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W. Luo

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Soft stimulation technologies have been proposed as a means to reduce the breakdown pressure and mitigate the risk of induced seismicity during geothermal reservoir stimulation. Yet, the underlying mechanisms remain poorly understood due to the complexity of the coupled thermo-hydro-mechanical (THM) processes. In this work, a fully coupled THM model is developed to evaluate and compare the performance of different stimulation scenarios (monotonic, stepwise injection rate, cyclic injection rate or temperature, and stepwise combined with cyclic injection rate stimulation) on a synthetic, highly permeable reservoir with near-borehole clogging. Simulation results show that stepwise injection rate stimulation yields the most favourable outcomes, followed by the stepwise injection rate combined with cyclic injection rate stimulation. On the other hand, fatigue effects are seen to play a negligible role in the improved performance since the tensile stress at the fracture tip is relaxed with the continuous fracture growth. In addition, cyclic injection temperature stimulation is generally neither better nor worse than monotonic stimulation, but has slightly different characteristics, creating more local damage controlled by the period of the injection cycle. Cyclic injection rate stimulation can slightly reduce the peak pressure, compared with monotonic stimulation, but only when the injection rate is low. The reduction in peak pressure occurs due to the combination of thermally-induced stresses associated with cooling and incremental damage rather than any influence of fatigue. Stepwise or low-frequency cyclic injection rate stimulation are suggested rather than a high-frequency cyclic injection rate stimulation, while injection with cyclic temperatures is suggested when more local damage is wanted. ...
Doctoral thesis (2026) - W. Luo, P.J. Vardon, Florian Amann, G.G. Drijkoningen, A.A.M. Dieudonné
Near-borehole coupled thermo-hydro-mechanical (THM) processes are critical in defining the success or failure of geothermal projects. Injectivity decline due to clogging or the increased viscosity of cold water reduces the safe operational window of geothermal projects. However, near-borehole fracturing, a result of near-borehole coupled thermo-hydro-mechanical (THM) processes, is thought to possibly be able to contribute to maintaining or improving the re-injection performance. Understanding and being able to simulate the fracturing processes is therefore of great significance for both analysing re-injection and designing stimulation operations. This thesis presents a geo-mechanical tool, based on the finite element method and cohesive zone model, to simulate the fracture initiation and propagation under THM loadings. The geo-mechanical tool is used to study several stimulation scenarios, including monotonic, stepwise, cyclic, and stepwise combined with cyclic stimulation. To monitor such stimulation processes, this thesis proposes a dual-cable distributed acoustic sensing (DAS) system in a single vertical well and investigates its feasibility to localise and understand near-borehole cracking events.

In the numerical method, possible discontinuities are represented by zero-thickness triple-nodded interface elements, which allow solid elements to separate with mechanical damage and the simulation of longitudinal and transversal fluid/heat flow in the discontinuity. The cubic law is used to simulate the fracture transmissivity changes, while an elasto-damage law is used to characterise the mechanical response of the discontinuity. To simulate the fracture initiation and propagation from high-permeability intact rock, interface elements are inserted in-between all the solid elements, with high stiffness and transversal hydraulic coefficient assigned to reduce artificial compliance. An artificial heat conductivity is introduced to stabilise the numerical solution, in which high Peclet numbers lead to numerical divergence. Substantial verifications and validation are implemented to demonstrate the performance of the developed method.

A new elasto-damage law is developed by incorporating a fatigue damage variable into the tensile branch, in order to account for the fatigue effects during the simulation of cyclic (thermal) stimulation to geothermal reservoirs. The fatigue damage variable is calibrated using the number of loading cycles and fatigue life at different load intensities, with Palmgren-Miner’s rule used to account for varying-amplitude cyclic loading. The proposed model is validated against extensive laboratory tests, including cyclic Brazilian test, cyclic hydraulic fracturing test and cyclic thermo-hydraulic fracturing test. The validation results show good agreement with the experimental data, demonstrating that the proposed model is capable of handling fatigue damage under cyclic and coupled THM loadings.

