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Keywords: derivative
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Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 23–25, 2024
Paper Number: SPE-221012-MS
... are quantified through three exponents and fractional derivatives. The findings highlight the influence of diverse heterogeneity indexes and introduce an effective workflow for interpretation and reservoir assessment. These insights significantly enhance comprehension of the reservoir's complex heterogeneity...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 16–18, 2023
Paper Number: SPE-214998-MS
... The anomalous diffusion equation is derived by incorporating a flux law for anomalous diffusion into the mass balance equation. Fomin et al. (2011) and Chen and Raghavan (2015) have discussed the single-phase flux law for anomalous diffusion, which is a phenomenological, constitutive relation...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 16–18, 2023
Paper Number: SPE-214849-MS
... allocation in reservoir simulation. Their method computes control variable derivatives using solutions to the adjoint equation. The merit function consists of terms related to objective function, inequality constraints, and equality constraints which include facility network flow equations. The optimization...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 16–18, 2023
Paper Number: SPE-214896-MS
... continuously from measured temperature response. Simulated examples in the next section provides further details. Abstract This work presents a well performance analysis technique that identifies formation damage and/ or productivity loss real-time using rates derived from measured well temperatures...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 3–5, 2022
Paper Number: SPE-210161-MS
... derivative signature permeability storage dfit numerical simulation journal leakoff coefficient estimation petroleum science For the tangential flow along the fracture, it follows the cubic law of single-phase laminar flow through fracture with roughness ( Konzuk et al. 2004 ; He et al. 2021...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 3–5, 2022
Paper Number: SPE-210224-MS
... function is modified to include the derivative of the integral of rate-normalized pressure for the primary phases. As such, in the history-matching process using compositional numerical simulation, the flow regimes are also matched, which can increase the reliability of the calibrated numerical model...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 3–5, 2022
Paper Number: SPE-210150-MS
... to larger achievable ROI. We propose a new definition of ROI, that is the detectable ROI for each drawdown or build-up flow period and is derived from the actual pressure derivative response and not from a generic model assumption. By defining a derivative noise envelope, the new method clearly identifies...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 3–5, 2022
Paper Number: SPE-210265-MS
... Abstract The identification of reservoir heterogeneity is normally attempted by constructing profiles of conventional well-test derivatives with transient-pressure data. Second-order derivatives are more sensitive than the first-order derivatives in the respective profiles with heterogeneity...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 3–5, 2022
Paper Number: SPE-210366-MS
... technical conference pressure transient testing snr distortion undermine reservoir response drillstem testing amplitude magnitude investigation non-reservoir component resolution certainty drillstem/well testing noise derivative reservoir characterization reservoir characteristic exhibition...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 21–23, 2021
Paper Number: SPE-206046-MS
... analysis. Interference by offset wells often appears after pseudo-radial flow in the target well's hydraulic fracture. It causes the pressure derivative curve during elliptical and infinite-acting radial flow (IARF) to rise, as does the RNP derivative. The inverse semi-log derivative has the opposite trend...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 21–23, 2021
Paper Number: SPE-206108-MS
.... reservoir geomechanics upstream oil & gas negative product hydraulic fracturing drillstem/well testing diagnostic plot reservoir characterization pressure transient testing natural logarithm impulse derivative storage storage distortion radial flow pressure derivative pressure transient...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 26–29, 2020
Paper Number: SPE-201488-MS
... treatment falloff data perforation friction loss procedure estimation reservoir geomechanics pressure transient testing friction loss treatment stage derivative anomaly detection algorithm diagnostic fracture injection test isip tortuosity friction loss falloff data pressure falloff data...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 26–29, 2020
Paper Number: SPE-201404-MS
... for estimated derivative functions in the presences of random and biased noise. Put simply, this work will improve the ability to interpret time-rate-pressure data and increase confidence in the diagnosis of well performance behavior. The cost of computational power available in common desktop computers...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 26–29, 2020
Paper Number: SPE-201484-MS
... restriction society of petroleum engineers multistage fracturing treatment plot signature interpretation wellbore mechanical failure complex reservoir classification abnormal pressure behavior identification decision tree apb derivative technology conference bv pad Introduction Casing...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 26–29, 2020
Paper Number: SPE-201335-MS
... derivative at each interval boundary. This is the basic principle of spline regression that has more flexibility in terms of function expression. In addition, it also subsumes ridge regression with Laplacian regularization. For multiwell pressure behavior, additional basis functions are included to handle...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 30–October 2, 2019
Paper Number: SPE-196154-MS
... of the model to assess fault leakage to shallower formations as well as up-, across-, and along-fault fluid flow. In addition, the pressure response of the shallower formations is evaluated. Fig. 1 shows the pressure derivative of the injection well response for different number of layers. It can...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 24–26, 2018
Paper Number: SPE-191716-MS
... derivative Introduction Many investigations have conducted on liquid unloading through coiled tubing gas lift in the past. Misselbrook et al. (1991 ) modeled the flow behavior and analyzed the fatigue of tubing. But they did not provide the mathematical model and the algorithms used...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 26–28, 2016
Paper Number: SPE-181491-MS
... jerk derivative vibrational data downhole equipment completion monitoring systems/intelligent wells drilling data acquisition tkeo information prediction IMF downhole tool drilling measurement Introduction The random nature of downhole vibrations make it difficult for mathematical...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 26–28, 2016
Paper Number: SPE-181488-MS
... can be transformed into an equivalent pressure or pressure derivative data set. This is also very important for unconventional gas and oil reservoirs, where the boundary-dominated pseudosteady-state flow regime takes years to develop. A new technique is presented for determining stimulated reservoir...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 26–28, 2016
Paper Number: SPE-181593-MS
... numerical methodology to demonstrate that more recently proposed analysis methods using generalized versions of the Agarwal/Bourdet derivative do not necessarily result in a ‘correct’ interpretation, in particular with respect to identifying the point of fracture closure. With respect to the latter, we also...

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