scholarly journals Viscosity Models for Drilling Fluids—Herschel-Bulkley Parameters and Their Use

Energies ◽  
2020 ◽  
Vol 13 (20) ◽  
pp. 5271 ◽  
Author(s):  
Arild Saasen ◽  
Jan David Ytrehus

An evaluation is presented of the practical usage of the Herschel-Bulkley viscosity model for drilling fluids. If data from automatic viscosity measurements exist, the parameters should be selected from relevant shear rate ranges to be applicable. To be able to be used properly, viscosity measurements must be measured with a sufficient accuracy. It is shown that a manual reading of standard viscometers may yield insufficient accuracy. It is also shown that the use of yield point/plastic viscosity (YP/PV) as measured using API or ISO standards normally provide inaccurate viscosity parameters. The use of the Herschel-Bulkley model using dimensionless shear rates is more suitable than the traditional way of writing this model when the scope is to compare different drilling fluids. This approach makes it also easier to make correlations with thermodynamic quantities like pressure and temperature or chemical or mineralogical compositions of the drilling fluid.

Author(s):  
Eric Cayeux ◽  
Amare Leulseged

Abstract It is nowadays well accepted that the steady state rheological behavior of drilling fluids must be modelled by at least three parameters. One of the most often used models is the yield power law, also referred as the Herschel-Bulkley model. Other models have been proposed like the one from Robertson-Stiff, while other industries have used other three-parameter models such as the one from Heinz-Casson. Some studies have been made to compare the degree of agreement between different rheological models and rheometer measurements but in most cases, already published works have only used mechanical rheometers that have a limited number of speeds and precision. For this paper, we have taken measurements with a scientific rheometer in well-controlled conditions of temperature and evaporation, and for relevant shear rates that are representative to normally encountered drilling operation conditions. Care has been made to minimize the effect of thixotropy on measurements, as the shear stress response of drilling fluids depends on its shear history. Measurements have been made at different temperatures, for various drilling fluid systems (both water and oil-based), and with variable levels of solid contents. Also, the shear rate reported by the rheometer itself, is corrected to account for the fact that the rheometer estimates the wall shear rate on the assumption that the tested fluid is Newtonian. A measure of proximity between the measurements and a rheological model is defined, thereby allowing the ranking of different rheological behavior model candidates. Based on the 469 rheograms of various drilling fluids that have been analyzed, it appears that the Heinz-Casson model describes most accurately the rheological behavior of the fluid samples, followed by the model of Carreau, Herschel-Bulkley and Robertson-Stiff, in decreasing order of fidelity.


Author(s):  
Eric Cayeux ◽  
Amare Leulseged

Drilling fluids are visco-elastic materials, i.e. they behave as a viscous fluid when subject to a sufficient shear stress and like an elastic solid otherwise. Both their elastic and viscous properties are time-dependent, i.e. drilling fluids are thixotropic. Because of thixotropy, it takes a finite time before the effective viscosity of a drilling fluid attains an equilibrium when the fluid is subject to a change of shear rate. This effect is visible when one changes the applied shear rate in a rheometer, as the fluid will gradually adapt to the new shearing conditions. When the velocity of a drilling fluid changes, for instance due to a change in pump flow rate, movement of the drill string, or change of flow geometry, the fluid will exhibit a time-dependent response to the new shearing conditions, requiring a certain time to reach the new equilibrium condition. Unfortunately, the time-dependence of the rheological properties of drilling fluids are usually not measured during drilling operations and therefore it is difficult to estimate how thixotropy impacts pressure losses in drilling operations. For that reason, we have systematically measured the time-dependence of the rheological properties of several samples of water-based, oil-based and micronized drilling fluids with a scientific rheometer in order to capture how drilling fluids systems respond to variations of shear rates. Based on these measurements, we propose to investigate how one existing thixotropic model manages to predict the shear stress as a function of the shear rate while accounting for the shear history and gelling conditions. Then we propose a modified model that fits better, overall, with the measurements even though there are still noticeable discrepancies, especially when switching back to low shear rates.


