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On the Derivation of Closed-Form Expressions for Displacements, Strains, and Stresses Inside Poroelastic Reservoirs

Cornelissen, P. (author), Meulenbroek, B.J. (author), Jansen, J.D. (author)

We critically review the derivation of closed-form analytical expressions for elastic displacements, strains, and stresses inside a subsurface reservoir undergoing pore pressure changes using inclusion theory. Although developed decades ago, inclusion theory has been used recently by various authors to obtain fast estimates of depletion...

journal article 2024

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Steady-State Flow Through a Subsurface Reservoir with a Displaced Fault and its Poro-elastic Effects on Fault Stresses

Cornelissen, P. (author), Jansen, J.D. (author)

We consider steady-state single-phase confined flow through a subsurface porous layer containing a displaced, fully conductive fault causing a sudden jump in the flow path, and we employ (semi-)analytical techniques to compute the corresponding pressures and fault stresses. In particular, we obtain a new solution for the pressure field with...

journal article 2023

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Laboratory study on the effect of stress cycling pattern and rate on seismicity evolution

Naderloo, M. (author), Veltmeijer, A.V. (author), Jansen, J.D. (author), Barnhoorn, A. (author)

Recent laboratory and field studies suggest that temporal variations in injection patterns (e.g., cyclic injection) might trigger less seismicity than constant monotonic injection. This study presents results from uniaxial compressive experiments performed on Red Felser sandstone samples providing new information on the effect of stress...

journal article 2023

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Smoothed embedded finite-volume method (sEFVM) for modeling contact mechanics in deformable faulted and fractured porous media

Shokrollahzadeh Behbahani, S. (author), Hajibeygi, H. (author), Voskov, D.V. (author), Jansen, J.D. (author)

A smoothed embedded finite-volume modeling (sEFVM) method is presented for faulted and fractured heterogeneous poroelastic media. The method casts a fully coupled strategy to treat the coupling between fault slip mechanics, deformation mechanics, and fluid flow equations. This ensures the stability and consistency of the simulation results,...

journal article 2022

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A scalable collocated finite volume scheme for simulation of induced fault slip

Novikov, A. (author), Voskov, D.V. (author), Khait, M. (author), Hajibeygi, H. (author), Jansen, J.D. (author)

We present a scalable collocated Finite Volume Method (FVM) to simulate induced seismicity as a result of pore pressure changes. A discrete system is obtained based on a fully-implicit fully-coupled description of flow, elastic deformation, and contact mechanics at fault surfaces on a flexible unstructured mesh. The cell-centered collocated...

journal article 2022

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Induced aseismic slip and the onset of seismicity in displaced faults

Jansen, J.D. (author), Meulenbroek, B.J. (author)

We address aseismic fault slip and the onset of seismicity resulting from depletion-induced or injection-induced stresses in reservoirs with pre-existing vertical or inclined faults. Building on classic results, we discuss semi-analytical modelling techniques for fault slip including dislocation theory, Cauchy-type singular integral equations...

journal article 2022

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Accelerating the solution of linear systems appearing in two-phase reservoir simulation by the use of POD-based deflation methods

Diaz Cortes, Gabriela Berenice (author), Vuik, Cornelis (author), Jansen, J.D. (author)

We explore and develop a Proper Orthogonal Decomposition (POD)-based deflation method for the solution of ill-conditioned linear systems, appearing in simulations of two-phase flow through highly heterogeneous porous media. We accelerate the convergence of a Preconditioned Conjugate Gradient (PCG) method achieving speed-ups of factors up to...

journal article 2021

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A multiscale method for data assimilation

Jesus de Moraes, R. (author), Hajibeygi, H. (author), Jansen, J.D. (author)

In data assimilation problems, various types of data are naturally linked to different spatial resolutions (e.g., seismic and electromagnetic data), and these scales are usually not coincident to the subsurface simulation model scale. Alternatives like upscaling/downscaling of the data and/or the simulation model can be used, but with...

journal article 2020

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An Efficient Robust Optimization Workflow using Multiscale Simulation and Stochastic Gradients

Jesus de Moraes, R. (author), Fonseca, Rahul-Mark (author), Helici, Mircea A. (author), Heemink, A.W. (author), Jansen, J.D. (author)

We present an efficient workflow that combines multiscale (MS) forward simulation and stochastic gradient computation - MS-StoSAG - for the optimization of well controls applied to waterflooding under geological uncertainty. A two-stage iterative Multiscale Finite Volume (i-MSFV), a mass conservative reservoir simulation strategy, is employed as...

journal article 2019

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Iterative multiscale gradient computation for heterogeneous subsurface flow

Jesus de Moraes, R. (author), de Zeeuw, W. (author), R. P. Rodrigues, José (author), Hajibeygi, H. (author), Jansen, J.D. (author)