The developed tool is then used to study stimulation to a synthetic sedimentary reservoir, which, according to regional experience, is assumed to be clogged in the near-borehole region. THM simulations of various stimulation strategies - monotonic, stepwise, cyclic, and stepwise combined with cyclic - demonstrate that the stepwise stimulation yields the most favourable outcomes. Specifically, it enables a significantly lower peak injection pressure with more near-borehole damage. This performance is not achievable using either monotonic or cyclic strategies (assuming same Qinj and Tinj). Conversely, cyclic-injection-rate stimulation slightly underperforms (under high injection rate) or slightly outperforms (under low injection rate) the monotonic stimulation. A combined approach incorporating both cyclic and stepwise strategies may lead to slightly better stimulation performance, showing lower peak pressure, compared to corresponding monotnic stimulation, but is inferior to the stepwise stimulation alone.

The feasibility of using a single-well dual-cable DAS to fully localise and understand the near-borehole micro-seismic events is investigated based on synthetic signals, assuming homogenous and isotropic media. A localisation method is introduced to determine the source depth, epicentral distance and azimuth. Sensitivity analysis shows that the localisation accuracy is not sensitive to source with frequency varying from 50 Hz to 200 Hz. But a low signal-to-noise ratio and/or source-to-receiver azimuth close to 0◦ can lead to decreasing accuracy. Moreover, resolvability analysis suggest that non double-couple moment tensor components Mxx,Myy and Mzz can be reliably resolved with an epicentral distance within 20 meters, showing improvement on the case of only one cable in a well. A discussion based on the geo-mechanical simulation demonstrates that the single-well dual-cable DAS can be used to understand near-borehole tensile fractures induced during thermal stimulation, with a limited epicentral distance, which implies it is well suited to monitoring stimulation operations.

This thesis contributes to the energy transition by developing a geo-mechanical model to simulate cyclic and coupled THM processes, including the development of fractures, around the near field of the wellbore which can allow the design of novel cyclic thermal stimulation and by proposing a single-well dual-cable DAS configuration that is demonstrated to be feasible to localise and understand near-borehole micro-seismic events to monitor thermal stimulation operations.
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Journal article (2026) - Wen Luo, Anne Catherine Dieudonné, Josselin Ouf, Florian Amann, Philip J. Vardon
Rocks can undergo fatigue failure when subjected to cyclic mechanical, hydraulic, or thermal loadings, or a combination of these. Therefore, accounting for possible fatigue damage is important for subsurface engineering projects, such as the cyclic stimulation of geothermal reservoirs. However, existing models do not simultaneously account for degradation of both tensile strength and stiffness under varying-amplitude loading and coupled thermo-hydro-mechanical (THM) conditions. To address this, a new cohesive zone model is developed to account for the effect of fatigue on tensile strength and stiffness. The model is then used within the framework of zero-thickness interface elements to simulate the response of pre-existing or new fractures. Hydraulic and thermal processes are included in both the cohesive interface elements and the continuum elements, allowing the consideration of coupled thermo-hydro-mechanical processes. The fatigue damage variable is set to evolve with the number and magnitude of cycles according to Palmgren-Miner's rule. The proposed method is validated against three laboratory tests from the literature, including cyclic Brazilian test, cyclic hydraulic fracturing test and cyclic thermal stimulation test. All three validation results show that the fatigue damage or reduced breakdown pressure can be well reproduced. Mesh sensitivity based on the simulation of the Brazilian test, in which interface elements are inserted in-between all the continuum elements, highlights the influence of the mesh orientation and mesh density on the simulation results. In addition, stabilisation of the method is demonstrated by increasing the mechanical viscosity, which must be used with care to avoid predicting a longer fatigue life. The ability of the method to handle varying-amplitude cyclic loading is demonstrated by the simulation of a synthetic cyclic loading scheme based on the Brazilian test. The proposed method can be used to support the design of cyclic thermal stimulation campaigns for geothermal (or other) reservoirs, by being able to simulate the reduction in strength due to fatigue, and thus reducing stimulation pressures needed. ...
