Article
Engineering, Petroleum
A. M. Manea, T. Almani
Summary: This work investigates the scalability of two key multiscale solvers on the GPU massively parallel architecture for the pressure equation in heterogeneous porous media. The study emphasizes the importance of algorithm parallelizability and implementation details on GPU architecture for the robustness and scalability of solvers. The research demonstrates the parallel implementation of these solvers on GPU architecture and compares their performance with multicore implementations.
Review
Computer Science, Interdisciplinary Applications
Stefano Nardean, Massimiliano Ferronato, Ahmad Abushaikha
Summary: This review focuses on linear solvers for reservoir simulation applications, particularly Fully Implicit solution methods. Iterative methods and quality preconditioners play crucial roles in solving the large systems arising from real-world models. Developing efficient preconditioners is essential for improving solution speed and stability.
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Fanxiang Xu, Hadi Hajibeygi, Lambertus J. Sluys
Summary: The multiscale XFEM proposed in this work addresses the challenges of complex multiscale geoscientific applications by utilizing locally computed enriched basis functions. Through algebraic formulation and solving methods, this approach significantly reduces computational costs while maintaining accuracy, making it a promising scalable method for large-scale heavily fractured porous media.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Sahil Wani, Rahul Samala, Ramesh Kannan Kandasami, Abhijit Chaudhuri
Summary: This study presents a custom-developed coupled THMC solver to realistically quantify the gas production and associated sediment deformation. The results indicate that the well-bore in the middle of the reservoir yields the highest cumulative gas production while differential settlement is minimum, thus making it a preferable location for placing the horizontal well-bores.
COMPUTERS AND GEOTECHNICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Jiamin Jiang, Huanquan Pan
Summary: Solving nonlinear equation systems resulting from the Fully Implicit Method (FIM) remains a challenge in numerical simulation of multiphase flow in subsurface fractured media. The standard Newton solver is usually unable to converge for large timestep sizes. Limited research has been conducted on nonlinear solver techniques for multiphase flow and transport in fractured media. In this study, we extend a new dissipation-based continuation (DBC) method to discrete fracture-matrix (DFM) models and evaluate its performance using multiple numerical examples. The results show that the DBC solver provides excellent computational performance and is able to resolve the main convergence difficulties.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Qi Zhang, Xia Yan, Zihao Li
Summary: We have developed a comprehensive framework that can be applied to porous media with multiple porosity scales and saturated with one or two types of fluids. The proposed model is applicable to both elastic and elastoplastic deformations, and can be used for both uncoupled and coupled simulations. We have investigated the depletion process of fractured reservoirs and the effects of multiple factors on system response through uncoupled flow simulations and coupled flow and geomechanics simulations.
COMPUTERS AND GEOTECHNICS
(2022)
Article
Engineering, Geological
Mohamad Chaaban, Yousef Heider, Bernd Markert
Summary: In this paper, a reliable micro-to-macroscale framework is presented to model multiphase fluid flow through fractured porous media. The lattice Boltzmann method (LBM) is utilized within the phase-field modeling (PFM) of fractures to achieve this. New phase-field-dependent relationships for various parameters are proposed and a multiscale concept for coupling is achieved. Numerical simulations on real microgeometries of fractured porous media validate the reliability of the model.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Leonardo Gasparini, Jose R. P. Rodrigues, Douglas A. Augusto, Luiz M. Carvalho, Cesar Conopoima, Paulo Goldfeld, Jairo Panetta, Joao P. Ramirez, Michael Souza, Mateus O. Figueiredo, Victor M. D. M. Leite
Summary: The study discusses a new hybrid parallel iterative sparse linear solver framework optimized for petroleum reservoir flow and geomechanical simulation. It demonstrates good parallel scalability and competitive performance compared to established tools. Results showed successful application of the solver to simulations of real and synthetic reservoir models with billions of unknowns running on CPUs and GPUs with up to 2000 processes.
