bfc88742-4e6a-453b-883d-4dce7aead5c8 8 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Example of Pump Curve Fit

gpm 64128192256320384448512576640704768832896114 mat transpose :

head 7574726966625853484235282011114 mat transpose :

List of functions to make X matrix

gpm φ 1 gpm gpm 2^31 mat :

n gpm length :

n 14

k gpm φ length :

k 3

j 1 k range i 1 n range XD i j el gpm i el φ j el : for for

XD 16440961128163841192368641256655361320 1.024 105^* 1384 1.4746 105^* 1448 2.007 105^* 1512 2.6214 105^* 1576 3.3178 105^* 1640 4.096 105^* 1704 4.9562 105^* 1768 5.8982 105^* 1832 6.9222 105^* 1896 8.0282 105^* 143 mat

Compute the two matrices that will be multiplied to give matrix B

MB1 XD transpose XD * :

MB2 XD transpose head * :

BB MB1 1 -^eval MB2 * :

BB 75.8242 0.0073 - 7.205 105 -^* - 31 mat

Compute the fitted values and plot

i 1 n range yfitB i el BB gpm i el φ * : for

gpm 64128192256320384448512576640704768832896141 mat

head 7574726966625853484235282011141 mat

yfitB 75.1 73.7 71.8 69.2 66.1 62.4 58.1 53.2 47.7 41.7 35 27.8 19.9 11.5 141 mat

ExptN gpm head augment :

FitB gpm yfitB augment :

FitB ExptN 2 1 sys

vx vy chr sz clr plotG n vx length : plot vx 1 el vy 1 el chr sz clr augment : i 2 n range plot plot vx i el vy i el chr sz clr augment stack : for plot 41 line :

Low High step x fnct inc U Low High step range : i 1 U rows range f i el U i el fnct : for U f augment 31 line :

data gpm head 014 red plotG : 6475014 red 12874014 red 19272014 red 25669014 red 32066014 red 38462014 red 44858014 red 51253014 red 57648014 red 64042014 red 70435014 red 76828014 red 83220014 red 89611014 red 145 mat

FitB data 2 1 sys