Journal article (2025) - Josselin Ouf, Philip J. Vardon, Kavan Khaledi, Wen Luo, Mohammadreza Jalali, Florian Amann
This study presents a thermo-hydro-mechanical framework to model hydrothermal systems within a simplified faulted synthetic reservoir, replicating current production scenarios in The Netherlands and Germany. The reservoir, composed of porous and permeable sandstone, and the confining layer, made of porous but less permeable shale, undergoes a process where cold water is injected and hot water is extracted. A fault, situated 750 meters from the injection well, is investigated to examine the conditions when fault slip could occur. Various fault and formation stiffnesses are modeled to assess their impact on fault stability. Our analysis reveals that stress changes induced by hydrothermal operations can lead to fault reactivation, with the stiffness contrast between the reservoir and confining layers playing a significant role in when and where fault reactivation can occur. Stiffer confining layers lead to reactivation occurring more closely associated with the passage of the cooling front. In contrast, a stiffer reservoir results in greater and more gradual stress changes, making reactivation more closely related to the total volume of cooled rock. ...
Review (2025) - Pingli Liu, Yu Wu, Xiang Chen, Wen Luo, Jinming Liu, Pengfei Chen, Gang Xiong, Juan Du
Acid treatments aimed at reducing formation breakdown pressure are becoming increasingly popular in stimulating deep and ultra-deep geothermal and natural gas reservoirs, where high pumping pressures are typically required for fracturing. This technique effectively reduces surface pumping pressures, ensuring safe operations. Through multiscale experiments and mechanistic analysis, this study reveals the fundamental mechanisms underlying breakdown pressure reduction via acid preconditioning. Key findings include: (1) High breakdown pressures arise from high in-situ stress, low porosity and permeability, and engineering contamination. (2) Acid-induced mineral dissolution triggers dual effects-pore structure evolution enhances reservoir permeability (facilitating subsequent fracturing fluid imbibition and pressure transmission), while mechanical property degradation substantially weakens rock resistance to fracturing. (3) Comparative analysis of HCl, organic acids, and chelating agents demonstrates that high-temperature reservoirs benefit from low-corrosivity chelating agents (e.g., GLDA) or organic acid systems combined with low-concentration HCl, achieving optimal dissolution efficiency while ensuring wellbore integrity. (4) A multiscale laboratory evaluation framework was established to integrate experimental data for optimizing acid formulations and post-acid fracturing strategies. This paper provides mechanistic insights, acid system selection criteria, and experimental methodologies for breakdown pressure reduction in deep carbonate reservoirs, offering significant engineering value for achieving safe and efficient reservoir stimulation. ...
Journal article (2025) - Wen Luo, Guy Drijkoningen, Mahmoud Eltayieb, Florian Amann, Philip J. Vardon
Distributed acoustic sensing (DAS) that uses optical fibres as sensing units is attracting increasing interest for micro-seismic monitoring in geothermal projects. Standard optical fibres provide one-component measurements along the fibre and this pose challenges in determining certain characteristics of the source, such as its azimuth and its full moment tensor. Full source characteristics can be obtained via offset downhole measurements and/or measurements from horizontal well sections but these come with substantial extra costs. This paper proposes a single-well dual-cable DAS configuration to reduce the need for drilling additional wells or sections, where two DAS cables are assumed to be positioned within a single vertical well at opposite sides of the well. Synthetic DAS signals are generated by an open-source code that assumes plane-layered media and are used to study the feasibility of the dual-cable DAS for localising a seismic source and resolving its moment tensor. A localisation procedure is presented, and a sensitivity analysis of localisation accuracy is conducted with respect to source parameters and noise levels. In addition, an analysis is performed to assess the resolvability of the moment tensor components from the dual-cable DAS configuration. Results suggest the source location can be fully determined, yet low signal-to-noise ratio and azimuth close to 0∘ (North, aligned with the two cables) lead to a decrease in accuracy. The full moment tensor can be resolved only if the epicentral distance is 5 m or less, while non-double-couple components can be reliably resolved with an epicentral distance up to 20 m, showing improvement compared to installations with a single cable. Consequently, near-borehole failures, regardless of the source mechanisms, can be characterised within an epicentral distance of 5 m. With epicentral distance increasing, resolvability of the mix-mode failures is reduced first, followed by the resolvability of the pure shear or tensile failures, which depends on the azimuth. Overall, the results demonstrate that a single-well dual-cable configuration has the potential for monitoring and understanding near-borehole micro-seismic events induced during geothermal reinjection and stimulation operations. ...