We introduce a semi-analytical iterative multiscale derivative computation methodology that allows for error control and reduction to any desired accuracy, up to fine-scale precision. The model responses are computed by the multiscale forward simulation of flow in heterogeneous porous media. The derivative computation method is based on the...

journal article 2019

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Insights From Closed-Form Expressions for Injection- and Production-Induced Stresses in Displaced Faults

Jansen, J.D. (author), Singhal, P. (author), Vossepoel, F.C. (author)

We consider fluid-induced seismicity and present closed-form expressions for the elastic displacements, strains, and stresses resulting from injection into or production from a reservoir with displaced faults. We apply classic inclusion theory to two-dimensional finite-width and infinite-width reservoir models. First, we simplify the fault model...

journal article 2019

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Discerning in-situ performance of an enhanced-oil-recovery agent in the midst of geological uncertainty: II. Fluvial-deposit reservoir

Fatemi, S.A. (author), Jansen, J.D. (author), Rossen, W.R. (author)

An enhanced-oil-recovery (EOR) pilot test has multiple goals, among them to be profitable (if possible), demonstrate oil recovery, verify the properties of the EOR agent in situ, and provide the information needed for scaleup to an economical process. Given the complexity of EOR processes and the inherent uncertainty in the reservoir...

journal article 2019

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On POD-based Deflation Vectors for DPCG applied to porous media problems

Diaz Cortes, G.B. (author), Vuik, Cornelis (author), Jansen, J.D. (author)

We study fast and robust iterative solvers for large systems of linear equations resulting from simulation of flow trough strongly heterogeneous porous media. We propose the use of preconditioning and deflation techniques, based on information obtained frfrom the system, to reduce the time spent in the solution of the linear system.An important...

journal article 2018

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Influence of foam on the stability characteristics of immiscible flow in porous media

van der Meer, J.M. (author), Farajzadeh, R. (author), Rossen, W.R. (author), Jansen, J.D. (author)

Accurate field-scale simulations of foam enhanced oil recovery are challenging, due to the sharp transition between gas and foam. Hence, unpredictable numerical and physical behavior is often observed, casting doubt on the validity of the simulation results. In this paper, a thorough stability analysis of the foam model is presented to validate...

journal article 2018

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The Small Effect of Poroelastic Pressure Transients on Triggering of Production-Induced Earthquakes in the Groningen Natural Gas Field

Postma, Tom (author), Jansen, J.D. (author)

Over the past decade, a steep increase in the number of seismic events has been observed in the Groningen gas field, the Netherlands. It is generally accepted that these are induced by compaction of the reservoir rock due to extensive depletion, causing a buildup of strain energy in faults that may be released seismically. We address the...

journal article 2018

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Computing derivative information of sequentially coupled subsurface models

Jesus de Moraes, R. (author), Rodrigues, José R.P. (author), Hajibeygi, H. (author), Jansen, J.D. (author)

A generic framework for the computation of derivative information required for gradient-based optimization using sequentially coupled subsurface simulation models is presented. The proposed approach allows for the computation of any derivative information with no modification of the mathematical framework. It only requires the forward model...

journal article 2018

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Discerning in-situ performance of an EOR agent in the midst of geological uncertainty I: Layer cake reservoir model

Fatemi, S.A. (author), Jansen, J.D. (author), Rossen, W.R. (author)

An enhanced-oil-recovery (EOR) pilot test has multiple goals, among them to demonstrate oil recovery, verify the properties of the EOR agent in-situ, and provide the information needed for scale-up to an economic process. Given the complexity of EOR processes and the inherent uncertainty in the reservoir description, it is a challenge to...

journal article 2017

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Flow-based dissimilarity measures for reservoir models: a spatial-temporal tensor approach

Insuasty, Edwin (author), van den Hof, P.M.J. (author), Weiland, Siep (author), Jansen, J.D. (author)

In reservoir engineering, it is attractive to characterize the difference between reservoir models in metrics that relate to the economic performance of the reservoir as well as to the underlying geological structure. In this paper, we develop a dissimilarity measure that is based on reservoir flow patterns under a particular operational...

journal article 2017

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Multiscale gradient computation for flow in heterogeneous porous media

Jesus de Moraes, R. (author), Rodrigues, José R P (author), Hajibeygi, H. (author), Jansen, J.D. (author)

An efficient multiscale (MS) gradient computation method for subsurface flow management and optimization is introduced. The general, algebraic framework allows for the calculation of gradients using both the Direct and Adjoint derivative methods. The framework also allows for the utilization of any MS formulation that can be algebraically...

journal article 2017

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Recent Developments in Closed-Loop Approaches for Real-Time Mining and Petroleum Extraction

Benndorf, J. (author), Jansen, J.D. (author)

Advanced data acquisition and process modelling technology provide ‘real-time’ data and decision support capacity for different aspects of the resource extraction process. Closed-loop approaches have recently been applied to utilize information extracted from these data in combination with advanced computing technology for improved production...

journal article 2017