407x408 x408x409 x409x410 x410x411 x411x412 x412x413 x413x414 x414x415 x415x416 x416x417 x417x418 x418x419 x419x420 x420x421 x421x422 x422x423 x423x424 x424x425 x425x426 x426x427 x427
x428 x428x429 x429x430 x430x431 x431x432 x432x433 x433x434 x434x435 x435x436 x436x437 x437x438 x438x439 x439x440 x440x441 x441x442 x442x443 x443x444 x444x445 x445x446 x446x447 x447x448 x448x449 x449x450 x450x451 x451x452 x452x453 x453x454 x454x455 x455x456 x456x457 x457x458 x458x459 x459x460 x460x461 x461x462 x462x463 x463x464 x464x465 x465x466 x466x467 x467x468 x468x469 x469x470 x470x471 x471x472 x472x473 x473
x474 x474x475 x475x476 x476x477 x477x478 x478x479 x479x480 x480x481 x481x482 x482x483 x483x484 x484x485 x485x486 x486x487 x487x488 x488x489 x489x490 x490x491 x491x492 x492x493 x493x494 x494x495 x495x496 x496x497 x497x498 x498x499 x499x500 x500
KRIGING POR BLOQUES
2) KRIGEAR EL YACIMIENTO SEGÚN EL MODELO
MODELO CUADRATICO
C1= 17.98
C0= 0
a= 250
GRAFICO INTERACTIVO
X YBLOQUE= 30 30
RADIO= 400 metrosDISTANCIA DEL BLOQUE= 60 metros
x 1x 2x 3x 4x x 1x 2x 3x 4x 5x 6x 7x 8x 9x10x11x12x13113
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CALCULAR
aha
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Err:509
matriz
A #VALUE!
17.9 12.485801 15.1 17.42698 17.57 ###17.98 0 14.59 17.98 17.98 ###16.16 14.588448 0 17.7796 15.1 ### = Err:509 Err:50913.39 17.98 17.78 0 12.49 ###4.217 17.98 15.1 12.4858 0 ###### 17.2608 14.59 11.5072 12.49 ###
0 17.901026 15.1 17.42698 17.57 ###12.49 17.98 14.59 17.98 17.98 ###15.1 16.157992 0 17.7796 15.1 ### = Err:509 Err:509
17.43 13.392794 17.78 0 12.49 ###17.57 4.2173608 15.1 12.4858 0 ###12.49 Err:509 14.59 11.5072 12.49 ###
0 12.485801 17.9 17.42698 17.57 ###12.49 0 17.98 17.98 17.98 ###15.1 14.588448 16.16 17.7796 15.1 ### = Err:509 Err:509
17.43 17.98 13.39 0 12.49 ###17.57 17.98 4.217 12.4858 0 ###12.49 17.2608 ### 11.5072 12.49 ###
0 12.485801 15.1 17.90103 17.57 ###12.49 0 14.59 17.98 17.98 ###15.1 14.588448 0 16.15799 15.1 ### Err:509 Err:509
17.43 17.98 17.78 13.39279 12.49 ###17.57 17.98 15.1 4.217361 0 ###12.49 17.2608 14.59 Err:509 12.49 ###
0 12.485801 15.1 17.42698 17.9 ###12.49 0 14.59 17.98 17.98 ###15.1 14.588448 0 17.7796 16.16 ### = Err:509 Err:509
17.43 17.98 17.78 0 13.39 ###17.57 17.98 15.1 12.4858 4.217 ###12.49 17.2608 14.59 11.5072 ### ###
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ll
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0 12.485801 15.1 17.42698 17.57 17.912.49 0 14.59 17.98 17.98 17.9815.1 14.588448 0 17.7796 15.1 16.16 = Err:509 Err:509
17.43 17.98 17.78 0 12.49 13.3917.57 17.98 15.1 12.4858 0 4.21712.49 17.2608 14.59 11.5072 12.49 ###
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d X X Y Yi 1 2
2
1 2
2
PARA BLOQUES PARA EL CIRCULO
COORDENADAS COORDENADAS numero de muestras
BLOQUE X Y X Y 11 30 30 0 430 30 22 30 90 10 423.923 99.4593 33 30 150 20 405.877 166.808 44 30 210 30 376.41 230 55 30 270 40 336.418 287.115 66 30 330 50 287.115 336.418 77 90 30 60 230 376.41 88 90 90 70 166.808 405.877 99 90 150 80 99.4593 423.923 10