JOURNAL OF COMPUTATIONAL SCIENCE
(2021)
Article
Computer Science, Interdisciplinary Applications
Mae L. Sementilli, Matthew T. McGurn, James Chen
Summary: In this paper, a Volume of Fluid method with a Stratified Flow model is proposed to solve compressible multiphase flows with high parallel efficiency. The solver is a part of an open-source computing tool for studying fuel entrainment and combustion in paraffin-based hybrid rocket motors. The solver successfully reproduces shock tube cases and simulates two-dimensional shear and gravity-driven flows accurately. It also demonstrates near-ideal scaling and good performance in various scalability tests, implying improved computing efficiency for multiphase flow solvers.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2023)
Article
Engineering, Geological
Julia T. Camargo, Joshua A. White, Nicola Castelletto, Ronaldo I. Borja
Summary: This paper aims to enhance the performance of Newton-Krylov solvers for coupled poromechanical problems with two-phase flow by investigating the impact of capillary pressure on preconditioning strategies. Preconditioning approaches that account for the behavior of the flow equations under different capillary pressure relations are proposed to achieve robust numerical performance within a broad range of regimes.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2021)
Letter
Computer Science, Interdisciplinary Applications
Jose Cicero Araujo dos Santos, Paulo Roberto Maciel Lyra, Joao Paulo Rodrigues de Andrade, Artur Castiel Reis de Souza, Ricardo Jorge Morais de Lira Filho, Darlan Karlo Elisiario de Carvalho
Summary: This paper proposes an adaptive flow-based dual volume agglomeration strategy for correcting non-physical terms in the coarse transmissibility matrix of classical multiscale finite volume (MsFV) methods. It also presents a framework to handle non-uniform levels at each coarse control volume, in order to reduce the size of coarse scale matrices. The proposed methodologies are applied to approximate pressure solutions in an Implicit Pressure Explicit Saturation (IMPES) strategy, and their accuracy and efficiency are demonstrated through testing with challenging benchmark problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Engineering, Multidisciplinary
Stefanos Nikolopoulos, Ioannis Kalogeris, George Stavroulakis, Vissarion Papadopoulos
Summary: Recent advances in machine learning have introduced a new era in high performance computing for complex scientific and engineering applications. This study proposes the use of up-to-date machine learning tools to develop iterative solvers capable of efficiently solving large-scale parametrized problems at any desired level of accuracy. The approach involves building an approximate mapping from the problem's parametric space to its solution space using a combination of deep feedforward neural networks and convolutional autoencoders, and refining the initial predictions of the surrogate model using the POD-2G iterative solver.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Geochemistry & Geophysics
Wei Zhang, Zong Dai, Bin Gong, Yahui Wang, Xiaolin Zhang, Xiao Chen
Summary: A hybrid fracture characterization method was proposed to accurately model carbonate reservoirs in the South China Sea, utilizing traditional dual-porosity/dual-permeability (DP) method for small-scale fractures and embedded discrete fracture method (EDFM) for large-scale fractures. By calculating transmissibilities among different grid mediums, the hybrid DP+EDFM model improved water cut matches and accurately predicted water breakthrough in fractured reservoirs compared to conventional DP models.
Article
Mathematics, Applied
Abhinav Jha, Ondrej Partl, Naveed Ahmed, Dmitri Kuzmin
Summary: This article investigates the computational efficiency of flux-corrected finite element discretizations for 3D convection-dominated transport problems. It explores various methods including flux-corrected transport schemes and monolithic limiters, and discretizes in space using continuous Galerkin method and P-1 or Q(1) finite elements. Time integration is performed using Crank-Nicolson method or explicit strong stability preserving Runge-Kutta method. The results of numerical experiments demonstrate the impact of limiting technique, time discretization, and solver on overall performance.
JOURNAL OF NUMERICAL MATHEMATICS
(2023)
Article
Mathematics, Applied
B. Ya. Steinberg, O. B. Steinberg, P. A. Oganesyan, A. A. Vasilenko, V. V. Veselovskiy, N. A. Zhivykh
Summary: This article discusses parallel iterative algorithms for linear systems with block-band matrices, which can be applied to mathematical modeling problems involving finite difference and finite element methods. The solvers are adapted to the problem and computing systems with the use of special precompilers. The article describes the applications of these algorithms to the ACELAN-COMPOS software package for new material modeling and the utilization of parallel programming techniques and processor memory hierarchy optimization to achieve high performance. Numerical experiments confirm the efficiency of the methods and algorithms.
