... involved, the set of parameters to be estimated and the nature of the estimation problem, deduced from the functional requirements of the system. Models This gives us a set of seven parameters, and we will use the notation Ψ = (ψ i ) i = 0…6 to denote a vector of parameters. To such a vector...

... 1991 ): (3) { x → ˙ ( t ) = A ( t ) x → ( t ) + B ( t ) u → ( t ) y → ( t ) = C ( t ) x → ( t ) + D ( t ) u → ( t ) where x → is the state vector, u → is the input...

... & gas simulation artificial intelligence trajectory design tco algorithm directional drilling hold section survey point inclination drilling operation curvature vector reach point rss simulator saavedra jerez survey station pwp rss model azimuth competition Introduction...

... the example in the published works on this subject is much simplified by the geometric, rather than algebraic treatment. trajectory design end point arc degenerate well planning upstream oil & gas circular arc vector expression directional drilling self-intersecting surface principal root...

... and that for instance, sand-screens may be run in hole safely after a successful drilling operation. cross-sectional area mass density diameter schematic representation drillstring design liquid level gravitational field archimedes axial component upstream oil & gas calculation tangent vector...

...Methodolgy An autoencoder (AE) is a type of artificial neural network, which transforms inputs into outputs with the least possible distortion. The AE reduces the input vector into a low-dimensional context vector, and then rebuilds the context vector into the output vector with same dimenions...

... drilling data acquisition trajectory design MWD well planning Upstream Oil & Gas magnetic measurement information real time system measurement while drilling declination estimation process magnetometer reading correction application sensor azimuth magnetic field vector measurement...

... Intelligence Upstream Oil & Gas vector soft-string model physics contact force hydrogen degradation triaxial stress reduction probability well integrity machine learning drilling operation strength international association of drilling contractors useful life well barrier directional...

... ′ ) and P r , ψ , φ ′ ′ is a 4 × 4 transformation matrix. The reverse transformation for vectors operates with a 3 × 3 transformation matrix: (3) u → r , ψ , φ ′ ′ = P r , ψ , φ ′ ′ u → r , θ , z ′ ⇔ ( u r ′ ′ u ψ...

... Upstream Oil & Gas boundary condition vector torque axis contact point pressure gradient equation net force mechanical friction borehole wall symmetry Introduction Performance analysis of the latest drilling operations for a large operator company in the North Sea indicates...

... covariance matrix correction magnetometer bias minimum requirement matrix overshoot vector position uncertainty estimation scale factor error Introduction Multi-Station Analysis (MSA) is a method of estimating corrections to terms that systematically contribute to wellbore survey error...

... B e N E D denote the Earth magnetic field vector at the location of the magnetometer, as represented in the NED frame, and let T N E D S denote the transformation matrix that maps vectors from the NED frame to the Sensor (S) frame. Then the total magnetic field...

... analytic solution trajectory conventional model curvature connector pipe Upstream Oil & Gas displacement calculation torque-drag model wellbore vector formulation spe iadc 163477 conventional torque-drag model coefficient contact force Introduction (4) d U n k...

... identification operating point stick slip oscillation vector equation vibration Introduction It is currently well recognized in the industry that automating the drilling process will increase its reliability and reduce drilling costs. Many efforts are documented on automation of drilling operations...

... b ⇀ binormal vector b ˜ special binormal vector E Young's elastic modulus (psf) f ij (s) interpolation function F the effective axial force (lbf) F ˜ F – EIκ 2 I moment of inertia (ft 4 ) i → E unit vector in east...

... where μ f is the coulomb friction factor, F e is the effective axial force in the pipe, w bp is the buoyant weight of the pipe, r p is the tool joint radius, n z is the vertical component of the normal vector, and b z is the vertical component of the binormal vector. These terms are defined...

... forces in the stability of tubing and in the stability of seafloor flowlines. axial torque axial force friction force equation Upstream Oil & Gas trajectory vector wellbore drillstring design friction drill pipe selection tangent vector displacement lateral displacement torque...

... bhp personnel category fg nmw bhp trajectory design matrix procedure probability scenario separation distance well planning mitigation collision vector artificial intelligence positional uncertainty drilling operation clearance factor mw bhp upstream oil & gas assessment...

...-952-9435. Nomenclature: Nomenclature: Abbreviation Expansion b ¯ binormal vector d o tubing outside diameter, in. e ¯ i helix coordinate system E Young's modulus, psi I moment of inertia of tubing, in F ¯ force vector, lbf F...

... %. In addition, applied optimal estimation techniques based on Kalman filter algorithms are presented to compensate for the measurement errors from the FOG and the accelerometers. equation velocity component bottom hole assembly gyroscope drilling operation vertical direction vector order...