10 90 210 90 30 430 1111 90 270 100 -39.459 423.923 1212 90 330 110 -106.81 405.877 1313 150 30 120 -170 376.41 1414 150 90 130 -227.12 336.418 1515 150 150 140 -276.42 287.115 1616 150 210 150 -316.41 230 1717 150 270 160 -345.88 166.808 1818 150 330 170 -363.92 99.4593 1919 210 30 180 -370 30 2020 210 90 190 -363.92 -39.459 2121 210 150 200 -345.88 -106.81 2222 210 210 210 -316.41 -170 2323 210 270 220 -276.42 -227.12 2424 210 330 230 -227.12 -276.42 2525 270 30 240 -170 -316.41 2626 270 90 250 -106.81 -345.88 2727 270 150 260 -39.459 -363.92 2828 270 210 270 30 -370 2929 270 270 280 99.4593 -363.92 3030 270 330 290 166.808 -345.88 3131 330 30 300 230 -316.41 3232 330 90 310 287.115 -276.42 3333 330 150 320 336.418 -227.12 3434 330 210 330 376.41 -170 3535 330 270 340 405.877 -106.81 3636 330 330 350 423.923 -39.459
360 430 30
numero de muestras PARA EL CONTORNO
23 X Y4 0 04 300 03 300 3002 0 3004 0 055 PARA LOS PUNTOS
5 X Y4 4 45 153 2 45 453 1 15 454 3 15 1554 PARA EL BLOQUE
4 X Y3 60 02 60 604 0 604 0 04 60 042 BLOQUE 23 X Y
4 30 30 ESTO MANDA4 Err:508 Err:508
343123232
3) PROCEDIMIENTO PARA UN BLOQUE MODELO CUADRATICOC1= 17.98
Muestras dentro del radio 400 C0= 013 muestras S= 17.98
(x 1x 2x 3x 4x 5x 6x 7x 8x 9x10x11x12 a= 250
MATRIZ DE DISTANCIAS
V \ V x 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9
x 1 0 111.803 150 206.155 212.132 111.803 223.607 111.803 141.421x 2 111.803 0 141.421 300 269.258 200 250 158.114 150x 3 150 141.421 0 223.607 150 141.421 111.803 70.7107 269.258
x 4 206.155 300 223.607 0 111.803 100 180.278 158.114 335.41
x 5 212.132 269.258 150 111.803 0 111.803 70.7107 111.803 353.553x 6 111.803 200 141.421 100 111.803 0 150 70.7107 250x 7 223.607 250 111.803 180.278 70.7107 150 0 111.803 360.555x 8 111.803 158.114 70.7107 158.114 111.803 70.7107 111.803 0 250x 9 141.421 150 269.258 335.41 353.553 250 360.555 250 0x10 206.155 158.114 70.7107 291.548 206.155 212.132 150 141.421 304.138x11 180.278 291.548 291.548 158.114 250 158.114 304.138 223.607 250
MATRIZ DE VARIOGRAMAS
V \ V x 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9
x 1 0 12.4858 15.1032 17.427 17.5675 12.4858 17.7796 12.4858 14.5884
x 2 12.4858 0 14.5884 17.98 17.98 17.2608 17.98 15.5511 15.1032
x 3 15.1032 14.5884 0 17.7796 15.1032 14.5884 12.4858 8.73262 17.98
x 4 17.427 17.98 17.7796 0 12.4858 11.5072 16.5815 15.5511 17.98
x 5 17.5675 17.98 15.1032 12.4858 0 12.4858 8.73262 12.4858 17.98
x 6 12.4858 17.2608 14.5884 11.5072 12.4858 0 15.1032 8.73262 17.98
x 7 17.7796 17.98 12.4858 16.5815 8.73262 15.1032 0 12.4858 17.98x 8 12.4858 15.5511 8.73262 15.5511 12.4858 8.73262 12.4858 0 17.98x 9 14.5884 15.1032 17.98 17.98 17.98 17.98 17.98 17.98 0x10 17.427 15.5511 8.73262 17.98 17.427 17.5675 15.1032 14.5884 17.98x11 16.5815 17.98 17.98 15.5511 17.98 15.5511 17.98 17.7796 17.98
REGRESAR
MATRIZ DE DISTANCIAS MATRIZ DE DISTANCIASx10 x11 V \ B 1 2 3 4 B \ B
206.155 180.278 x 1 241.35 219.203 261.63 241.35 1158.114 291.548 x 2 288.531 275.772 315.357 303.727 270.7107 291.548 x 3 158.902 155.081 188.282 185.068 3291.548 158.114 x 4 142.302 114.237 135.831 106.066 4206.155 250 x 5 35.3553 7.07107 49.4975 35.3553212.132 158.114 x 6 145.774 118.533 159.531 135.093
