Statistical analysis of 2D trace-line maps of fracture networks in carbonate rocks of the Jandeíra Formation in Brazil

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1 Statistical analysis of 2D trace-line maps of fracture networks in carbonate rocks of the Jandeíra Formation in Brazil C.A.M. Paulides Department of Geosciences and Engineering, Delft University of Technology, Stevinweg 1, 2628 CN Delft, the Netherlands Index Appendix A Histogram, frequency-weighted and lengthweighted rose diagrams Appendix A.1 Entire outcrop Appendix A.2 Area 1 Appendix A.3 Area 2 Appendix A.4 Area 3 Appendix B Histograms for fracture length Appendix B.1 Entire Outcrop Appendix B.2 Set 1 Appendix B.3 Set 2 Appendix B.4 Set 3 Appendix C Appendix C.1 Appendix C.2 Appendix C.3 Fracture analysis values Values for fracture parameters for window, scanline and circular method per area Mean orientation & spacing for scanline sampling per area Coefficient of variation C v per set Appendix D Outcrop maps Appendix D.1 Outcrop with area subdividing Appendix D.2 Outcrop with fracture trace-lines Appendix D.3 Area 1 Appendix D.4 Area 2 Appendix D.5 Area 3

2 Appendix A Appendix A.1 Entire Outcrop 15 5 Orientation ( ) Figure A.1.1: Histogram for orientation Figure A.1.2: -weighted Rose Diagram % of total Bin( ) freq length to to to to to to to to to to to to to to to to to to to to to to to to to to to to to to to to to to to to Figure A.1.3: Length-weighted Rose Diagram

3 More Appendix A.2 Area 1 Orientaion ( ) Figure A.2.1: Histogram for orientation Figure A.2.2: -weighted Rose Diagram Figure A.2.3: Length-weighted Rose Diagram % of total Bin( ) freq length to to to to.. to to.. to to.. to to to to to to to to to to to to to to to to to to to to to to to to to to to to

4 More Appendix A.3 Area 2 Orientation ( ) Figure A.3.1: Histogram for orientation Figure A.3.2: -weighted Rose Diagram Figure A.3.3: Length-weighted Rose Diagram % of total Bin( ) freq length to to to to to to to to to to to to.. to to to to.. to to to to.. to to to to to to to to to to to to to to to to

5 More Appendix A.4 Area 3 Orientation ( ) Figure A.4.1: Histogram for orientation Figure A.4.2: -weighted Rose Diagram Figure A.4.3: Length-weighted Rose Diagram % of total Bin( ) freq length to to to to.. to to to to.. to to to to to to to to to to to to to to to to to to to to to to to to to to to to

6 Appendix B Appendix B Entire outcrop 1 Length (m) Figure B.1.1: Histogram for fracture length Appendix B.2 Set Length (m) Figure B.2.1: Histogram for fracture length

7 Appendix B.3 Set Length (m) Figure B.3.1: Histogram for fracture length Appendix B.4 Set Length (m) Figure B.4.1: Histogram for fracture length

8 Appendix C Appendix C.1 Area 1 Method Parameter Window Scanline Circular Sampled area [m 2 ] or length of the scanline [m] 9 9 Number of sampled fractures [-].43 ± ± 6. - Fracture density [m 2 ].2 ± ±.1 Fracture intensity [m/m2] or fracture frequency (scanline) [m -1 ].31 ± ±.8.33 ±.11 Mean fracture length [m] 9.55 ± ± ± 8. Number of censored fractures [-] ± ± Number of fractures shorter than lower uncensored cut-off length [-] 5.45 ± ± 5.69 Best fitted length distribution Exponential exponential - Area 2 Parameter Window Scanline Circular Sampled area [m2] or length of the scanline [m] Number of sampled fractures [-] ± ± Fracture density [m -2 ].1 ± ±.1 Fracture intensity [m/m 2 ] or fracture frequency (scanline) [m -1 ].36 ±,17.32 ± ±.17 Mean fracture length [m] ± ± ± Number of censored fractures [-] ± 7, ± Number of fractures shorter than lower uncensored cut-off length [-] ± ± 2. - Best fitted length distribution Exponential Exponential - Area 2 Parameter Window Scanline Circular Sampled area [m2] or length of the scanline [m]

9 Number of sampled fractures [-] ± 6, ± Fracture density [m 2 ].1 ±, ±.2 Fracture intensity [m/m 2 ] or fracture frequency (scanline) [m -1 ].23 ±..19 ±.6.42 ±.9 Mean fracture length [m] ± ± ± Number of censored fractures [-] ± ± Number of fractures shorter than lower uncensored cut-off length [-] 8.23 ± ± Best fitted length distribution Exponential exponential - Appendix C.2 Scanline sampling Area 1 Area 2 Area 3 Mean spacing (Set 1) [m] 9.11 ± Mean spacing (Set 2) [m] ± ± ± 5.48 Mean spacing (Set 3) [m] ± ± ± 9.73 Mean orientation (Set 1) [ᵒ] ± Mean orientation (Set 2) [ᵒ] ± ± ± 2.35 Mean orientation (Set 3) [ᵒ] ± ± ± 5.47 Appendix C.3 Coefficient of Variation C v Mean spacing St.Dev. spacing C v Set Set Set

10 Appendix D Appendix D.1 2 m

11 Appendix D.2 2 m

12 Appendix D.3 35 m

13 Appendix D.4 m

14 Appendix D.5 9 m

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