Function to calculate the derivative of the drawdown with respect to the derivative of log time using the approach proposed by Horner
log_derivative_horner(t, s, return.pos = T, log = T)
t | Numeric vector with the time |
---|---|
s | Numeric vector with the drawdown |
return.pos | Logical flag to return only the positive values of the log-derivative (default = TRUE) |
log | Logical flag to indicate that natural logarithm (a log to the base e) is used in the derivative calculation (default = TRUE). Logarithm to the base 10 is used if FALSE. |
A list with
x: Numeric vector with the x coordinates where the log-derivative is evaluated
y: Numeric vector with the value of the log-derivative
Horne, R. N. Modern Well Test Analysis: A Computer-Aided Approach Petroway, Incorporated, 1990
Other log_derivative functions: log_derivative_bourdet
,
log_derivative_central
,
log_derivative_kernelreg
,
log_derivative_locpol
,
log_derivative_lokern
,
log_derivative_lpridge
,
log_derivative_smoothspline
,
log_derivative_spane
,
log_derivative_spline
,
log_derivative
data(boulton) t <- boulton$t s <- boulton$s ptest <- pumping_test('Well1', Q = 0.03, r = 20, t = t, s = s) # dptest.hn <- log_derivative_horner(ptest$t, ptest$s) plot(t, s, type= "p", log = "xy", ylim = c(1e-3,2))