Fast flow computation methods on unstructured tetrahedral meshes for rapid reservoir modelling

Zhang, Zhao; Geiger, Sebastian; Rood, Margaret; Jacquemyn, Carl; Jackson, Matthew D.; Hampson, Gary J.; Carvalho, Felipe Moura de; Silva, Clarissa Coda Marques Machado; Silva, Julio Daniel Machado; Sousa, Mário Costa

doi:10.1007/s10596-019-09851-6

Cited by 11 publications

(8 citation statements)

References 68 publications

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“…However, we have also integrated our implementation of SBIM for 3D reservoir modelling with computationally cheap flow diagnostics. Such flow diagnostics allow key flow properties and behaviour to be assessed using a single pressure solution (Zhang et al 2017(Zhang et al , 2020. Together, SBIM and flow diagnostics allow rapid, quantitative assessment of the impact of different geological concepts and scenarios on resource volumes and flow properties.…”

Section: Discussionmentioning

confidence: 99%

Sketch-based interface and modelling of stratigraphy and structure in three dimensions

Jacquemyn

Pataki

Hampson

et al. 2021

JGS

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Geological modelling is widely used to predict resource potential in subsurface reservoirs. However, modelling is often slow, requires use of mathematical methods that are unfamiliar to many geoscientists and is implemented in expert software. We demonstrate here an alternative approach using Sketch-Based Interface and Modelling (SBIM) that allows rapid creation of complex three-dimensional (3D) models from 2D sketches. Sketches, either on vertical cross-sections or in map-view, are converted to 3D surfaces that outline geological interpretations. A suite of geological operators is proposed that handle interactions between the surfaces to form a geologically realistic 3D model. These operators deliver the flexibility to sketch a geological model in any order and provide an intuitive framework for geoscientists to rapidly create 3D models. Two case studies are presented, demonstrating scenarios in which different approaches to model sketching are used depending on the geological setting and available data. These case studies show the strengths of sketching with geological operators. Sketched 3D models can be queried visually or quantitatively to provide insights into heterogeneity distribution, facies connectivity or dynamic model behaviour; this information cannot be obtained by sketching in 2D or on paper.Supplementary material:https://doi.org/10.6084/m9.figshare.c.5303043

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Section: Discussionmentioning

confidence: 99%

Sketch-based interface and modelling of stratigraphy and structure in three dimensions

Jacquemyn

Pataki

Hampson

et al. 2021

JGS

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“…1b). Motivated by Zhang et al (2020), local analytical propagation speeds are calculated as in Fig. 2.…”

Section: A Multistencil Fmm With Path Correction For Reservoir Simula...mentioning

confidence: 99%

“…These studies concerns about FMM on Cartesian grids. For FMM on unstructured grids, please refer to Zhang et al (2020) for a discussion.…”

Section: Introductionmentioning

confidence: 99%

“…In the current study, we will develop a multistencil FMM scheme that uses local analytical propagation speed for solving the Eikonal equation and reservoir simulation on Cartesian grids which is widely adopted in geological modelling. The path correction method (Zhang et al, 2020) is employed to compensate the difference between the FMM path on the grid and the characteristic curve. We will validate the new algorithm on homogeneous and highly heterogeneous reservoirs and demonstrate its potential for automated history matching.…”

Section: Introductionmentioning

confidence: 99%

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A Multi-Stencil Fast Marching Method with Path Correction for Efficient Reservoir Simulation and Automated History Matching

Zhang¹,

Guo²,

Zhang³

et al. 2021

Preprint

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The efficiency of reservoir simulation is important for automated history matching (AHM) and production optimization, etc. The fast marching marching method (FMM) has been used for efficient reservoir simulation. FMM can be regarded as a generalised streamline method but without the need to construct streamlines. In FMM reservoir simulation, the Eikonal equation for the diffusive time-of-flight (DTOF) is solved by FMM and then the governing equations are computed on the 1D DTOF coordinate. Standard FMM solves the Eikonal equation using a 4-stencil algorithm on 2D Cartesian grids, ignoring the diagonal neighbouring cells. In the current study, we build a 8-stencil algorithm considering all neighbouring cells, and use local analytical propagation speeds. In addition, a local path-correction coefficient is introduced to further increase the accuracy of DTOF solution. Next, a discretisation scheme is built on the 1D DTOF coordinate for efficient reservoir simulation. The algorithm is validated on homogeneous and heterogeneous test cases,

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“…Both structured and unstructured meshes are commonly employed in computer aided engineering (CAE) [5], [16], [22], [43]. Unstructured meshes have been used in petroleum reservoir simulation with surface based model [48], [49]. Compared to structured meshes, unstructured meshes can adapt to complex geometries automatically.…”

Section: Introductionmentioning

confidence: 99%

Extension of a Non-Oscillatory Forward-in-Time Scheme to Detached Eddy Simulation of Stratified Turbulent Flows With Unstructured Meshes

Zhang

2019

IEEE Access

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A detached eddy simulation algorithm is developed based on the non-oscillatory forwardin-time (NFT) multidimensional positive definite advection transport algorithm (MPDATA) scheme for stratified turbulent flows with low or moderate Reynolds numbers on unstructured meshes. NFT MPDATA is extended to viscous turbulent flows for the first time. Viscous diffusion terms and an explicit sub-gridscale model are included. The working viscosity of the modified Spalart-Allmaras one equation model is transported by an algorithm based on the NFT MPDATA template. The scheme is semi-implicit which solves the linear equation system once per time step. The advantage of the scheme is efficiency and second-order accuracy. Furthermore, an edge-based data structure is adopted such that our scheme is suitable for both structured and unstructured meshes. The linear equation system is solved by an efficient algebraic multigrid (AMG) method. The algorithm is validated using test cases with Reynolds numbers 200 and 5000 over a range of Froude numbers. The flow patterns and dynamic drag coefficients are analysed and compared to numerical and experimental data in literature. INDEX TERMS Non-oscillatory forward-in-time, unstructured mesh, control volume, stratified turbulent flow.

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Fast flow computation methods on unstructured tetrahedral meshes for rapid reservoir modelling

Cited by 11 publications

References 68 publications

Sketch-based interface and modelling of stratigraphy and structure in three dimensions

Sketch-based interface and modelling of stratigraphy and structure in three dimensions

A Multi-Stencil Fast Marching Method with Path Correction for Efficient Reservoir Simulation and Automated History Matching

Extension of a Non-Oscillatory Forward-in-Time Scheme to Detached Eddy Simulation of Stratified Turbulent Flows With Unstructured Meshes

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