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Multiscale spatial analysis of fracture arrangement and pattern reconstruction using Ripley’s K-function 1 1 Introduction 1 2 Fracture dataset 2 3 Ripley’s K-function 4 3.1 One-Dimensional formulation of Ripley’s K-function 4 3.2 Edge correction 4 3.3 Normalized K-function 5 4 Statistical bootstrap 5 4.1 Confidence interval for random fracture arrangements 5 4.2 Uncertainty in Ripley’s K-function 5 5 Local fracture arrangement 7 5.1 Local K-function 7 5.2 Fracture arrangement along the study interval 7 6 Simulation of fracture arrangements 9 6.1 Simulation technique 9 6.2 Simulation of fracture arrangement at Pedernales 9 6.3 Filling measurement gaps 10 7 Conclusions 12 CRediT authorship contribution statement 13 Declaration of competing interest 13 Acknowledgments 13 References 13

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EN

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nonfiction