Abstract: A method for performing a borehole and/or subsurface formation-related action for a subsurface formation of interest includes: receiving a plurality of sets of fracture data for a subsurface rock; generating a discrete fracture network (DFN) for each set of fracture data; and determining a property of each DFN that corresponds to each set of fracture data. The method also includes: mapping the plurality of sets of fracture data to the corresponding property using artificial intelligence (AI) to provide an AI model; inputting a set of fracture data for the subsurface formation of interest into the AI model; outputting a property of the subsurface formation of interest from the AI model; and performing the borehole and/or subsurface formation-related action for the subsurface formation of interest using the property and equipment configured to perform the borehole and/or subsurface formation-related action.

Abstract: A method for performing a borehole and/or subsurface formation-related action for a subsurface formation of interest includes: receiving a plurality of sets of fracture data for a subsurface rock; generating a discrete fracture network (DFN) for each set of fracture data; and determining a property of each DFN that corresponds to each set of fracture data. The method also includes: mapping the plurality of sets of fracture data to the corresponding property using artificial intelligence (AI) to provide an AI model; inputting a set of fracture data for the subsurface formation of interest into the AI model; outputting a property of the subsurface formation of interest from the AI model; and performing the borehole and/or subsurface formation-related action for the subsurface formation of interest using the property and equipment configured to perform the borehole and/or subsurface formation-related action.

Abstract: A method for estimating a permeability of an earth formation includes: receiving a discrete fracture network (DFN) of the earth formation; representing the DFN as one or more volume sections, each volume section having a plurality of boundaries; identifying fractures that are connected to each other and lead from a first boundary in the plurality of boundaries to a second boundary in the plurality of boundaries to provide one or more flow paths for each volume section; applying Oda's method to the connected fractures making up the one or more flow paths to estimate the permeability of the earth formation along the one or more flow paths for each volume section to provide a permeability value for each volume section; and performing an action related to the earth formation using the permeability value for each volume section and an apparatus related to the action.

Abstract: A method for estimating an upscaled directional permeability of a formation includes: receiving a discrete fracture network (DFN), aligning the DFN in a desired direction; cropping the DFN to a desired size having boundaries. The method further includes identifying a fracture plane or fracture planes that are connected with each other and establish a path between the boundaries of the cropped DFN and creating a pipe model of the identified fracture plane or planes that includes one or more conduits connecting one boundary to another boundary. The method further includes creating a system of equations representing flows through the conduits, applying boundary conditions to the system of equations; solving the system of equations for steady-state flow to estimate the upscaled directional permeability of the formation. The method steps can be iterated for another desired direction if the upscaled directional permeability is wanted for the another desired direction.

Abstract: A method for estimating a permeability of an earth formation includes: receiving a discrete fracture network (DFN) of the earth formation; representing the DFN as one or more volume sections, each volume section having a plurality of boundaries; identifying fractures that are connected to each other and lead from a first boundary in the plurality of boundaries to a second boundary in the plurality of boundaries to provide one or more flow paths for each volume section; applying Oda's method to the connected fractures making up the one or more flow paths to estimate the permeability of the earth formation along the one or more flow paths for each volume section to provide a permeability value for each volume section; and performing an action related to the earth formation using the permeability value for each volume section and an apparatus related to the action.

Abstract: A method for estimating an upscaled directional permeability of a formation includes: receiving a discrete fracture network (DFN), aligning the DFN in a desired direction; cropping the DFN to a desired size having boundaries. The method further includes identifying a fracture plane or fracture planes that are connected with each other and establish a path between the boundaries of the cropped DFN and creating a pipe model of the identified fracture plane or planes that includes one or more conduits connecting one boundary to another boundary. The method further includes creating a system of equations representing flows through the conduits, applying boundary conditions to the system of equations; solving the system of equations for steady-state flow to estimate the upscaled directional permeability of the formation. The method steps can be iterated for another desired direction if the upscaled directional permeability is wanted for the another desired direction.

Abstract: This invention provides devices and apparatuses comprising the same, for efficient pumping and/or mixing of relatively small volumes of fluid. Such devices utilize nonlinear electrokinetics as a primary mechanism for driving fluid flow. Methods of cellular analysis and high-throughput, multi-step product formation using devices of this invention are described.

Abstract: This invention provides devices and apparatuses comprising the same, for efficient pumping and/or mixing of relatively small volumes of fluid. Such devices utilize nonlinear electrokinetics as a primary mechanism for driving fluid flow. Methods of cellular analysis and high-throughput, multi-step product formation using devices of this invention are described.