Simulation of geological surfaces using fractals

Conference · Mon Aug 01 00:00:00 EDT 1988 · J. Int. Assoc. Math. Geol.; (United States)

OSTI ID:6288104

Yfantis, E A; Flatman, G T; Englund, E J

Methods suggests in the past for simulated ore concentration or pollution concentration over an area of interest, subject to the condition that the simulated surface is passing through specifying points, are based on the assumption of normality. A new method is introduced here which is a generalization of the subdivision method used in fractals. This method is based on the construction of a fractal plane-to-line function f(x, y, R, e, u), where (x, y) is in (a, b) x (c, d), R is the autocorrelation function, e is the resolution limit, and u is a random real function on (-l, l). The simulation using fractals escapes from any distribution assumptions of the data. The given network of points is connected to form quadrilaterals; each one of the quadrilaterals is split based on ways which are extensions of the well-known subdivision method. The quadrilaterals continue to split and grow until resolution obtained in both x and y directions is smaller than a prespecified resolution. If the x coordinate of the ith quadrilateral is in (a/sub i/, b/sub i/) and the y coordinate is in (c/sub i/, d/sub i/), the growth of this quadrilateral is a function of (b/sub i/ - a/sub i/) and (d/sub i/ - c/sub i/); the quadrilateral could grow toward the positive or negative z axis with equal probability forming four new quadrilaterals having a common vertex.

• Research Organization: Univ. of Nevada, Las Vegas (USA)
• OSTI ID: 6288104
• Report Number(s): CONF-8704137-
• Journal Information: J. Int. Assoc. Math. Geol.; (United States), Vol. 20:6; Conference: MGUS '87, Redwood City, CA, USA, 13 Apr 1987
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
54 ENVIRONMENTAL SCIENCES
GEOLOGIC DEPOSITS
FRACTALS
LAND POLLUTION
SURFACES
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
COORDINATES
CORRELATION FUNCTIONS
MAPPING
PROBABILITY
ROUGHNESS
SPATIAL RESOLUTION
STATISTICAL MODELS
THREE-DIMENSIONAL CALCULATIONS
FUNCTIONS
MATHEMATICAL MODELS
POLLUTION
RESOLUTION
SIMULATION
SURFACE PROPERTIES
580203* - Geophysics- Geophysical Survey Methods- (1980-1989)
510200 - Environment
Terrestrial- Chemicals Monitoring & Transport- (-1989)