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Sebastian B. M. Bosma, Sergey Klevtsov, Olav Moyner, Nicola Castelletto
Summary: A novel method is presented for applying the MsRSB method to non M-matrices, enhancing the original method with a filtering strategy to enforce M-matrix properties. The method is proven to be effective for scalar and vector problems with multipoint finite volume and finite element discretization schemes, through applications to porous media flow and linear elastic geomechanics. Realistic complex test cases are considered to illustrate the method's performance in two and three-dimensional scenarios.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
S. H. Lee, M. Tene, S. Du, X. Wen, Y. Efendiev
Summary: The study introduces a conservative sequential fully implicit method for compositional reservoir simulation, addressing the numerical challenges involved in multi-phase flow in porous media. By iteratively solving the flow, transport, and phase equilibrium equations, and introducing a thermodynamic flux term, the study successfully ensures volume conservation and resolves numerical difficulties in rapid phase transitions.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Water Resources
Leila Hashemi, Wuis Glerum, Rouhi Farajzadeh, Hadi Hajibeygi
Summary: Accurate quantification of hydrogen transport characteristics in subsurface porous formations is crucial for underground hydrogen storage. This study characterizes the contact angles of hydrogen in contact with brine and sandstones, providing important data for research in this field.
ADVANCES IN WATER RESOURCES
(2021)
Article
Energy & Fuels
Shuai Ma, Binshan Ju, Lin Zhao, Knut-Andreas Lie, Yintao Dong, Qilong Zhang, Yapeng Tian
Summary: This paper discusses incorporating non-Darcy flow correction into embedded discrete fracture modeling (EDFM) and validating the resulting method. It also explores formulating grid-based flow diagnostics on top of the new EDFM method for computationally inexpensive predictions of flow patterns and dynamic heterogeneity measurements. Finally, it demonstrates how flow diagnostics can be utilized to optimize well placement and enhance oil recovery.
JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING
(2022)
Article
Water Resources
Yuhang Wang, Cornelis Vuik, Hadi Hajibeygi
Summary: CO2 injection into deep saline aquifers is a feasible option due to their large storage capacity. Previous studies focused on various trapping mechanisms, but the dynamic interactions and time scales of these mechanisms are not well understood. Results show that different trapping mechanisms have varying time scales, and their dynamic interplay needs to be considered for accurate predictions.
ADVANCES IN WATER RESOURCES
(2022)
Article
Water Resources
Mousa HosseiniMehr, Janio Piguave Tomala, Cornelis Vuik, Mohammed Al Kobaisi, Hadi Hajibeygi
Summary: This study presents a new projection-based embedded discrete fracture model for simulating hydrothermal processes in fractured porous media with complex geometries defined by hexahedral corner-point grids. By fully-coupled simulation of mass and energy conservation equations using a fully-implicit integration scheme, stable simulations are achieved. The method accurately captures the physical influence of conductive fractures and flow barriers on flow and heat transfer fields in complex reservoirs.
ADVANCES IN WATER RESOURCES
(2022)
Article
Computer Science, Interdisciplinary Applications
Francesca Watson, Stein Krogstad, Knut-Andreas Lie
Summary: Ensembles of geomodels can be ranked and selected based on flow diagnostics techniques, which provide a quick way to analyze flow behaviors and estimate oil recovery. These tools serve as proxies for full-featured dynamic modeling and help in evaluating a range of possible outcomes for reservoirs.
COMPUTATIONAL GEOSCIENCES
(2022)
Article
Water Resources
Willemijn van Rooijen, Leila Hashemi, Maartje Boon, Rouhi Farajzadeh, Hadi Hajibeygi
Summary: This paper reports experimental measurements of advancing and receding contact angles for H-2/water system in microfluidic chip with different channel widths. Results show that contact angles decrease with increasing channel widths and N-2/water and CO2/water systems exhibit similar characteristics as H-2/water system.
ADVANCES IN WATER RESOURCES
(2022)
Article
Mechanics
Luyu Wang, Cornelis Vuik, Hadi Hajibeygi
Summary: Simulation of fracture contact mechanics in deformable fractured media is of paramount importance in computational mechanics. This study proposes a stabilized mixed finite element scheme to simulate frictional contact, shear failure, and opening of multiple crossing fractures. A novel treatment is devised to guarantee physical solutions at the intersection of crossing fractures. Numerical tests are conducted to study mechanical behaviors, and the impact of intersecting fractures on frictional contact mechanics is investigated for different loading conditions.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Sara Shokrollahzadeh Behbahani, Hadi Hajibeygi, Denis Voskov, Jan Dirk Jansen
Summary: A smoothed embedded finite-volume modeling method is proposed for faulted and fractured heterogeneous poroelastic media. This method achieves coupling between fault slip mechanics, deformation mechanics, and fluid flow equations to ensure stability and consistency of simulation results. The method also addresses the challenge of oscillatory stress fields at faults through a smoothed embedded strategy. The sEFVM provides locally conservative mass flux and stress fields on a staggered grid, showing promise for field-scale relevant simulation of induced seismicity.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Luyu Wang, Yuhang Wang, Cornelis Vuik, Hadi Hajibeygi
Summary: In the past decades, there has been a growing interest in numerical simulation for flow in fractured porous media. However, most studies have focused on 2D or pseudo-3D computational models and the impact of 3D complex structures on seepage has not been fully addressed. This work presents a method for modeling seepage in 3D heterogeneous porous media, including stochastic fractures and inclusions, and provides numerical tests to analyze the hydraulic characteristics.