150 304.138 x 7 57.0088 71.0634 86.3134 96.1769141.421 223.607 x 8 135.093 118.533 159.531 145.774304.138 250 x 9 382.426 360.624 403.051 382.426
0 360.555 x10 205.548 209.881 235.478 239.27360.555 0 x11 285.044 255.049 287.141 257.391
MATRIZ DE VARIOGRAMAS MATRIZ DE VARIOGRAMASx10 x11 V \ B 1 2 3 4 PROM B \ B
17.427 16.5815 x 1 17.9585 17.7072 17.98 17.9585 17.901 115.5511 17.98 x 2 17.98 17.98 17.98 17.98 17.98 28.73262 17.98 x 3 15.5926 15.3881 16.8842 16.7671 16.158 3
17.98 15.5511 x 4 14.6433 12.6776 14.2302 12.0201 13.3928 417.427 17.98 x 5 4.72591 1.00272 6.4149 4.72591 4.21736
17.5675 15.5511 x 6 14.8549 13.0078 15.6254 14.1816 14.4174
15.1032 17.98 x 7 7.26518 8.76897 10.2721 11.173 9.3698214.5884 17.7796 x 8 14.1816 13.0078 15.6254 14.8549 14.4174
17.98 17.98 x 9 17.98 17.98 17.98 17.98 17.980 17.98 x10 17.4116 17.517 17.9193 17.9469 17.6987
17.98 0 x11 17.98 17.98 17.98 17.98 17.98
14.9553VB
MATRIZ DE DISTANCIAS1 2 3 40 30 30 42.4264
30 0 42.4264 3030 42.4264 0 30
42.4264 30 30 0
MATRIZ DE VARIOGRAMAS1 2 3 4 PROM0 4.05629 4.05629 5.58479 3.4243
4.05629 0 5.58479 4.05629 3.42434.05629 5.58479 0 4.05629 3.42435.58479 4.05629 4.05629 0 3.4243
3.42434BB
SISTEMA DE ECUACIONES
l 1 l 2 l 3 l 4 l 5 l 6
0 12.4858 15.1032 17.42698 17.56747 12 l 1 17.90112.4858 0 14.58845 17.98 17.98 17 l 2 17.9815.1032 14.58845 0 17.7796 15.1032 15 l 3 16.158
17.42698 17.98 17.7796 0 12.4858 12 l 4 13.39317.56747 17.98 15.1032 12.4858 0 12 l 5 4.217412.4858 17.2608 14.58845 11.5072 12.4858 0 l 6 14.41717.7796 17.98 12.4858 16.58152 8.732624 15 l 7 9.369812.4858 15.5511 8.732624 15.5511 12.4858 8.73 l 8 14.417
14.58845 15.1032 17.98 17.98 17.98 18 l 9 17.9817.42698 15.5511 8.732624 17.98 17.42698 18 l10 17.69916.58152 17.98 17.98 15.5511 17.98 16 l11 17.988.732624 16.58152 17.42698 16.58152 17.7796 12 l12 17.951
REGRESAR
Error de Estimacion Ley PromedioRESULTADOS
Muestras Muestras
l 1 ### l 1 17.901 ### #VALUE! x 1l 2 ### l 2 17.98 ### #VALUE! x 2l 3 ### l 3 16.158 ### #VALUE! x 3l 4 ### l 4 13.393 ### #VALUE! x 4l 5 ### l 5 4.2174 ### #VALUE! x 5l 6 ### l 6 14.417 ### #VALUE! x 6l 7 ### l 7 9.3698 ### #VALUE! x 7l 8 ### l 8 14.417 ### #VALUE! x 8l 9 ### l 9 17.98 ### #VALUE! x 9l10 ### l10 17.699 ### #VALUE! x10l11 ### l11 17.98 ### #VALUE! x11l12 ### l12 17.951 ### #VALUE! x12
VB li VB*li
Ley PromedioZ(xi) %
23.68 ### #VALUE!24.43 ### #VALUE!27.67 ### #VALUE!25.91 ### #VALUE!26.52 ### #VALUE!28.31 ### #VALUE!28.43 ### #VALUE!20.51 ### #VALUE!28.34 ### #VALUE!26.85 ### #VALUE!21.68 ### #VALUE!24.75 ### #VALUE!
li Z(xi) *li
REGRESAR
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PROGRAMA PARA EL CALCULO DE KRIGING POR BLOQUES
INGRESE DATOS
PUNTO(X,Y) 30 30
60
RADIO BUSQ.= 400
SALIDA DE DATOS
Nº DE MUESTRAS = 13Muestras en el radio de 125mx 1x 2x 3x 4x 5x 6x 7x 8x 9x10x11x12Nº de ECUACIONES = 1
RESULTADOSl 1 #VALUE!l 2 #VALUE!l 3 #VALUE!l 4 #VALUE!l 5 #VALUE!l 6 #VALUE!l 7 #VALUE!l 8 #VALUE!
l 9 #VALUE! Error de Estimacionl10 #VALUE!
l11 #VALUE!
l12 #VALUE!
l13 #VALUE!
#VALUE!
DIMENSION = DEL BLOQUE
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Error de Estimacion Ley Promedio
= #VALUE! = ###
= #VALUE!
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REGRESAR
