The extraction of natural gas from underground deposits has increased in the last decade. Natural gas provides 24% of U.S. energy demand and is expected to grow. Shale gas is natural gas that is trapped in shale. Shale is a sedimentary rock made up of clay minerals that have low permeability. The natural gas found in shale is buried in fractures beneath the ground and must be extracted using hydraulic fracturing, also known as fracking [10]. Over the past decade, one of the most recognized sites for fracking natural gas extraction has been the Barnett shale. The Barnett Shale is a region that extends west of Fort Worth, Texas into the Permian Basin, and is known to extend into Mexico. The Barnett Shale is a complex fracture system where the region has seen new developments in fracking to extract natural gas from the ground [11]. To extract shale gas, a well is drilled into the fracture and fracturing fluid is injected. the well. The fracturing fluid consists primarily of water with chemicals that act as friction reducers, sc...