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Revised Eburnean geodynamic evolution of the ... - Tectonique.net

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4.5. Forward modelling<br />

Forward-modelled geological cross-sections (Fig. 16) across<br />

<strong>the</strong> Ashanti Belt and Tarkwa Basin were constructed in order<br />

to understand and illustrate <strong>the</strong> structural relationship between<br />

<strong>the</strong> Birimian and Tarkwaian units produced during D1 and D3<br />

shortening events. These sections are geologically consistent with<br />

<strong>the</strong> regional interpretation and <strong>the</strong> field observations. Forwardmodelling<br />

was performed to ensure that geological cross-sections<br />

were also geophysically consistent with aeromag<strong>net</strong>ic, gravity and<br />

petrophysical data. Not all features within <strong>the</strong>se models produce<br />

a perceptible geophysical contrast but are o<strong>the</strong>rwise in agreement<br />

with <strong>the</strong> geological observations made within <strong>the</strong> study<br />

area.<br />

Modelling was performed using Oasis Montaj GM-SYS s<strong>of</strong>tware<br />

that utilises <strong>the</strong> algorithm <strong>of</strong> Talwani et al. (1959) and<br />

S. Perrouty et al. / Precambrian Research 204– 205 (2012) 12– 39 29<br />

Fig. 10. (Continued)<br />

Talwani and Heirtzler (1964) to calculate <strong>the</strong> gravity and mag<strong>net</strong>ic<br />

response <strong>of</strong> two-dimensional polygons. Construction <strong>of</strong> <strong>the</strong>se<br />

integrated geological and geophysical models involved creating<br />

a traditional geological cross-section that was assigned values <strong>of</strong><br />

mag<strong>net</strong>ic susceptibility and density. The different fold trends in<br />

<strong>the</strong> Birimian and Tarkwaian units are represented in 2D by different<br />

fold wavelengths, amplitudes and positions <strong>of</strong> fold axes as<br />

<strong>the</strong>y occur in <strong>the</strong> plane <strong>of</strong> <strong>the</strong> section. The geophysical response<br />

<strong>of</strong> this model was <strong>the</strong>n calculated and compared to <strong>the</strong> observed<br />

aeromag<strong>net</strong>ic and gravity anomalies. The geometry and mag<strong>net</strong>ic<br />

susceptibility/density values assigned to each rock package were<br />

<strong>the</strong>n manipulated within geologically reasonable limits to improve<br />

<strong>the</strong> agreement between <strong>the</strong> model response and <strong>the</strong> observed<br />

response.<br />

Mag<strong>net</strong>ic susceptibility ranges for <strong>the</strong> modelled rock packages<br />

were based on field and laboratory susceptibility measurements

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