STATISTICAL MODELLING OF RANDOM FIELDS ON THE PLANE USING SPLINE APPROXIMATION (ON EXAMPLE OF AIRMAGNETIC DATA)
Abstract
Іt is proposed to apply methods of statistical simulation of realizations of random processes and multi-dimensional random functions (random fields), to solve the problems of conditional maps, adding of data to achieve the necessary precision, and other such problems in geophysics. It is divided into deterministic and random components for data analysis. The deterministic component is proposed to approximate by cubic splines and the stationary random component is proposed to modeling on the basis of spectral expansions of random fields. Model example – aeromagnetic data two dimension field.
References
Chiles J.P., Delfiner P. Geostatistics: Modeling Spatial Uncertainty. John Wiley & Sons, Inc. New York, Toronto, -1999.
Grikh Z., Yadrenko M., Yadrenko O., About Approximation and Statistical Simulation of Izotropic Fields // Random Operators and Stohastic Equations, 1993, Vol. 1, No. 1, pp. 37-45.
Вижва С.А., Вижва З.О., Демидов В.К. Статистичне моделювання карстово-суфозійних процесів на території потенційно небезпечних об'єктів // Геоінформатика. – 2004. – №2. – С.78-85.
Вижва З.О. Математичні моделі в природознавстві. Розділ: Статистичне моделювання випадкових процесів та полів у науках про Землю. Навч. посіб. з дисципліни "Математичні моделі в природознавстві" для студентів мех.-мат. ф.-ту/ К., 2007.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Visnyk of Taras Shevchenko National University of Kyiv. Geology
This work is licensed under a Creative Commons Attribution 4.0 International License.
Read the policy here: https://geology.bulletin.knu.ua/licensing