2021 ◽  
Author(s):  
Sandra Knutsen ◽  
Eric Cayeux ◽  
Arild Saasen ◽  
Mahmoud Khalifeh

Abstract A number of different models are used to describe the shear rate dependent viscosity of drilling fluids. Most, such as the Herschel-Bulkley model, have a purely empirical basis. The Quemada model, while still empirical, is based on physical principles. It is based on the notion that structural units develop in the fluid at low shear rates which are then partially broken down as the applied shear rate increases. In the current work, drilling fluid rheological data are fitted to the Herschel-Bulkley and the Quemada model. The development of the Quemada model and the calculation of each model parameter are presented. We show that the Quemada model better fits measurements over a wider range of shear rates than the Herschel-Bulkley model. We describe how to select the parameters of the Quemada model. Knowing the difficulty of obtaining a known shear rate for fluids with yield stresses, we discuss how this can affect the quality of the Quemada model fit. Furthermore, in principle, the Quemada model is not applicable in presence a non-zero yield stress. Therefore, we show how to handle the yield stress using a (very high) zero shear rate viscosity.


Author(s):  
Arild Saasen ◽  
Jan David Ytrehus ◽  
Bjørnar Lund

Abstract The most common viscosity models used in the drilling industry are the Bingham, the Power-Law and the Herschel-Bulkley models. In addition, it is common to refer to the low-shear yield-point. The scope of the present paper is to discuss numerical methods applicable for calculating annular frictional pressure losses. The topic of annular frictional pressure loss modelling has been treated in textbooks. None of these couple their models with the selection of viscosity data from measurements at the relevant shear rates. It is earlier shown how rotation of the inner string in an annulus can complicate the flow due to establishment of Taylor vortices. There are currently no analytical methods to handle such flow. The effect of the vortices depends strongly on the fluid’s composition in addition to the flow conditions. The practical way to handle these situations are by “fingerprinting” during circulation. In the paper examples will be presented showing how the Herschel-Bulkley fluid can be transferred to simple models for axial flow in an annulus where the inner cylinder does not rotate. It is common to use the narrow slot approximation. This method was used by Founargiotakis et al. In this paper both the modified Herschel-Bulkley model with dimensionless shear rates and the traditional model where the consistency depends on the shear rate will be presented. The dimensionless shear rate model can easily be translated back to the traditional form and vice-versa. Mathematical models will be presented. Hence a framework is given that is easier to use for digitalization and automation and in correlations including pressure, temperature and composition.


2017 ◽  
Vol 10 (1) ◽  
pp. 251-262 ◽  
Author(s):  
Lin Xu ◽  
Han Gao ◽  
Ming-biao Xu ◽  
Fu-chang You ◽  
Xiao-liang Wang

Introduction: An accurate HTHP rheological model of drilling fluids is critical for the safe and economic drilling operation. However, general HTHP rheological modeling methods appear to be very limited in the predictive accuracy. Materials and Method: In this work, a particular relative dial readings(RDR) modeling experiment was conducted on a weighted sulphonated water-based drilling fluid within a certain temperature and pressure range(30-150°C, 0.1-100MPa), in combination to dial reading data of six specific shear rates 3, 6, 100, 200, 300, and 600rpm, to develop a highly accurate HTHP rheological model. The RDR modeling procedure was investigated in details, including relative dial reading, Arrhenius relation, polynomial of pressure coefficients, and polynomial of shear rate coefficients. An equation relating RDR to temperature, pressure, and shear rate was determined. Results: The predictive deviation was calculated to be lower than 11.7%, and large errors occurred under the conditions of high pressure and low shear rates; all of which meet the requirement of in-field predictive accuracy. These results not only provide an accurate HTHP rheological equation for the weighted sulphonated water-based drilling fluid, but also propose an effective HTHP rheological modeling strategy for drilling fluids.


