#### Abstract

Utilizing data available from the Kentucky Geonet (KYGeonet.ky.gov) the fossil fuel mining locations created by the Kentucky Geological Survey geo-locating oil and gas wells are mapped using ESRI ArcGIS in Kentucky single plain 1602 ft projection. This data was then exported into a spreadsheet showing latitude and longitude for each point to be used for modeling at different scales to determine the fractal dimension of the set. Following the porosity and diffusivity studies of Tarafdar and Roy[1] we extract fractal dimensions of the fossil fuel mining locations and search for evidence of scaling laws for the set of deposits. The Levy index is used to determine a match to a statistical mechanically motivated generalized probability function for the wells. This probability distribution corresponds to a solution of a dynamical anomalous diffusion equation of fractional order that describes the Levy paths which can be solved in the diffusion limit by the Fox H function ansatz.

#### Disciplines

Geology | Oil, Gas, and Energy | Other Mathematics | Physics

#### Recommended Citation

Andrew, Keith; Andrew, Karla M.; and Andrew, Kevin A., "Fractal Location and Anomalous Diffusion Dynamics for Oil Wells from the KY Geological Survey" (2009). *Physics & Astronomy Faculty Publications.* Paper 1.

https://digitalcommons.wku.edu/physics_fac_pubs/1

#### Included in

Geology Commons, Oil, Gas, and Energy Commons, Other Mathematics Commons, Physics Commons

## Comments

Available at the Geophysics section of Archive at: arXiv:0912.2540. Acknowledgements: This work has been generously supported by a KY NASA Space Grant Consortium grant, the WKU Institute for Astrophysics and Space Science and the WKU Center for Water Resource Studies.