COMPUTERS AND GEOTECHNICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Aleksei Novikov, Denis Voskov, Mark Khait, Hadi Hajibeygi, Jan Dirk Jansen
Summary: We present a scalable collocated Finite Volume Method (FVM) for simulating induced seismicity due to pore pressure changes. The method employs a fully-implicit fully-coupled description of flow, elastic deformation, and contact mechanics, resulting in a discrete system on a flexible unstructured mesh. The cell-centered collocated scheme allows for easy integration of different physical equations, and a generic multi-point flux approximation is formulated to handle heterogeneity and cross-derivative terms. The method is found to be accurate and efficient, providing a promising framework for simulating induced seismicity in various geoscientific applications.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Energy & Fuels
Yuhang Wang, Mousa HosseiniMehr, Arjan Marelis, Hadi Hajibeygi
Summary: We develop an algebraic dynamic multilevel (ADM) method for simulating fluid flow and heat transfer in fractured geothermal reservoirs. The method uses the projection-based embedded discrete fracture model (pEDFM) to model fractures with varying conductivities. The ADM method allows mapping of the fine-scale system to a discrete domain with an adaptive grid resolution, improving computational efficiency by providing accurate solutions with only a fraction of fine-scale grids.
Article
Chemistry, Physical
Zhenkai Bo, Maartje Boon, Hadi Hajibeygi, Suzanne Hurter
Summary: Underground Hydrogen Storage (UHS) is an emerging large-scale energy storage technology. Researchers investigate its feasibility and performance using numerical simulations, but existing studies may not reliably quantify the feasibility of potential storage projects due to the lack of accurate relative permeability models. This study examines how experimentally measured hydrogen-brine relative permeability hysteresis affects the performance of UHS projects through numerical reservoir simulations.
INTERNATIONAL JOURNAL OF HYDROGEN ENERGY
(2023)
Article
Energy & Fuels
Knut-Andreas Lie, Stein Krogstad
Summary: This paper compares two graph-based approaches for building simplified field management optimization models. The first approach represents the reservoir as a graph of 1D numerical flow models, while the second approach aims at building richer models that mimic the intercell connections in a conventional 3D grid model. The comparisons show that graph models with connectivity that mimics the intercell connectivity in coarse 3D models can represent a wider range of fluid connections and are generally more robust and easier to train.
GEOENERGY SCIENCE AND ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Tian Liang, Lin Fu
Summary: In this work, a new shock-capturing framework is proposed based on a new candidate stencil arrangement and the combination of infinitely differentiable non-polynomial RBF-based reconstruction in smooth regions with jump-like non-polynomial interpolation for genuine discontinuities. The resulting scheme achieves high order accuracy and resolves genuine discontinuities with sub-cell resolution.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Lukas Lundgren, Murtazo Nazarov
Summary: In this paper, a high-order accurate finite element method for incompressible variable density flow is introduced. The method addresses the issues of saddle point system and stability problem through Schur complement preconditioning and artificial compressibility approaches, and it is validated to have high-order accuracy for smooth problems and accurately resolve discontinuities.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Gabriele Ciaramella, Laurence Halpern, Luca Mechelli
Summary: This paper presents a novel convergence analysis of the optimized Schwarz waveform relaxation method for solving optimal control problems governed by periodic parabolic PDEs. The analysis is based on a Fourier-type technique applied to a semidiscrete-in-time form of the optimality condition, which enables a precise characterization of the convergence factor at the semidiscrete level. The behavior of the optimal transmission condition parameter is also analyzed in detail as the time discretization approaches zero.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jonas A. Actor, Xiaozhe Hu, Andy Huang, Scott A. Roberts, Nathaniel Trask
Summary: This article introduces a scientific machine learning framework that uses a partition of unity architecture to model physics through control volume analysis. The framework can extract reduced models from full field data while preserving the physics. It is applicable to manifolds in arbitrary dimension and has been demonstrated effective in specific problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Nozomi Magome, Naoki Morita, Shigeki Kaneko, Naoto Mitsume
Summary: This paper proposes a novel strategy called B-spline based SFEM to fundamentally solve the problems of the conventional SFEM. It uses different basis functions and cubic B-spline basis functions with C-2-continuity to improve the accuracy of numerical integration and avoid matrix singularity. Numerical results show that the proposed method is superior to conventional methods in terms of accuracy and convergence.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Timothy R. Law, Philip T. Barton
