David O.S. Oakley’s research while affiliated with Pennsylvania State University and other places

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Publications (17)


(a) Flowchart of the unsupervised clustering-based fold detection algorithm. (b) Example showing how a grid of rays is created across a geologic map from which data are to be extracted.
Synthetic geological model used to illustrate the unsupervised learning method. (a) The geological map in the absence of topography (at approximately the mean elevation of (b)), with the axes of the two anticlines marked by dotted lines. (b) The topography of the model (with elevations in meters above the base of the model). (c) The geologic map formed by the intersection of the topography with the geologic model, with the topographic contours from (b) overlaid. (d) A cross section illustrating the two anticlines and the syncline in the model. The color scale is the same in (a), (c), and (d).
Illustration of clustering-based unsupervised fold identification using the synthetic geological map from Fig. 2. The relative unit ages are now represented in grayscale in order to show the fold identification process more clearly. (a) One of the rays used to sample the map divided into segments corresponding to the geologic units of the map. (b) All ray segments along which possible folds were identified. (c) The midpoints of the possible fold segments. (d) The midpoints after rejection based on bedding orientation to exclude fold-mimicking topography. (e) The midpoints as clustered by HDBSCAN. (f) The points to be used for finding the fold axes, which exclude points from (e) for which rays cross at a high angle to the strike of the bedding. (g) The fold axes fit to the points in (f). (h) The line segments corresponding to the midpoints in (e). (i) The fold areas identified by finding the convex hulls of the line segments in (h).
Sparse categorical cross-entropy loss from training the convolutional neural network. (a) Training and validation losses with our preferred hyperparameters. (b–f) Training losses with various alternative values for hyperparameters: the learning rate, the batch size, the number of levels of the U-Net, the number of features at the first level of the U-Net, and the activation function. In (b)–(f), the second value (the orange line) is the value used in the preferred model in (a).
The fold identification process with the convolutional neural network, illustrated using the example from Figs. 2 and 3. (a, b) The input consists of two raster images, both scaled between 0 and 1, with the first giving the geological map in terms of the relative age of the units and the second giving the elevation. (c–e) The output consists of the probabilities that each pixel belongs to each of three classes: Class 1 for the background, Class 2 for off-axis parts of the fold, and Class 3 for the fold axis. The three class probabilities sum to 1 at each pixel. (f–h) The truth is plotted with each pixel given a probability of 1 for the correct class and 0 for the other classes.

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GEOMAPLEARN 1.2: detecting structures from geological maps with machine learning – the case of geological folds
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  • Full-text available

February 2025

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108 Reads

David Oakley

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Thierry Coowar

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[...]

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Jean-Paul Callot

The increasing availability of large geological datasets and modern methods of data analysis facilitate a data science approach to geology in which inferences are drawn from geological data using automated methods based on statistics and machine learning. Such methods offer the potential for faster and less subjective interpretations of geological data than are possible from a human interpreter, but translating the understanding of a trained geologist to an algorithm is not straightforward. In this paper, we present automated workflows for detecting geological folds from map data using both unsupervised and supervised machine learning. For the unsupervised case, we use regular expression matching to identify map patterns suggestive of folds along lines crossing the map. We then use the HDBSCAN clustering algorithm to cluster these possible fold identifications into a smaller number of distinct folds. This clustering algorithm is chosen because it does not require the number of clusters to be known a priori. For the supervised learning case, we use synthetic models of folds to train a convolutional neural network to identify folds using map and topographic data. We test both methods on synthetic and real datasets, where they both prove capable of identifying folds. We also find that distinguishing folds from similar map patterns produced by topography is a major issue that must be accounted for with both methods. The unsupervised method has advantages, including the explainability of its results, and provides clearly better results in one of the two real-world test datasets, while the supervised learning method is more fully automated and likely more easily extensible to other structures. Both methods demonstrate the ability of machine learning to interpret folds on geological maps and have potential for further development targeting a wider range of structures and datasets.

