Stochastic Inversion of Gravity Data in Fault-controlled Geothermal Systems

Stochastic Inversion of Gravity Data in Fault-controlled Geothermal Systems

Author: Noah Daniel Athens

Publisher:

Published: 2021

Total Pages:

ISBN-13:

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Development of new fault-controlled geothermal systems is stymied by high degrees of geologic uncertainty and the expense of drilling exploration wells. These systems, which rely on the circulation of fluids along normal faults, are often hidden by sedimentary overburden, the presence of a cold-water aquifer, or mineralization of fluid pathways. While exploration studies typically focus on data acquisition and geologic interpretation to predict locations with thermal fluids and high permeability, uncertainties in the geological modeling process are often neglected leading to an undercounting of development risk. This thesis addresses this deficit by providing practical methods to quantify uncertainty in the exploration stage for geothermal resources. Temperature wells in extensional geothermal basins show a staggering variability of geothermal gradient values, contributing to large development risk associated with well placement. In Chapter 1, a comprehensive Bayesian framework is proposed for predicting subsurface temperature in a geothermal basin given large uncertainties on geologic attributes such as the permeability field, basin geometry, and the presence of intra-basin faults. Using a synthetic case study problem based on the Dixie Valley geothermal field in central Nevada, the proposed method is applied to predict temperature in the basin constrained to a temperature well. Sensitivity analysis on prediction variables show that the bulk permeability and basal heat flux are the most important parameters for controlling the geothermal gradient at a proposed well location. Chapter 2 focuses on how to specify uncertainty of faults and basin geometry in a prior model constrained to geophysical data, an important challenge to properly implement the Bayesian framework proposed in Chapter 1. Using gravity data as an example geophysical method, 2D stochastic inversion is combined with kinematic structural models to directly incorporate structural uncertainty into the inversion process. The sampling approach uses Monte Carlo simulation to generate geologically realistic model realizations and the Gradual Deformation Method to further refine models to match observed data. The approach is first validated on a synthetic example before applying the method to field-observed gravity data from Dixie Valley, Nevada. Results of the inversion compare favorably with a previously published forward model but provide fault probability and density statistics derived from the ensemble of posterior models to quantify model uncertainty. Chapter 3 investigates the impact of data uncertainty on gravity inversion, which is often overlooked in conventional gravity modeling approaches that rely on a single interpolated gravity field. To address data uncertainty due to irregularly spaced gravity measurements, realizations of the gravity field in Dixie Valley are generated by geostatistical simulation and independently inverted to show how inversion results are affected by sparse data sampling and interpolation. Inversion is performed using a pseudo 3D approach in which subparallel profiles are inverted using the 2D inversion approach presented in Chapter 2, and model attributes are interpolated in depth using geostatistical co-simulation. To encourage continuity of structural features between neighboring profiles, model parameters are sequentially coupled during inversion. The results document a marked impact of both data and model uncertainty on depth-to-basement and distance-to-fault maps.


Exploratory Potential Methods in Geothermal Power Generation

Exploratory Potential Methods in Geothermal Power Generation

Author: Willi Freeden

Publisher: Springer Nature

Published: 2024

Total Pages: 224

ISBN-13: 3031544129

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The book provides the geoscientific context, that arises in gravimetric/magnetometric exploration. It essentially uses mathematics as a key technology for modeling issues on the basis of analysis and interpretation according to dense and precise gravitational/magnetic measurements. It is dedicated to surface and deep geology with potential data primarily of terrestrial origin. The book spans the interdisciplinary arc from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back again. It presents the recently published pioneering and groundbreaking multiscale mollifier methodologies realizing the bridging transfer from gravitational/magnetic measurements to approximative/numerical mollifier wavelet decorrelations with novel geologic prospects and layer-structure determination as outcome. Using the specific example of the German Saarland region, new important fields of application, especially for areas with mining-related cavities, will be opened up and subjected to an in-depth geologic detection.


Quantifying Geological Uncertainty and Optimizing Technoeconomic Decisions for Geothermal Reservoirs

Quantifying Geological Uncertainty and Optimizing Technoeconomic Decisions for Geothermal Reservoirs

Author: Ahinoam Pollack

Publisher:

Published: 2020

Total Pages:

ISBN-13:

