It is an 8-dimensional test function that models water flow through a borehole. Its simplicity and quick evaluation makes it a commonly used function for testing a wide variety of methods in computer experiments.
borehole(x)
The response is given by $$ f(x) = \frac{2\pi T_u (H_u - H_l)}{\ln(\frac{r}{r_w})\Big(1+\frac{2LT_u}{\ln(\frac{r}{r_w})r^2_w K_w}+\frac{T_u}{T_l}\Big)}$$
where x is an 8-dimensional vector with rw <- x[1], r <- x[2], Tu <- x[3], Hu <- x[4], Tl <- x[5], Hl <- x[6], L <- x[7], Kw <- x[8].
an 8-dimensional vector specifying the location where the function is to be evaluated.
tools:::Rd_package_author("RobustGaSP")
Maintainer: tools:::Rd_package_maintainer("RobustGaSP")
For more details, see Worley, B. A. (1987). Deterministic uncertainty analysis (No. CONF-871101-30). Oak Ridge National Lab., TN (USA).
Harper, W. V., & Gupta, S. K. (1983). Sensitivity/uncertainty analysis of a borehole scenario comparing Latin Hypercube Sampling and deterministic sensitivity approaches (No. BMI/ONWI-516). Battelle Memorial Inst., Columbus, OH (USA). Office of Nuclear Waste Isolation.
Worley, B. A. (1987). Deterministic uncertainty analysis (No. CONF-871101-30). Oak Ridge National Lab., TN (USA).
S. Surjanovic, D. Bingham, Virtual Library of Simulation Experiments: Test Functions and Datasets, retrieved March 29, 2016, from http://www.sfu.ca/~ssurjano/borehole.html.