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GEOMAPLEARN 1.0: Detecting geological structures from geological maps with machine learning

May 2024

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112 Reads

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1 Citation

The increasing availability of large geological datasets together with modern methods of data analysis facilitate a data science approach to geology in which inferences are drawn from geological data using automated methods based on statistics and machine learning. Such methods offer the potential for faster and less subjective interpretations of geological data than are possible from a human interpreter, but translating the understanding of a trained geologist to an algorithm is not straightforward. In this paper, we present automated workflows for detecting geological folds from map data using both unsupervised and supervised machine learning. For the unsupervised case, we use regular expression matching to identify map patterns suggestive of folds along lines crossing the map. We then use the hdbscan clustering algorithm to cluster these possible fold identifications into a smaller number of distinct folds, the number of which is not known a priori. For the supervised learning case, we use synthetic models of folds to train a convolutional neural network to identify folds using map and topographic data. We test both methods on synthetic and real datasets.



COMPARING DIRECT CARBONATE AND STANDARD GRAPHITE 14 C DETERMINATIONS OF BIOGENIC CARBONATES

January 2021

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307 Reads

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15 Citations

Radiocarbon

The direct carbonate procedure for accelerator mass spectrometry radiocarbon (AMS ¹⁴ C) dating of submilligram samples of biogenic carbonate without graphitization is becoming widely used in a variety of studies. We compare the results of 153 paired direct carbonate and standard graphite ¹⁴ C determinations on single specimens of an assortment of biogenic carbonates. A reduced major axis regression shows a strong relationship between direct carbonate and graphite percent Modern Carbon (pMC) values (m = 0.996; 95% CI [0.991–1.001]). An analysis of differences and a 95% confidence interval on pMC values reveals that there is no significant difference between direct carbonate and graphite pMC values for 76% of analyzed specimens, although variation in direct carbonate pMC is underestimated. The difference between the two methods is typically within 2 pMC, with 61% of direct carbonate pMC measurements being higher than their paired graphite counterpart. Of the 36 specimens that did yield significant differences, all but three missed the 95% significance threshold by 1.2 pMC or less. These results show that direct carbonate ¹⁴ C dating of biogenic carbonates is a cost-effective and efficient complement to standard graphite ¹⁴ C dating.


K‐Ar Dating of Fossil Seismogenic Thrusts in the Shimanto Accretionary Complex, Southwest Japan

November 2019

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110 Reads

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12 Citations

K‐Ar ages of clay‐sized mineral grains are used to determine the timing of activity on fossil seismogenic faults within the Cretaceous‐Paleogene Shimanto accretionary complex, southwest Japan. Samples were collected from three regional faults that separate hanging wall coherent rocks from footwall subduction mélange: the Goshikinohama Fault that caps the Yokonami mélange, the roof thrust of the Okitsu mélange, and the Nobeoka Thrust that caps the Hyuga mélange. The K‐Ar ages of fault rocks decrease with decreasing 2M1 illite polytype component, indicating a mixture of 1Md and 2M1 illite polytypes. Based on illite dating analysis, the extrapolated ages of the pure 2M1 illite polytype from the Goshikinohama Fault, the roof thrust of the Okitsu mélange, and the Nobeoka Thrust are 79.3 ± 5.0, 66.1 ± 8.1, and 46.7 ± 8.2 Ma, respectively, similar to the depositional age of each host rock. Lower intercepts of regression lines, which correspond to samples containing 100% authigenic illite, are calculated as 50.7 ± 1.4, 18.4 ± 1.2, and 24.4 ± 1.4 Ma, respectively. These ages are significantly younger than both the depositional ages and the timing of accretion. These results indicate that authigenic illite associated with fault slip is not related to underthrusting along the subduction interface but rather formed during out‐of‐sequence thrusting in the upper plate. Early Miocene slip along faults of the northern Shimanto belt is coincident with major tectonic events along the convergent margin, including collision with elements of the Izu‐Bonin volcanic arc‐backarc system, and opening of the Japan Sea.



Inverse modeling for possible rather than unique solutions

May 2018

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52 Reads

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5 Citations

Journal of Structural Geology

Despite the implementation of several kinematic and mechanical models for fault-related folding, and the incorporation of structural uncertainty in geological models, structural modeling is still too deterministic. The current focus is on forward modeling of a unique fit. We show the application of trishear inverse modeling, global optimization and Markov chain Monte Carlo (MCMC) methods, to a clay model of basement-involved compressional faulting, from which we know both total and incremental deformation. Global optimization and MCMC methods provide a range of possible models rather than a unique fit. Total inversions give an average of the model's deformation, while incremental inversions are more physically related to the model's evolution. Global optimization identifies the full range of possible models, while MCMC characterizes expected parameter values and their uncertainties. Structural inversions without sound geology are meaningless. A robust stratigraphy, geomorphic markers, mesoscopic structures, analogue and mechanical modeling can all greatly improve the inversions.



