Abstract
In the previous chapters, we first introduced the concept of probability of detection (Chapter 2) and showed how the theory of geometric probabilities could be put to use to compute the detection probabilities for various types of field programs in terms of target, control grid, and detector geometry and mutual configurations. Obviously, in the economic context in which mineral exploration operates, we have to take into account the amount of effort required to obtain detection of the expected prizes. There has to be a balancing of the detection reward against its cost.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References and Selected Readings
Methodology of Optimization
BELLMAN, R.E., and DREYFUS, S. E., 1962, Applied Dynamic Programming, Princeton University Press, Princeton, New Jersey.
BROOKS, S. H., 1959, Comparison of maximum-seeking methods, Oper. Res. 7, 430–457.
DANTZIG, G., 1963, Linear Programming and Extensions, Princeton University Press, Princeton, New Jersey.
DIXON, L. C. W., 1972, Non-linear Optimization, Chap. 1, The English University Press, London.
DIXON, L. C. W. (Ed.), 1976, Optimization in Action, Proceedings of the Optimization Conference, Univ. of Bristol, January 1975, Chap. 1, Academic, London.
HARBAUGH, S. W., and BONHAM-CARTER, G. R., 1970, Computer Simulation in Geology, Chap. 8, Wiley, New York.
PETERSON, E. L., 1961, Statistical Analysis and Optimization of Systems, Wiley, New York.
ROSENBROCK, H. H., 1960, An automatic method for finding the greatest or least value of a function, Comput. J. 3, 175–184.
SIVAZLIAN, B. D., and STANFEL, L. E., 1975, Optimization Techniques in Operations Research, Prentice-Hall, Englewood Cliffs, New Jersey.
WILDE, D. J., 1964, Optimum-Seeking Methods, Prentice-Hall, Englewood Cliffs, New Jersey.
WILDE, D. J., and BEIGHTLER, C. S., 1967, Foundations of Optimization, Prentice-Hall, Englewood Cliffs, New Jersey.
WILLIAMS, K. B., and HALEY, K. B., 1959, A practical application of Linear Programming in the mining industry, Oper. Res. Q. 10, 131–137.
Operations Research
COBB, H., 1960, Operations Research: A tool in oil exploration, Geophysics 25, 1009–1022.
COX, J. L., 1961, Cutting costs through operations research, Min. Congr. J. 47, 45–46.
COYLE, R. G., 1969, Review of the literature on operations research in the mining industry, Trans. Inst. Min. Metall. London 78, Al—A19.
DUCKWORTH, E., 1962, A Guide to Operations Research, Methuen, London.
HAZEN, S. W., Jr., 1968, Operations Research: A growing force in the mineral industries, Min. Eng. 20, 88–90.
PRUSS, D. E., and FREEMAN, G. W., 1961, Mining exploration: An operations research and simulation approach, Min. World 14, 42–43.
ROUBENS, M. (Ed.), 1977, Advances in Operations Research, North-Holland, Amsterdam.
Optimization of Ore Detection
BARNES, H. L., and LAVERY, N. G., 1977, Use of primary dispersion for exploration of Mississippi Valley-type deposits; J. Geochem. Expl. 8, 105–115.
CELASUN, M., 1964, The allocation of funds to reconnaissance drilling programs; Q. Col. Sch. Mines 59, 169–185.
DE GEOFFROY, J., and WU, S. M., 1970, Design of a sampling plan for regional geochemical surveys, Econ. Geol. 65, 340–347.
DREW, L. J., 1967, Grid drilling exploration and its application to the search for petroleum, Econ. Geol. 62, 698–710.
DREW, L. J., 1979, Pattern drilling exploration: Optimum pattern types and spacings when searching for elliptical targets, J. Math. Geol. 11, (2), 223–254.
ELLIS, R. M., and BLACKWELL, J. H., 1959, Optimum prospecting plans in mineral exploration, Geophysics 24 (2), 344–358.
FAVINI, G., and ASSAD, R., 1979, An optimized decision model for area selection in massive sulfide exploration, Can. Inst. Min. Metall. Bull. 72 (804) 118–126.
GRIFFITHS, J. C., and DREW, L. J., 1966, Grid spacing and success rations in exploration, A.P.C.O.M. Symposium No 6, Vol. 1, pp. Q1 — Q24.
HEWLETT, R. F., 1965, Design of drill-hole grid spacings for evaluating low-grade copper deposits, U.S. Bur. Mines Rep. Invest. No. 6634.
HODGSON, W. A., 1962, Optimum spacing for soil sample traverses, A.P.C.O.M. 10th Symposium, Johannesburg, South Africa, pp. 75–78.
KELLEY, J. C., and McMANUS, D. A., 1969, Optimizing sediment sampling plans, Marine Geol. 7, 465–471.
SHURYGIN, A. M., 1976, The probability of finding deposits and some optimal search grids, J. Math. Geol. 8 (3), 323–330.
SLICHTER, L. B., 1955, Geophysics applied to prospecting for ore, Econ. Geol. Jubilee Volume 50, 885–969.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1985 Plenum Press, New York
About this chapter
Cite this chapter
De Geoffroy, J.G., Wignall, T.K. (1985). Optimizing Ore Detection. In: Designing Optimal Strategies for Mineral Exploration. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1230-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4684-1230-7_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-1232-1
Online ISBN: 978-1-4684-1230-7
eBook Packages: Springer Book Archive