Interpolation method taking into account inequality constraints. II. Practical approach

Journal Article · Wed Jan 01 00:00:00 EST 1986 · Math. Geol.; (United States)

DOI:https://doi.org/10.1007/BF00897655· OSTI ID:6892588

Kostov, C; Dubrule, O

Common features of models for interpolation, consistent with a finite number of inequality constraints on the range of values of a variable z, are discussed. A method based on constrained quadratic minimization yielding kriging estimates when no constraints exist, is presented. A computationally efficient formulation of quadratic minimization is obtained by using results on duality in quadratic programming. Relevant properties of the optimal interpolator are derived in a simple, self-contained way. The method is applied to mapping of horizon depth and estimation of thickness of an oil-bearing formation.

• Research Organization: Stanford Univ., CA
• OSTI ID: 6892588
• Journal Information: Math. Geol.; (United States), Vol. 18:1
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
OIL FIELDS
KRIGING
MAPPING
OIL WELLS
WELL LOGGING
COMPUTER CALCULATIONS
DEPTH
GROUND WATER
INTERPOLATION
PETROLEUM
PROBABILISTIC ESTIMATION
PROGRAMMING
RESERVOIR ENGINEERING
RESOURCE ASSESSMENT
THICKNESS
DIMENSIONS
ENERGY SOURCES
ENGINEERING
FOSSIL FUELS
FUELS
GEOLOGIC DEPOSITS
HYDROGEN COMPOUNDS
MATHEMATICS
MINERAL RESOURCES
NUMERICAL SOLUTION
OXYGEN COMPOUNDS
PETROLEUM DEPOSITS
RESOURCES
STATISTICS
WATER
WELLS
020200* - Petroleum- Reserves
Geology
& Exploration