Uplift rates of marine terraces as a constraint on fault-propagation fold kinematics: Examples from the Hawkswood and Kate anticlines, North Canterbury, New Zealand

December 2017

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43 Reads

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7 Citations

Tectonophysics

Marine terraces on growing fault-propagation folds provide valuable insight into the relationship between fold kinematics and uplift rates, providing a means to distinguish among otherwise non-unique kinematic model solutions. Here, we investigate this relationship at two locations in North Canterbury, New Zealand: the Kate anticline and Haumuri Bluff, at the northern end of the Hawkswood anticline. At both locations, we calculate uplift rates of previously dated marine terraces, using DGPS surveys to estimate terrace inner edge elevations. We then use Markov chain Monte Carlo methods to fit fault-propagation fold kinematic models to structural geologic data, and we incorporate marine terrace uplift into the models as an additional constraint. At Haumuri Bluff, we find that marine terraces, when restored to originally horizontal surfaces, can help to eliminate certain trishear models that would fit the geologic data alone. At Kate anticline, we compare uplift rates at different structural positions and find that the spatial pattern of uplift rates is more consistent with trishear than with a parallel-fault propagation fold kink-band model. Finally, we use our model results to compute new estimates for fault slip rates (~ 1–2 m/ka at Kate anticline and 1–4 m/ka at Haumuri Bluff) and ages of the folds (~ 1 Ma), which are consistent with previous estimates for the onset of folding in this region. These results are consistent with previous work on the age of onset of folding in this region, provide revised estimates of fault slip rates necessary to understand the seismic hazard posed by these faults, and demonstrate the value of incorporating marine terraces in inverse fold kinematic models as a means to distinguish among non-unique solutions.


Slip Inversion Along Inner Fore-Arc Faults, Eastern Tohoku, Japan: Fore-Arc Fault Inversion, Tohoku, Japan

November 2017

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149 Reads

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12 Citations

The kinematics of deformation in the overriding plate of convergent margins may vary across timescales ranging from a single seismic cycle to many millions of years. In Northeast Japan, a network of active faults has accommodated contraction across the arc since the Pliocene, but several faults located along the inner forearc experienced extensional aftershocks following the 2011 Tohoku-oki earthquake, opposite that predicted from the geologic record. This observation suggests that forearc faults may be favorable for stress triggering and slip inversion, but the geometry and deformation history of these fault systems are poorly constrained. Here we document the Neogene kinematics and subsurface geometry of three prominent forearc faults in Tohoku, Japan. Geologic mapping and dating of growth strata provide evidence for a 5.6-2.2 Ma initiation of Plio-Quaternary contraction along the Oritsume, Noheji and Futaba faults, and an earlier phase of Miocene extension from 25 to 15 Ma along the Oritsume and Futaba faults associated with the opening of the Sea of Japan. Kinematic modeling indicates these faults have listric geometries, with ramps that dip ~40-65° W and sole into subhorizontal detachments at 6-10 km depth. These fault systems can experience both normal and thrust sense slip if they are mechanically weak relative to the surrounding crust. We suggest that the inversion history of Northeast Japan primed the forearc with a network of weak faults mechanically and geometrically favorable for slip inversion over geologic timescales, and in response to secular variations in stress state associated with the megathrust seismic cycle.


Citations (11)


... The observed deformation pattern could be interpreted by experts as one or more folding structures, or some faulted displaced blocks. The generation of such hypotheses is intuitive for human interpreters familiar with deformation concepts, but challenging for machines (Oakley et al. 2024). For sake of example, let the chosen hypothesis be the existence of some folds. ...