Journal article (2025) - Wen Luo, Joaquín Liaudat, Josselin Ouf, Anne Catherine Dieudonné, Florian Amann, Philip J. Vardon
Cold water injection into geothermal reservoirs is a common, sometimes necessary, technique for multiple reasons including the replenishment and stimulation of the reservoirs, and the disposal of waste water. The injection of cold water results in a thermo-hydro-mechanical (THM) impulse, which can cause near-wellbore cracking. A method is presented to simulate coupled thermo-hydro-mechanical processes, including the re-activation of existing fractures and fracturing of the rock matrix. The model is based on the finite element method, and utilises a newly developed cohesive interface element to represent discontinuities. The interface element belongs to the family of zero-thickness elements and is triple-noded. It is developed to allow the simulation of longitudinal and transversal fluid/heat flow. The cubic law is used to simulate the fracture transmissivity as a function of its aperture, while a elasto-damage law is used to characterise the mechanical response of the discontinuity. The method is successfully verified against analytical solutions for hydraulic fracturing (KGD model) and for the thermo-hydraulic response of a single fracture (Lauwerier’s problem). As numerical oscillations are observed due to the high Péclet number, an artificial diffusion is added to stabilise the numerical solution with sufficient accuracy. Qualitative validation is achieved against experimental data of cold water injection in granite samples. Fracture branching is observed in the case with large cooling shock, while a single fracture is induced in the case with smaller cooling shock, as was observed in the experiment. The validation demonstrates the capability of the proposed model to simulate fracturing processes under THM couplings. ...
Journal article (2024) - Josselin Ouf, Julian Osten, Wen Luo, Kavan Khaledi, Mohammadreza Jalali, Philip J. Vardon, Florian Amann
This paper presents a combined laboratory and numerical investigation on the injection-induced permeability changes in pre-existing fractures. The analyses conducted were primarily based on the results of an innovative laboratory experiment designed to replicate the key mechanisms that occur during hydraulic stimulation of naturally fractured rocks and/or faulted zones. The experiment involved pressure-controlled fluid injection into a laboratory-scale pre-existing fracture within a granite block, which was subjected to true triaxial stress conditions. Rough and smooth fractures are investigated, and the results are discussed. Based on the experimental results, two contributing mechanisms were considered to describe the pressure-driven permeability changes in pre-existing fractures: (1) elastic opening/closure leading to a reversible permeability change, and (2) fracture sliding in shear mode, causing dilation and hence an irreversible permeability increase. With these assumptions, an aperture-dependent permeability function was adopted to couple the hydraulic flow with the mechanical deformations along the fracture. Subsequently, a 3D coupled hydro-mechanical model was developed to replicate fluid-injection tests conducted at various conditions, including different stress conditions and fracture surface roughness. The employed modeling framework effectively captured the experimental observations. Our results indicate that the maximum permeability increases twofold. ...
Journal article (2024) - Josselin Ouf, Kavan Khaledi, Philip J. Vardon, Wen Luo, Mohammadreza Jalali, Florian Amann
This study presents a fully coupled hydro-mechanical framework for modeling hydraulic shearing in a mesoscale reservoir located at the Grimsel Test Site, Switzerland. The experiment was conducted on a ductile–brittle fault embedded in low-permeable granite. We observe that normal fracture opening increases flow channel recoverably, while fracture sliding locks asperities leading to a non-recoverable increase in flow. To couple these processes, we use a poro-elasto-plastic constitutive framework and employ a permeability function that depends on several parameters, such as dilation angle, in-situ stresses, residual aperture and maximum aperture. Our results capture the recorded pressure responses well, and indicate that the permeability changes by one order of magnitude during the experiment. ...
