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Fractal dimensions of twenty-one lacustrine shale core samples were investigated.•
Fractal dimension increases with increasing BET surface area and total pore volume, and with decreasing average pore diameter.•
The relationship between fractal dimensions and TOC content is characterized by a ‘U-shaped’ curve.•
Lacustrine shale samples with a lower fractal dimension (D
1) have greater free oil content.
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