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Elastic modeling

We have used the code e3d, described by Larsen and Grieger (1998), to simulate a seismic survey at the coal fire field site. E3d is an explicit 2D/3D elastic finite-difference wave-propagation code that is widely used (e.g., Martin et al., 2006). It is accurate to fourth order in space and second order accurate in time.

Vmodel
Vmodel
Figure 1.
Subsurface structure; a dipping, partially burned (grey) coal (black) layer. P and S wave velocities are given in Table 1. [NR]
[pdf] [png]

Figure 1 shows the layout of our 2D model space, with layer properties shown in Table 1. A 5m thick layer of coal, half burned, dips 10$ ^{\circ}$ across a background of sandstone. We synthesized a seismic survey across the model with shots and receivers at 1-m spacings. The source is a vertical force with the waveform of a 125-Hz Ricker wavelet. This is intended to simulate a better-than-average sledgehammer impact. The frequency of a real sledgehammer impact is likely to be considerably lower and the waveform completely dependant on the local conditions. The receivers record both vertical, $ V_z$, and horizontal, $ V_x$, (in-plane) components of particle velocity. In this report we focus on the vertical (PP) component but include the horizontal component for interested readers. The model neglects the major near-surface heterogeneity like soil layer, shale layers and fissures known to exist at the site.


Table 1: Seismic P and S wave velocities and velocity gradients.
Unit $ V_p$ [m/s] $ \partial_zV_p[1/s]$ $ V_s$ [m/s] $ \partial_zV_s$[1/s]
Sandstone 2000 .2 1200 .154
Coal 1200 0.0 800 0.0
Ash 300 0.0 200 0.0


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Next: Data Up: De Ridder and Haines: Previous: Introduction

2009-04-13