2012 ◽  
Vol 490-495 ◽  
pp. 3114-3118
Author(s):  
Xiao Ling Jiang ◽  
Zong Ming Lei ◽  
Kai Wei

With six-speed rotary viscometer measuring the rheology of drilling fluid at low temperature, during the high-speed process, the drilling fluid temperature is not constant at low temperature, which leads to the inaccuracy in rheological measurement. When R/S rheometer is used cooperating with constant low-temperature box , the temperature remains stable during the process of determining the drilling fluid rheology under low temperature. The R/S rheometer and the six-speed rotational viscometer are both coaxial rotational viscometers, but they work in different ways and the two cylindrical clearance between them are different.How to make two viscometer determination result can maintain consistent?The experimental results show that, The use of R/S rheometer, with the shear rate for 900s-1 shear stress values instead of six speed rotary viscometer shear rate for 1022s-1 shear stress values.Then use two-point formula to calculate rheological parameters.The R/S rheometer rheological parameter variation with temperature has a good linear relationship,Can better reflect the rheological properties of drilling fluids with low temperature changerule


Author(s):  
Arild Saasen ◽  
Jan David Ytrehus

Abstract The most common viscosity models used in the drilling industry are the Bingham, the Power-Law and the Herschel-Bulkley models. The scope of the present paper is to outline how to select the individual models, and how the models need to be re-formulated to be able to have parameters with a physical meaning. In principle, the Bingham model itself have physical parameters being the yield point and the plastic viscosity. However, the Bingham model very often only very poorly describe the viscosity in complex fluids. This yield stress can be described within a reasonable accuracy by application of the low-shear yield point. A similar problem exists with the Power-Law model resulting from the model’s absence of a yield stress. The compromise model is the Herschel-Bulkley model which contains a yield stress and a power-law term. This model describes the drilling fluid viscosity with reasonable accuracy and includes both the Bingham and Power-Law models as limit formulations. It is not possible to select fluids based on the Herschel-Bulkley traditional parameters alone. The reason is that the Herschel-Bulkley power-law term’s viscosity parameter has a unit dependent on its power-law exponent. In the present approach the fluid is described using a yield stress, a surplus stress at a characteristic shear rate of the fluid flow and finally a power-law exponent making the fluid applicable in the practical shear rate ranges. The surplus stress is no-longer dependent on other parameters. Hence, we have re-arranged the viscosity model to have independent measurable quantities.


2016 ◽  
Vol 78 (6-7) ◽  
Author(s):  
Imros Kinif ◽  
Sonny Irawan ◽  
Abhilash M. Bharadwaj

The nature of solid content mechanism in drilling fluids directly affects its properties and causes adverse impact on drilling performance. It has rapidly evolved and become a paramount issue over the years because of challenging drilling operations. To control the impact of the drilled solids on drilling fluid properties, solid control system unit must be capable of removing the drilled solids before the re-circulation. Failure to establish good solid control management may end the operation strategy with dilution method. A rigorous analysis of drilled solid effects and its correlation with poor performance of solid control system significantly reflects on the overall rig performance in optimizing drilling operation. This paper presents a study of two different solid control system configuration used in two drilling wells. The study shows that installation of distributor tank reduces mud overflow and brings in flow control stability. Mud rheologies – Plastic viscosity, Yield Point and Low Gravity Solid are considered for the two solid control systems. The results of the new solid control system design are better than the old one. Plastic viscosity, yield point and low gravity solid values improve by 14 %, 17 % and 25 % respectively. These results can be used to check the drilling performance and also in characterization of the solid control system to enhance the drilling mud capabilities. This research shows the need of engineering evaluation in the solid control system to reduce the chances of frequent drilling problems, rig components wear issue and other drilling fluid related hazards.