Summary: This paper presents a practical cell-centred volume-of-fluid method for simulating compressible solid-fluid problems within a pure Eulerian setting. The method incorporates a mixed-cell update to maintain sharp interfaces, and can be easily extended to include other coupled physics. Various challenging test problems are used to validate the method, and its robustness and application in a multi-physics context are demonstrated.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Xing Ji, Fengxiang Zhao, Wei Shyy, Kun Xu
Summary: This paper presents the development of a third-order compact gas-kinetic scheme for compressible Euler and Navier-Stokes solutions, constructed particularly for an unstructured tetrahedral mesh. The scheme demonstrates robustness in high-speed flow computation and exhibits excellent adaptability to meshes with complex geometrical configurations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Alsadig Ali, Abdullah Al-Mamun, Felipe Pereira, Arunasalam Rahunanthan
Summary: This paper presents a novel Bayesian statistical framework for the characterization of natural subsurface formations, and introduces the concept of multiscale sampling to localize the search in the stochastic space. The results show that the proposed framework performs well in solving inverse problems related to porous media flows.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jacob Rains, Yi Wang, Alec House, Andrew L. Kaminsky, Nathan A. Tison, Vamshi M. Korivi
Summary: This paper presents a novel method called constrained optimized DMD with Control (cOptDMDc), which extends the optimized DMD method to systems with exogenous inputs and can enforce the stability of the resulting reduced order model (ROM). The proposed method optimally places eigenvalues within the stable region, thus mitigating spurious eigenvalue issues. Comparative studies show that cOptDMDc achieves high accuracy and robustness.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Andrea La Spina, Jacob Fish
Summary: This work introduces a hybridizable discontinuous Galerkin formulation for simulating ideal plasmas. The proposed method couples the fluid and electromagnetic subproblems monolithically based on source and employs a fully implicit time integration scheme. The approach also utilizes a projection-based divergence correction method to enforce the Gauss laws in challenging scenarios. Numerical examples demonstrate the high-order accuracy, efficiency, and robustness of the proposed formulation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Junhong Yue, Peijun Li
Summary: This paper proposes two numerical methods (IP-FEM and BP-FEM) to study the flexural wave scattering problem of an arbitrary-shaped cavity on an infinite thin plate. These methods successfully decompose the fourth-order plate wave equation into the Helmholtz and modified Helmholtz equations with coupled conditions on the cavity boundary, providing an effective solution to this challenging problem.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
William Anderson, Mohammad Farazmand
Summary: We develop fast and scalable methods, called RONS, for computing reduced-order nonlinear solutions. These methods have been proven to be highly effective in tackling challenging problems, but become computationally prohibitive as the number of parameters grows. To address this issue, three separate methods are proposed and their efficacy is demonstrated through examples. The application of RONS to neural networks is also discussed.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Marco Caliari, Fabio Cassini
Summary: In this paper, a second order exponential scheme for stiff evolutionary advection-diffusion-reaction equations is proposed. The scheme is based on a directional splitting approach and uses computation of small sized exponential-like functions and tensor-matrix products for efficient implementation. Numerical examples demonstrate the advantage of the proposed approach over state-of-the-art techniques.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo
Summary: This work proposes a high order conservative semi-Lagrangian method for the inhomogeneous Boltzmann equation of rarefied gas dynamics. The method combines a semi-Lagrangian scheme for the convection term, a fast spectral method for computation of the collision operator, and a high order conservative reconstruction and a weighted optimization technique to preserve conservative quantities. Numerical tests demonstrate the accuracy and efficiency of the proposed method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jialei Li, Xiaodong Liu, Qingxiang Shi
Summary: This study shows that the number, centers, scattering strengths, inner and outer diameters of spherical shell-structured sources can be uniquely determined from the far field patterns. A numerical scheme is proposed for reconstructing the spherical shell-structured sources, which includes a migration series method for locating the centers and an iterative method for computing the inner and outer diameters without computing derivatives.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)