Radial flow of yield-power-law fluids: Numerical analysis, experimental study and the application for drilling fluid losses in fractured formations

Majidi, Reza; Miska, Stefan; Ahmed, Ramadan; Yu, Mengjiao; Thompson, L.G.

doi:10.1016/j.petrol.2009.12.005

Cited by 44 publications

(14 citation statements)

References 3 publications

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“…The flow of drilling mud into an artificial fracture was studied by Majidi et al [54]. The fracture consisted of two horizontal plates placed in parallel within a 1 mm opening, mimicking a fracture aperture.…”

Section: Experimental Studymentioning

confidence: 99%

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Modeling Lost-Circulation into Fractured Formation in Rock Drilling Operations

Albattat¹,

Hoteit²

2021

Drilling Technology

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Loss of circulation while drilling is a challenging problem that may interrupt drilling operations, reduce efficiency, and increases cost. When a drilled borehole intercepts conductive faults or fractures, lost circulation manifests as a partial or total escape of drilling, workover, or cementing fluids into the surrounding rock formations. Studying drilling fluid loss into a fractured system has been investigated using laboratory experiments, analytical modeling, and numerical simulations. Analytical modeling of fluid flow is a tool that can be quickly deployed to assess lost circulation and perform diagnostics, including leakage rate decline and fracture conductivity. In this chapter, various analytical methods developed to model the flow of non-Newtonian drilling fluid in a fractured medium are discussed. The solution methods are applicable for yield-power-law, including shear-thinning, shear-thickening, and Bingham plastic fluids. Numerical solutions of the Cauchy equation are used to verify the analytical solutions. Type-curves are also described using dimensionless groups. The solution methods are used to estimate the range of fracture conductivity and time-dependent fluid loss rate, and the ultimate total volume of lost fluid. The applicability of the proposed models is demonstrated for several field cases encountering lost circulations.

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Section: Experimental Studymentioning

confidence: 99%

“…Experimental setup showing a schematic view (a) and a photograph (b) of an experimental setup consisting of two parallel plates separated by a gap[54] (with permission from the author).…”

mentioning

confidence: 99%

Modeling Lost-Circulation into Fractured Formation in Rock Drilling Operations

Albattat¹,

Hoteit²

2021

Drilling Technology

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“…In terms of experimental studies, the grouting diffusion process in a circular tube is also studied [11]. The diffusion process of a Bingham-fluid-type cement slurry in the fractures of artificial slabs is being observed and studied [12][13][14]. In addition, the grouting diffusion process influenced by the temperature and dynamic water environment has also been studied, revealing the variation of physical quantities, such as the velocity and viscosity, in the diffusion process of a slurry under different influencing factors [10,15].…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Study on a Grouting Diffusion Model of a Single Rough Fracture in Rock Mass

2020

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Grouting reinforcement is an important method used to solve problems encountered during tunnel construction, such as collapse and water gushing. The grouting diffusion process is greatly influenced by the structural characteristics of the fractures in a rock mass. First, an analytical grouting diffusion model of a single rough fracture under constant-pressure control is established based on the constitutive equation of a Bingham fluid. Second, the “quasi-elliptical” grouting diffusion pattern under the influence of roughness is revealed through a grouting diffusion experiment, which is conducted with an independently developed visualized testing apparatus. Furthermore, the analytical formula of roughness-corrected grouting diffusion characterized by the saw tooth density is established. Finally, an elaborate numerical simulation of the diffusion process of cement slurry (Bingham flow type) in a single rough fracture is carried out by introducing the Bingham–Papanastasiou rheological model. The temporal and spatial distribution characteristics of the velocity field and pressure field during the grouting diffusion process are analyzed as well. Moreover, the method and range of the roughness correction factor in the analytical grouting diffusion model are proposed based on the fracture roughness unit.

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“…Mud is modeled as a yield power law fluid (Majidi et al 2010) and fractures are treated as horizontal planes, perpendicular to the wellbore. Lavrov (2014) proposed a more complex model considering drilling mud flow into a deformable horizontal fracture of finite length, while Razavi et al (2017) incorporate leak-off phenomena into the formation matrix by modeling both radial and linear flow within the fractures.…”

Section: Introductionmentioning

confidence: 99%

“…Both of these models consider a fluid characterized by a simplified rheology, mud being modeled as a pure power-law fluid (neglecting the effects of the yield stress) and as a Bingham plastic fluid by Lavrov (2014) and Razavi et al (2017), respectively. Considering the sources of uncertainty characterizing the scenario, we prefer to rest on a simple conceptual and geometrical model, as in Majidi et al (2010), and parametrize mud as a yield power law fluid, consistent with experimental evidence. The parameters needed for the implementation of such a fluid behavior are usually measured and available.…”

Section: Introductionmentioning

confidence: 99%

Stochastic inverse modeling and global sensitivity analysis to assist interpretation of drilling mud losses in fractured formations

Russian

Riva

Russo

et al. 2019

Stoch Environ Res Risk Assess

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This study is keyed to enhancing our ability to characterize naturally fractured reservoirs through quantification of uncertainties associated with fracture permeability estimation. These uncertainties underpin the accurate design of well drilling completion in heterogeneous fractured systems. We rely on monitored temporal evolution of drilling mud losses to propose a non-invasive and quite inexpensive method to provide estimates of fracture aperture and fracture mud invasion together with the associated uncertainty. Drilling mud is modeled as a yield power law fluid, open fractures being treated as horizontal planes intersecting perpendicularly the wellbore. Quantities such as drilling fluid rheological properties, flow rates, pore and dynamic drilling fluid pressure, or wellbore geometry, are often measured and available for modeling purposes. Due to uncertainty associated with measurement accuracy and the marked space-time variability of the investigated phenomena, we ground our study within a stochastic framework. We discuss (a) advantages and drawbacks of diverse stochastic calibration strategies and (b) the way the posterior probability densities (conditional on data) of model parameters are affected by the choice of the inverse modeling approach employed. We propose to assist stochastic model calibration through results of a moment-based global sensitivity analysis (GSA). The latter enables us to investigate the way parameter uncertainty influences key statistical moments of model outputs and can contribute to alleviate computational costs. Our results suggest that combining moment-based GSA with stochastic model calibration can lead to significant improvements of fractured reservoir characterization and uncertainty quantification.

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Radial flow of yield-power-law fluids: Numerical analysis, experimental study and the application for drilling fluid losses in fractured formations

Cited by 44 publications

References 3 publications

Modeling Lost-Circulation into Fractured Formation in Rock Drilling Operations

Modeling Lost-Circulation into Fractured Formation in Rock Drilling Operations

Experimental and Numerical Study on a Grouting Diffusion Model of a Single Rough Fracture in Rock Mass

Stochastic inverse modeling and global sensitivity analysis to assist interpretation of drilling mud losses in fractured formations

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