Generating models using wavelet equations

Create a new synthetic model using a process based on Maxwell's wave equations, which state that amplitude in time equals acceleration in space.

Standard models are calculated using reflection coefficients based on density and velocity contrasts by placing them in time using the time/depth curve, and convolving them with a wavelet.

Maxwell's equation more closely resembles what's happening when the wave is progressing through the earth -hitting reflectors, bouncing up, and continuing onward. The signal is digitized and a time increment of microseconds is used.

To generate models using wavelet equations:

1. From the Edit menu, select Model Properties ().

The Model Properties: Wave Equ dialog box opens.

2. Select the desired model(s) in the display pane, and then select Wave Equationfrom the Type drop-down list.

3. Select Median Filter Points and Resample Depth Interval options in the Wave Equ tab, and then click Animation Viewer to display the 1D Wave Equation Viewer dialog box, where you animate how the sonic pulse given the above settings will impact the model.

Reducing the Median Filter Points and Resample Depth Interval above can alleviate some of the processing burden on your PC's CPU.

The 1D Wave Equation Viewer dialog box opens.

In this time-based dialog box, the left-most frame displays the original sonic and density logs. The middle pane represents the earth. And the right-most pane displays the synthetic that results from running the animation.

The Absorbing area above the Surface marker cancels reflections that move upward and that bounce off of the surface when the initial pulse activates. An accompanying noise cancellation buffer is not required below the Bottom marker as the synthetic finishes drawing before the pulse that travels through the Bottom marker can enter back into the model.

4. Use the Upand Down arrows to increase or decrease the speed at which the pulse proceeds through the earth, and then click Start Animation. Once clicked, the button label displays Stop Animation and you can click to stop the pulse.

Click One Step to increment the pulse through the earth by one step each time you click .

Zoom to magnify details that appear int he 1D Wave Equation Viewer dialog box.

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