List of top Geophysics Questions on Seismic Data Processing

A causal recursive filter is given by \(y_n = x_n - 2x_{n-1} + 3y_{n-1}\). If the input values, \(x_0\), \(x_1\) and \(x_2\) are 1.2, -0.8 and 2.3, respectively, the output, \(y_2\), of the filter is __________ (rounded off to one decimal place).

How many traces will be present in a zero-offset section that is generated from the following marine seismic survey?

Near offset = 100 m
Shot interval = 20 m
Receiver interval = 10 m
Number of shots = 100
Number of receivers = 1000
(Figure not to scale)

Which of the following statements about digital filters is/are CORRECT?

If \(f(t) = [-1, 2, 1]\) and \(g(t) = [0, -1, 2]\) are two wavelets and \(f(\tau)\) and \(g(\tau)\) represent flipped versions of \(f(t)\) and \(g(t)\), respectively, then which of the following expressions is/are CORRECT?
[* and \(\otimes\) denote convolution and cross-correlation operations, respectively]

Considering a surface point source, the horizontal resolution recoverable from the seismic data acquired using a 10 Hz seismic pulse reflected from a depth of 30 km within the crust, with a velocity of 6.5 km/s, is __________ km (rounded off to two decimal places).

If a signal is sampled at a sampling rate of 0.2 ms, then its sampling frequency is ____________kHz.

If \(\hat{f}(t)\) denotes the Hilbert transform of \(f(t)\), then the Hilbert transform of \(\hat{f}(t)\) is equal to