Abstract
The mathematical modelling of geological structures, i.e. magma intrusion or dyke, has been done, based on magnetic data with inversion techniques using MatLab. The magnetic equation is a non-linear equation, and completion is done using a linear approach to non-linear mathematical models of magnetic data using the Taylor expansion approach and Jacobi Matrix. The first step of this research is to make synthetic data forward modelling from the magnetic equation of magma intrusion or dyke cases without errors, and the next stepping then add errors to the data. The next step is to do an inversion to get the parameters sought, i.e. depth and angle of the magma intrusion, by giving initial guesses, and then re-correct iteratively until convergent results are obtained. Finally, parameters of slope dyke or thin magma intrusion and its depth can be determined. The results obtained indicate that this technique can be used to get physical parameters sought from magnetic data for simple geological cases, i.e. dyke and magma intrusion.
Highlights
The objective of measuring using geophysical methods is to get a subsurface model of observational field data, i.e., magnetic susceptibility, density, resistivity, and others [1]
A magnetic method is one of the geophysical methods based on measuring the variation of magnetic field intensity on the surface of the earth caused by differences in the distribution of magnetized sub-surface objects [2], using magnetic sensors, in order to determine the rocks magnetic susceptibility [3]
Forward modeling is done by calculating the anomaly of the model and comparing it with the anomaly data from the measurement results, while inversion modeling calculates the value of physical parameters from the existing observation data based on the mathematical model
Summary
The objective of measuring using geophysical methods is to get a subsurface model of observational field data, i.e., magnetic susceptibility, density, resistivity, and others [1]. A magnetic method is one of the geophysical methods based on measuring the variation of magnetic field intensity on the surface of the earth caused by differences in the distribution of magnetized sub-surface objects [2], using magnetic sensors, in order to determine the rocks magnetic susceptibility [3]. This difference in susceptibility can occur when a rock is broken through by other rocks as well as a magmatic intrusion of maar and cinder cone [4] as well as at Mount Lamongan area [5]. We use Taylor-Jacobi expansion iteratively to solve non-linear equations of dike/magmatic intrusion formula in order to determine its parameters, i.e., slope orientation and depth
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