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Globally, 25% percent of greenhouse gas emissions result from electricity generation that is powered by burning fossil fuels. To mitigate climate change due to these emissions, we must increase the electricity portion generated by low-carbon resources, such as geothermal energy. One of the major barriers for geothermal development is financial risk due to geological uncertainty. Production from a geothermal well highly depends on the unknown location of subsurface geological structures, such as faults. Faults are the most important part of geothermal systems because they host the hydrothermal fluids. In geothermal systems, cold rain-water seeps to hot areas in the subsurface and heats up. This hydrothermal fluid then upwells through subsurface faults towards the surface. Geothermal energy developers need to find these faults to: drill wells to intersect these faults, pump out the hot pressurized water and use the water to turn turbines and generate electricity. Yet, characterizing the structure of faults carrying hydrothermal fluids is extremely difficult and uncertain. Traditionally, geoscientists assess the subsurface structure by collecting many different datasets, interpreting the datasets manually, and creating a single model of fault locations. This method, however, is often inaccurate and does not provide any information about geological uncertainty and ensuing financial risk. In this work, we show that geological uncertainty has been a major challenge for developing geothermal systems, specifically enhanced geothermal systems. Using a synthetic case study, we demonstrate that information about geological uncertainty can influence the process of making decisions regarding reservoir management. we then describe a method for generating geologically realistic structural models of geothermal reservoirs that match observed data and apply this stochastic inversion method on real data from the Patua Geothermal Field in Nevada. To conclude, we provide a case study of how geological uncertainty quantified at Patua Geothermal Field can be used to inform the choice of reservoir development actions.


Functional and Stochastic Modelling of Satellite Gravity Data

Functional and Stochastic Modelling of Satellite Gravity Data

Author: Jasper van Loon

Publisher:

Published: 2008

Total Pages: 252

ISBN-13:

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Contents 1. Introduction 1 2. Estimation of the Earth's gravity field 9 3. Augmentation of the functional model 35 4. Stochastic model validation 49 5. Monte Carlo implementation 83 6. Outlier detection and robust estimation 97 7. Application 1: CHAMP satellite gravity data 115 8. Application 2: Joint inversion of global GPS time-series with GRACE gravity models 141 9. Application 3: Temporal aliasing of hydrological signals in a simulated GRACE recovery 165 10. Application 4: The computation of a height reference surface in Switzerland 177 11. Conclusions and recommendations 191 References 197 A. Series expansion into spherical harmonics 217 B. Matrix algebra and matrix analysis 219 C. Some standard distributions 221 Summary 223 Samenvatting 227 Curriculum Vitae 231


Structural Controls of the Geothermal System at Gerlach, Washoe County, Nevada

Structural Controls of the Geothermal System at Gerlach, Washoe County, Nevada

Author: Lyndsay Alyss Hazelwood

Publisher:

Published: 2014

Total Pages: 86

ISBN-13:

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Detailed geologic mapping, spring and two-meter temperature data, and gravity and magnetic data constrain the structural controls of the high-temperature (>175°C) geothermal system at Gerlach. The system lies along the termination of a major normal fault at the southern end of the Granite Range in the southern Black Rock Desert, a known favorable setting for geothermal activity. Mapping of Quaternary deposits documents Holocene movement on the north-northeast-striking, east-dipping Gerlach fault. Dominant orientations of geothermal veins in exposed fossil geothermal systems parallel this active, terminating range-front fault, suggesting that it does provide a major control on the current geothermal system. Locally, there are two areas of geothermal upwelling with separate sets of structural controls. The two areas are expressed by outflow as two sets of springs, Great Boiling Springs and Mud Springs, as well as by separate altered bedrock fossil systems above the springs. The areas are topographically distinct (neither could represent outflow from the other), are separated by relatively lower shallow temperature measurements, and are associated with different orientations of the gravity gradient. Prominent northwest-striking fractures provide areas of enhanced permeability and parallel the secondary set of veins in the altered bedrock uphill of Great Boiling Springs. These northwest-striking veins are not observed in the area above Mud Springs, but there is an east-northeast-striking set that is not present above Great Boiling Springs. The presence of east-northeast-striking structures is supported in the gravity data. These structures could represent an ever broader-scale structural connection between the southern termination of the Gerlach fault and the northern termination of the Fox Range fault to the south.


Gravity Interpretation

Gravity Interpretation

Author: Wolfgang Jacoby

Publisher: Springer Science & Business Media

Published: 2009-02-01

Total Pages: 413

ISBN-13: 3540853294

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Gravity interpretation involves inversion of data into models, but it is more. Gravity interpretation is used in a “holistic” sense going beyond “inversion”. Inversion is like optimization within certain a priori assumptions, i.e., all anticipated models lie in a limited domain of the a priori errors. No source should exist outside the anticipated model volume, but that is never literally true. Interpretation goes beyond by taking “outside” possibilities into account in the widest sense. Any neglected possibility carries the danger of seriously affecting the interpretation. Gravity interpretation pertains to wider questions such as the shape of the Earth, the nature of the continental and oceanic crust, isostasy, forces and stresses, geol- ical structure, nding useful resources, climate change, etc. Interpretation is often used synonymously with modelling and inversion of observations toward models. Interpretation places the inversion results into the wider geological or economic context and into the framework of science and humanity. Models play a central role in science. They are images of phenomena of the physical world, for example, scale images or metaphors, enabling the human mind to describe observations and re- tionships by abstract mathematical means. Models served orientation and survival in a complex, partly invisible physical and social environment.