A Semianalytical Approach To Model Pressure Transients in Heterogeneous Reservoirs

2010 ◽  
Vol 13 (02) ◽  
pp. 341-358 ◽  
Author(s):  
F.. Medeiros ◽  
E.. Ozkan ◽  
H.. Kazemi

Summary Pressure-transient responses of wells in a heterogeneous reservoir are usually computed with numerical models by using fine gridding and very short timesteps. An exceptions to this practice has been the use of analytical, semianalytical, and boundary-element methods for relatively simpler forms of heterogeneity, such as layering or the existence of natural fractures. This paper presents a semianalytical approach to compute pressure transients for more-complex forms of heterogeneity including composite, layered, and compartmentalized reservoirs. In this approach, the reservoir is divided into blocks corresponding to locally homogeneous substructures, and analytical pressure-transient solutions for adjacent blocks are coupled at the boundaries. This approach is consistent with the averaging effect of pressure transients and provides an alternative to full numerical modeling of pressure-transient responses in heterogeneous formations. The validation of the approach is demonstrated in comparison to the analytical solution for horizontal wells in a homogeneous reservoir. Application examples highlight the physical consistency of the approach and demonstrate its capability to model different types of reservoir heterogeneity.

2021 ◽  
Author(s):  
Murat Zeybek ◽  
Lei Jiang ◽  
Hadrien Dumont

Abstract The radius of investigation (ROI) of pressure transient analyses has been traditionally assessed using analytical formulations with basic reservoir parameters for homogenous systems. Numerous studies aimed to improve ROI formulations to incorporate all reservoir and testing parameters such as gauge resolution and rate for more accurate ROI assessments. However, new generation wireline formation testers aim to improve deep transient tests with significant developments in gauge resolution and increasing rate. Challenges still remain in heterogeneous formations such as shaly sands and carbonate reservoirs. In this study, detailed conceptual high-resolution numerical models are set up, including comprehensive reservoir and measurement parameters, to investigate more realistic ROI assessments in layered heterogeneous systems without and with hydraulic communication. Several conceptual examples are presented in layered systems with permeability contrasts. In addition, deviation from infinite-acting radial flow (IAFR) and pressure propagation in highly heterogeneous layered systems are investigated to detect the presence of geological features, including closed boundary systems and the presence of a fault in the proximity of wellbore.


2021 ◽  
Author(s):  
Hans Christian Walker ◽  
Anton Shchipanov ◽  
Harald Selseng

Abstract The Johan Sverdrup field located on the Norwegian Continental Shelf (NCS) started its production in October 2019. The field is considered as a pivotal development in the view of sustainable long-term production and developments on the NCS as well as creating jobs and revenue. The field is operated with advanced well and reservoir surveillance systems including Permanent Downhole Gauges (PDG), Multi-Phase Flow-Meters (MPFM) and seismic Permanent Reservoir Monitoring (PRM). This provides an exceptional basis for reservoir characterization and permanent monitoring. This study focuses on reservoir characterization to improve evaluations of sand permeability-thickness and fault transmissibility. Permanent monitoring of the reservoir with PDG / MPFM has provided an excellent basis for applying different methods of Pressure Transient Analysis (PTA) including analysis of well interference and time-lapse PTA. Interpretation of pressure transient data is today based on both analytical and numerical reservoir simulations (fit-for-purpose models). In this study, such models of the Johan Sverdrup reservoir regions have been assembled, using geological and PVT data, results of seismic interpretations and laboratory experiments. Uncertainties in these data were used to guide and frame the scope of the study. The interference analysis has confirmed communication between the wells located in the same and different reservoir regions, thus revealing hydraulic communication through faults. Sensitivities using segment reservoir simulations of the interference tests with different number of wells have shown the importance of including all the active wells, otherwise the interpretation may give biased results. The estimates for sand permeability-thickness as well as fault leakage obtained from the interference analysis were further applied in simulations of the production history using the fit-for-purpose reservoir models. The production history contains many pressure transients associated with both flowing and shut-in periods. Time-lapse PTA was focused on extraction and history matching of these pressure transients. The simulations have provided reasonable match of the production history and the time-lapse pressure transients including derivatives. This has confirmed the results of the interference analysis for permeability-thickness and fault leakage used as input for these simulations. Well interference is also the dominating factor driving the pressure transient responses. Drainage area around the wells is quickly established for groups of the wells analyzed due to the extreme permeability of the reservoir. It was possible to match many transient responses with segment models, however mismatch for some wells can be explained by the disregard of wells outside the segments, especially injectors. At the same time, it is a useful indication of communication between the regions. The study has improved reservoir characterization of the Johan Sverdrup field, also contributing to field implementation of combined PTA methods.


