Auxiliary functions of the Hilbert transform in the study of gravity anomalies

Ramadass, G.; Arunkumar, I.; Rao, S. M. Varaprasada; Mohan, N. L.; Natarajan, Sundararajan

doi:10.1007/bf02841613

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…It is easy to see that the vertical derivative dramatically affects the accuracy of the above calculation methods. In previous studies, the authors mainly used the vertical derivative through the frequency domain, such as fast Fourier transform (FFT), Hilbert transform [15,16], or the method of Laplace equation [17]. However, Kha and Trung [12] published a new technique using the the upward continuation and Taylor series expansion methods (UCT) to calculate the vertical derivative, and showed that the calculation of the vertical derivative through the frequency domain is unstable when the data have noises, especially in case of higher-order vertical derivatives, which can affect the results of determining the structural boundary as well as the stability in the downward continuation problem.…”

Section: Introductionmentioning

confidence: 99%

Determination of vertical derivative of gravity anomalous by upward continuation and Taylor series transform methods: application to the Southwest sub-basin of the East Vietnam Sea

Nguyen

Tran

Bui

2022

VJMST

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The vertical derivative of the gravity anomaly has a vital role in the methods of geological structure research such as determining fault systems and the location of the field sources. In addition, the vertical derivative is also used to calculate the downward continuation and further clarify the image of the seabed topography. However, determining the vertical derivative according to the traditional Fast Fourier Transform (FFT) method is often unstable and has low accuracy in high-order derivatives for high noise actual data. In this article, we introduce a new calculation method to determine the vertical derivative of gravity anomaly giving higher stable and accurate than traditional methods. The method is verified on synthetic model data and actual data of the Southwest sub-basin of the East Vietnam Sea.

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Section: Introductionmentioning

confidence: 99%

Determination of vertical derivative of gravity anomalous by upward continuation and Taylor series transform methods: application to the Southwest sub-basin of the East Vietnam Sea

Nguyen

Tran

Bui

2022

VJMST

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Potential-Field Filters for Gravity and Magnetic Interpretation: A Review

et al. 2022

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A novel method for computing the vertical gradients of the potential field: Application to downward continuation

Tran

Nguyen

2019

Geophysical Journal International

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Summary Downward continuation is a very useful technique in the interpretation of potential field data. It would enhance the short wavelength of the gravity anomalies or accentuate the details of the source distribution. Taylor series expansion method has been proposed to be one of the best downward continued methods. However, the method using high-order vertical derivatives leads to low accuracy and instability results in many cases. In this paper, we propose a new method using a combination of Taylor series expansion and upward continuation for computing vertical derivatives. This method has been tested on the gravitational anomaly of infinite horizontal cylinder in both cases with and without random noise for higher accurate and stable than Hilbert transform method and Laplace equation method, especially in the case of noise input data. This vertical derivative method is applied successfully to calculate the downward continuation according to Taylor series expansion method. The downward continuation is also tested on both complex synthetic models and real data in the East Vietnam Sea (South China Sea). The results reveal that by calculating this new vertical derivative, the downward continuation method gave higher accurate and stable than the previous downward continuation methods.

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Auxiliary functions of the Hilbert transform in the study of gravity anomalies

Cited by 3 publications

References 9 publications

Determination of vertical derivative of gravity anomalous by upward continuation and Taylor series transform methods: application to the Southwest sub-basin of the East Vietnam Sea

Determination of vertical derivative of gravity anomalous by upward continuation and Taylor series transform methods: application to the Southwest sub-basin of the East Vietnam Sea

Potential-Field Filters for Gravity and Magnetic Interpretation: A Review

A novel method for computing the vertical gradients of the potential field: Application to downward continuation

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