1984 ◽  
Vol 24 (03) ◽  
pp. 249-255 ◽  
Author(s):  
Jaime A. Lescarboura ◽  
Thomas R. Sifferman ◽  
Harry A. Wahl

Abstract A flow loop was used to evaluate the stability of fracturing fluids at high temperatures. The design provides enough pressure to prevent vaporization of water-base systems up to 350F [177C]. Crosslinked polymer systems from four service companies were evaluated at 180 and 245F [82 and 118C]. The tests showed that crosslinked fracturing fluids degrade with temperature and shear, losing much of their viscosity and proppant-carrying capacity in a few hours. Thermal stability is a major factor in selecting gels for fracturing deep, high-temperature reservoirs. Introduction Job failures in deep, hot wells can be caused by "sand-outs." These sandouts, or "screenouts," can result from inadequate carrying capacity (reduced viscosity) or too high a fluid loss (dehydration) for the polymer loading of the fracturing fluid. This study investigates the reduction in viscosity of crosslinked fracturing fluids with time at temperatures and shear rates approximating downhole conditions. A flow loop was used to investigate the rheological properties of fracturing fluids as a function of time under shear at temperatures as high as 245F [118C]. The pipe loop configuration was chosen because our field experience indicated that rotational viscometers were too "kind" to fracturing systems. We experienced sandouts that should not have happened if the crosslinked fracturing systems used had the flow characteristics that rotational viscometry indicated they had. The flow loop configuration also avoids some of the problems inherent in rotational viscometers, such as fluid climbing the shaft and contamination of the sample. Flow loops have been used to condition and evaluate drilling fluids at high temperatures. However, some of these instruments were not designed to give quantitative results. Our instrument permits measurement of apparent viscosity at known shear rates, flow index, and consistency index, all at high temperatures. This paper describes the flow loop, test procedures used, and results obtained. The flow loop gives reproducible results at high temperatures and allows the evaluation of the rheological properties of fracturing fluids under flow conditions nearer those encountered in actual fracturing jobs than do rotational, high-temperature instruments. Previous Work Previous Work Very little information has been reported on temperature stability of crosslinked fracturing fluids, especially under shearing conditions. Elbel and Thomas discussed the use of viscosity stabilizers for high-temperature fracturing. Conway et al. subjected crosslinked fracturing fluids to shear and to high temperatures. Hsu and Conway described the development of more stable crosslinked gels for use in deep, hot formations. All these investigators used the Fann 50 viscometer for their work, although Conway et al. used a pump to shear the samples before testing. Flow Loop Description The flow loop was built to evaluate the flow properties of drilling fluids, fracturing fluids, heavy crudes, and waxy crudes. The current test system can operate up to 350F [177C] and 250 psi [1,724 kPa]. The flow loop schematic is shown in Fig. 1. The test fluid is poured into the mixing vessel (Pfaudler) and then flows through the pump. The capacity of the system--including the heat exchangers, the test section, and the mixing unit--is about 25 gal [0.095 m3]. A high-accuracy, oval gear flowmeter was used for flow rate measurement. The meter was used only intermittently because it is a high- shear device that was originally intended to handle oil-base systems. A low-shear magnetic flowmeter has been added to the loop. The magnetic flowmeter shears the test fluids much less than the gear meter and can thus be left on continuously when testing shear-sensitive fracturing fluids. A differential pressure transducer measures pressure drop over the 20-ft-long [6.1-m], 0.957-in.-ID [2.43-cm] test section. The system is heated with a hot oil heater. An in-line, variable-shear-rate cup and bob viscometer allows continuous measurement of apparent viscosity at test temperature and pressure. It also-permits the running of rheograms to measure the flow pressure. It also-permits the running of rheograms to measure the flow parameters of the test fluid at any time during a test. parameters of the test fluid at any time during a test. A remote indication panel provides displays of flow rate, pressure drop, temperatures, shear stress, and shear rate. These values also are recorded on paper and magnetic tapes. A detailed description of the equipment, including recent improvements, is given in the Appendix. The improvements include the magnetic flowmeter mentioned previously, an automated data collection and reduction system, and a smaller pump. SPEJ p. 249


1985 ◽  
Vol 60 ◽  
Author(s):  
John R Morris ◽  
W Roger Cannon

AbstractRheology and the component interactions which affect rheology were studied for a tape casting composition similar to commercial systems. Viscosity measurements at different shear rates were compared to measured tape properties to determine if high or low shear rate rheological behavior controls tape characteristics. Relative viscosity was measured to assess the contribution of each component to the stability of the dispersion.


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