Author(s):  
H. A. Warda ◽  
I. G. Adam ◽  
A. B. Rashad

In the present study, a more realistic approach for using pressure transient analysis in leak detection and localization is proposed. In a previous publication [1] by the authors, the feasibility of using pressure transients, generated by full closure of a downstream solenoid control ball valve, in leak detection and localization is investigated. The main shortcoming of using the full closure of a downstream valve is the very high pressure rise that may reach 14 times the operating pressure. Also, full valve closure yields to discontinue the whole pipeline flow. In the present paper, a controlled partial downstream or upstream valve closure is used as a mean of generating pressure transients to overcome the above drawbacks. The percentage of the valve closure is controlled to reduce the pipeline flow rate by 20–80%. Pressure transients generated by a partial valve closure are investigated experimentally and numerically. The experimental setup consists of a 60 m long and 25.4 mm internal diameter PVC pipelines connecting two tanks. Leaks are simulated at different locations along the pipeline to investigate the effect of leak positions. The pressure time history is recorded using piezoelectric pressure transducers located at five equidistance points along the pipeline connected to a Data Acquisition System. Experiments are carried out for different leak quantities ranging from 2% to 20% of the pipe flow rate. The numerical model accounts for complex pipe characteristics, such as unsteady friction and viscoelastic behavior of pipe walls. The leak is treated as a flow through an orifice of prescribed size. The numerical model is experimentally verified to insure the capability of the model in accounting for unsteady and viscoelastic complex phenomena and efficiently simulating pressure transients in the presence of a leak.


2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Xiao-Hua Tan ◽  
Xiao-Ping Li ◽  
Jian-Yi Liu ◽  
Chuan Tang ◽  
Jin-man Li

A dual fractal reservoir transient flow model was created by embedding a fracture system simulated by a tree-shaped fractal network into a matrix system simulated by fractal porous media. The dimensionless bottom hole pressure model was created using the Laplace transform and Stehfest numerical inversion methods. According to the model's solution, the bilogarithmic type curves of the dual fractal reservoirs are illustrated, and the influence of different fractal factors on pressure transient responses is discussed. This semianalytical model provides a practical and reliable method for empirical applications.


Author(s):  
David Crooks ◽  
Jos van ’t Hoff ◽  
Matt Folley ◽  
Bjoern Elsaesser

Hydrodynamic numerical models of Wave Energy Converters (WEC) contain hydrodynamic coefficients that are commonly obtained from numerical codes that solve linear potential flow problems using Boundary Element Methods (BEM codes). The assumptions made by the BEM codes in their calculation of the linear hydrodynamic coefficients are violated by the large and nonlinear motions that wave activation body class WECs often go through during operation. In this study, Forced Oscillation Tests were used to evaluate the hydrodynamic torque coefficients estimated for an Oscillating Wave Surge Converter (OWSC) WEC by two BEM codes; WAMIT and Nemoh. The paper describes the tests and the active Force Feedback Dynamometer test rig used to perform them. The results indicate good agreement between the BEM codes and experimental data for small angular displacement amplitude oscillations, as expected; up to 0.3 rad. The torque not predicted by the BEM codes is presented and shown to have an amplitude and phase that vary throughout the range of tests performed.


1985 ◽  
Vol 107 (3) ◽  
pp. 402-406 ◽  
Author(s):  
D. C. Wiggert ◽  
R. S. Otwell ◽  
F. J. Hatfield

Transient pressure in piped liquid is a function of structural restraint at elbows. If supported rigidly, an elbow causes no appreciable alteration of the pressure transient generated by rapid valve closure. However, if the support is relaxed, significant alteration is observed. Motion of the elbow, driven by axial stresses in the pipe and by the liquid pressure, causes the alteration. Experimental data are presented to support these contentions. Two mechanisms are proposed as causes of the observed interaction of transient pressure and pipe motion. Verification that the mechanisms have been identified correctly is given by comparison of the experimental data to predictions of an analytical model that incorporates the mechanisms.


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