Conference paper (2023) - Wen Luo, Ouf Josselin, Philip J. Vardon, Anne-Catherine Dieudonné, Joaquín Liaudat, Kavan Khaledi, Reza Jalali, Florian Amann
Heat and electricity production from deep hot reservoirs through hydrothermal or petrothermal system requires to inject cold fluid in a naturally or artificially fractured medium. Cold water injection in a hot reservoirs causes thermo-hydro-mechanical (THM) coupled processes that may have several influences on operations and long term production. Cold water has a higher viscosity, which means injection can become difficult due to higher flow impedance, while thermal diffusion in the rock matrix causes shrinkage and thus an increasing fracture aperture over time that can lead to flow channeling and a reduction of operation time. A deep understanding of the contribution of coupled THM processes to injection into fractured media is thus important to predict the long-term performance of a geothermal power plant. In this study, coupled THM processes in a single fracture are numerically investigated with two different approaches to model the discontinuity. The first numerical approach proposes modelling an implicit fracture in a fracture zone using solid elements. The impact of the fracture is introduced by means of a stress dependent fracture aperture, which in turn determines the fracture transmissivity. This function allows recovery of the opening, and thus the model replicates opening and closure of the fracture. In the second approach, zero-thickness interface elements are used to explicitly model the opening of an existing fracture, following the work by Liaudat et al. A constitutive law that is capable of describing the fracture initiation, propagation, closing and opening is implemented in this approach, considering heat transfer in the discontinuity. In both approaches, the simulation of cold water injection requires to consider the heat and hydraulic flows in the fracture alongside mechanical behaviour, since changes in pore water pressure and temperature influence the fracture aperture, thus modifying the fracture transmissivity. ...
Review (2023) - W. Luo, A. Kottsova, P. J. Vardon, A. C. Dieudonné, M. Brehme
In geothermal projects, reinjection of produced water has been widely applied for disposing wastewater, supplying heat exchange media and maintaining reservoir pressure. Accordingly, it is a key process for environmental and well performance assessment, which partly controls the success of projects. However, the injectivity, a measure of how easily fluids can be reinjected into reservoirs, is influenced by various processes throughout installation and operation. Both injectivity decline and enhancement have been reported during reinjection operations, while most current studies tend to only focus on one aspect. This review aims to provide a comprehensive discussion on how the injectivity can be influenced during reinjection, both positively and negatively. This includes a detailed overview of the different clogging mechanisms, in which decreasing reservoir temperature plays a major role, leading to injectivity decline. Strategies to avoid and recover from injectivity reduction are also introduced. Followed is an overview of mechanisms underlying injectivity enhancement during reinjection, wherein re-opening/shearing of pre-existing fractures and thermal cracking have been identified as the main contributors. In practice, nevertheless, mixed-mechanism processes play a key role during reinjection. Finally, this review provides an outlook on future research directions that can enhance the understanding of injectivity-related issues. ...
Abstract (2022) - W. Luo, P.J. Vardon, Barbara Cox, A.A.M. Dieudonné
and boundary connected with aquifer respectively, are discussed. On the basis of these two boundary conditions, several factors that influence the fluid loss process are studied. For the thief zone with no-flow boundary, our key conclusions illustrate that once the pressure front reaches an opening in the sealing, fluid loss occurs. However, fluid loss is substantially limited (leakage rate lower than 0.02 m3/h) within one year of operation. The time at which leakage is limited, is controlled by the permeability shock between the thief zone and reservoir, transmissivity of fracture in sealing layer and injection pressure. In addition, only the injection pressure has a significant influence on the total amount of lost fluid, while the permeability shock and fracture conductivity do not influence it. However, more permeable thief zone and more conductive fracture could be helpful to quickly prevent the fluid loss, since the pressurisation up process can be achieved more quickly, and thus prevent the leakage in the early stage, ensuring a stable injection rate in the long term . In contrast, for the thief zone with fixed-pressure boundary, fluid loss does not stop. Instead, it keeps a constant leakage rate, indicating a continuous fluid loss. However, the increase in fluid pressure remains more limited. In this case, a more permeable thief zone, more conductive opening and higher injection pressure increase the leakage rate, yet reduce the elevated pressure. In conclusion, leakage can be prevented as a result of pressurization up of thief zones sealed by faults, and the only thing to consider in the planning stage is how fast it can be. While for thief zones linked with aquifers, injection plan should be made carefully to avoid induce or promote any fractures in sealing layer, or continuous leakage would occur. ...