Systems and methods for stochastically projecting a well trajectory of a bottom hole assembly in a subsurface formation, where the bottom hole assembly includes one or more transducers, a trajectory controller coupled to the bottom hole assembly, an information handling system coupled to the transducers, and the information system includes a processor, and a non-transitory computer readable medium for storing one or more instructions that, when executed, causes the processor to receive a first one or more system model parameters from a system model parameter probability distribution; receive a first one or more steering inputs; receive a first one or more values corresponding to the bottom hole assembly initial conditions from the one or more transducers at a first position within a subsurface formation; and stochastically project a trajectory of the bottom hole assembly from the first position within the subsurface formation to a second position within the subsurface formation.

Systems and methods for stochastically projecting a well trajectory of a bottom hole assembly in a subsurface formation, where the bottom hole assembly includes one or more transducers, a trajectory controller coupled to the bottom hole assembly, an information handling system coupled to the transducers, and the information system includes a processor, and a non-transitory computer readable medium for storing one or more instructions that, when executed, causes the processor to receive a first one or more system model parameters from a system model parameter probability distribution; receive a first one or more steering inputs; receive a first one or more values corresponding to the bottom hole assembly initial conditions from the one or more transducers at a first position within a subsurface formation; and stochastically project a trajectory of the bottom hole assembly from the first position within the subsurface formation to a second position within the subsurface formation.

Embodiments of systems and methods to control directional drilling in borehole drilling for hydrocarbon wells are disclosed. An actual toolface orientation measurement value and an actual downhole torque on bit (DTOB) or actual downhole weight on bit (DWOB) measurement value for a drill string positioned in a borehole are determined. Responsive to a comparison of target measurement values and actual measurement values, error values are determined. A control command for one or more of a top drive, a drawworks, and a mud pump responsive to the DTOB or DWOB error value and the toolface orientation error value is determined. Additionally, one or more of the top drive, the drawworks, and the mud pump are operated responsive to the control command thereby to correct a toolface orientation of the drill string.

Embodiments of systems and methods to control directional drilling in borehole drilling for hydrocarbon wells are disclosed. An actual toolface orientation measurement value and an actual downhole torque on bit (DTOB) or actual downhole weight on bit (DWOB) measurement value for a drill string positioned in a borehole are determined. Responsive to a comparison of target measurement values and actual measurement values, error values are determined. A control command for one or more of a top drive, a drawworks, and a mud pump responsive to the DTOB or DWOB error value and the toolface orientation error value is determined. Additionally, one or more of the top drive, the drawworks, and the mud pump are operated responsive to the control command thereby to correct a toolface orientation of the drill string.

An arrangement for generating a resistivity image having a drill bit with cutters configured to be placed within a wellbore, the cutters configured to create further sections of the wellbore upon rotation, the drill bit having an end with threads for engagement, at least one section of drill string connected to the drill bit through a matching set of threads for engagement, a receiver toroid connected to the at least one section of drill string along at least a portion of the drill string, a transmitter toroid connected to the at least one section of drill string and located at least a portion of the drill string away from the receiver toroid, at least one stabilizer connected to the at least one section of drill string, a power source connected to the transmitter toroid and the receiver toroid, an electrode arrangement placed at the drill bit, wherein the electrode arrangement is electrically connected to the drill bit through a non-linear circuit element and a computer arrangement connected to the receiver toroid.

Current disclosure proposes calibration methodology that uses the knowledge learned from historical data and real-time data to update a simplified physics-based borehole propagation model for real time steering control of a directional drilling system. The proposed methodology updates model parameters of the simplified physics-based model in real time through a process of setting up and optimizing an objective function, which indicates the difference between the estimated trajectory and the feedback from the real-time data. Penalizing terms, which prevent the parameters from deviating drastically from the prior knowledge of the parameter, and various components of the objective function are learned from the historical data. As a result, the updated model can accurately estimate and predict the system behavior allowing an input sequence of the system to be accurately mapped to the output response.

A method for magnetic ranging includes switching an electromagnet deployed in a target wellbore between at least first and second states and acquiring a plurality of magnetic field measurements at a magnetic field sensor deployed on a drill string in a drilling wellbore while the electromagnet is switching. The magnetic field measurements may be sorted into at least first and second sets corresponding to the first and second states of the electromagnet. The first and second sets of magnetic field measurements are then processed to compute at least one of a distance and a direction from the drilling well to the target. The electromagnet may be automatically switched back and forth between the first and second states independently from the acquiring and sorting of the magnetic field measurements.

A method to minimize borehole effects upon a multi-component induction tool within a well and borehole with water-based mud includes measuring parameters of the reservoir with the induction tool to create an array of measured components. The method further includes comparing a measured component from the array of measured components with a corresponding model component from an array of model components for a reservoir model with known parameters and no borehole effects, and determining the parameters for the reservoir based upon the comparison of the measured component and the corresponding model component.

A system for determining a direction for drilling a well is disclosed. The system has a device in a portion of a conveyance mechanism comprising a cylindrical housing with at least one sensor that tracks a position of the portion during a drilling operation, the device being configured to obtain a plurality of drilling parameters, and a control system coupled to the device and configured to perform at least one reservoir simulation, and prepare a plurality of required parameters while drilling. The device uses an optimization box to simulate increasing an angle between a drilling direction and a maximum horizontal stress by calculating a minimum mud pressure required to prevent borehole collapse. The control system generates an engineering curve representative of each angle simulated and a corresponding mud weight or pressure, and the device and the control system identify an optimal direction corresponding to a minimum drilling mud pressure parameter.

A system for determining a direction for drilling a well is disclosed. The system has a device in a portion of a conveyance mechanism comprising a cylindrical housing with at least one sensor that tracks a position of the portion during a drilling operation, the device being configured to obtain a plurality of drilling parameters, and a control system coupled to the device and configured to perform at least one reservoir simulation, and prepare a plurality of required parameters while drilling. The device uses an optimization box to simulate increasing an angle between a drilling direction and a maximum horizontal stress by calculating a minimum mud pressure required to prevent borehole collapse. The control system generates an engineering curve representative of each angle simulated and a corresponding mud weight or pressure, and the device and the control system identify an optimal direction corresponding to a minimum drilling mud pressure parameter.