Reference:

A knowledge-driven modeling formalism for automatic structural interpretation
GEOMAPLEARN 1.0: Detecting geological structures from geological maps with machine learning

... Compared to their two-dimensional counterparts, 3D structural modelling offers superior advantages in terms of accuracy, applicability, and visualization. Oakley [150] demonstrated the use of ensemble Kalman inversion (EKI) for building threedimensional, multifault, kinematically restorable structural geologic models, by means of a workflow in which fault geometry, the distribution of slip on a fault, and the geometry of folded horizons are all modeled. EKI can recover the true parameter values in the synthetic case and produce a solution consistent with the data in the real case, as well as quantify uncertainty in both cases. ...

Structural geologic modeling and restoration using ensemble Kalman inversion

Journal of Structural Geology

... This study features predominantly mollusk shells and fewer echinoid tests. Several of the standard graphite and direct carbonate analyses were included in an earlier study published prior to the arrival of the MICADAS at NAU (Bright et al. 2021). The compilation featured here comprises pMC values ranging from approximately 99 to 0.4 (radiocarbon ages approximately 0.1 to 45.1 ka BP), based on prior AMS analysis of samples archived at NAU (Bright et al. 2021). ...

COMPARING DIRECT CARBONATE AND STANDARD GRAPHITE 14 C DETERMINATIONS OF BIOGENIC CARBONATES

Radiocarbon

... One argument against this model in mélanges from the Shimanto Belt is the kinematics of the deformation within the mélange, dominated by extension and not by shortening (Raimbourg et al., 2019). Furthermore, in the same belt, radiometric dating showed that several mélange-bounding faults were active long after underplating, and hence could not be interpreted as down-steps of the decollement (Fisher et al., 2019). The thermal record of trench sediments interlayered with basalts in the examples studied here point to an alternative pre-subduction model of formation, where the basalt-sediment lithological alternations are inherited from magmatic-sedimentary processes at the trench, with syn-subduction deformation locally affecting the architecture of such mixed lithologies. ...

K‐Ar Dating of Fossil Seismogenic Thrusts in the Shimanto Accretionary Complex, Southwest Japan

... There is a positive correlation between great earthquakes and smooth plate interfaces (Scholl et al., 2015;Lallemand et al., 2018;van Rijsingen et al., 2019), so heterogeneity in strength along large, unsegmented stretches of the interface can develop during the interseismic period independent of roughness potentially due to geochemical processes in deforming sediments. Between large ruptures, there are interseismic changes in the physical properties of the plate boundary footwall due to deformation accommodated by mass redistribution and reduction of fracture porosity (Fisher et al., 2019a;Fisher et al., 2019b). Mineral redistribution and fracturing along the interface impacts both fluid flow (by generating variations in crack porosity, permeability, and fluid pressure) and earthquake physics (by generating variations in strength). ...

Numerical models for slip on the subduction interface motivated by field observations
  • Citing Article
  • February 2019

Lithosphere

... Because cdem (and any DEM) is computationally intensive, it is not the right tool to precisely fit the geometry of a structure or to model the structure's uncertainties (Cardozo and Oakley, 2019). Kinematic models and simpler mechanical models (e.g., elastic models) are better for those applications. ...

Inverse modeling for possible rather than unique solutions
  • Citing Article
  • May 2018

Journal of Structural Geology

... Three-dimensional trishear models (Cristallini and Allmendinger, 2001;Cristallini et al., 2004;Cardozo, 2008), for instance, require specifying how the fault slip, propagation rate, and trishear angle vary along strike, and EKI would provide a way to invert for those spatially variable parameters without requiring simplistic assumptions such as a linear gradient. Trishear parameters may also change over time (Allmendinger, 1998;Allmendinger et al., 2004), but such parameters are usually held constant in inversions, or at most a single change is inverted for (Oakley et al., 2018). With EKI being suited to many-parameter models, complex variations of trishear parameters with time, as well as in space, could be inverted for. ...

Uplift rates of marine terraces as a constraint on fault-propagation fold kinematics: Examples from the Hawkswood and Kate anticlines, North Canterbury, New Zealand
  • Citing Article
  • December 2017

Tectonophysics

... ing from stress reversals during the megathrust cycle (e.g., Hasegawa et al., 2012;Regalla et al., 2017;Cortés-Aranda et al., 2022), and the kinematics observed today are the net sum of these alternating slip sense events. This hypothesis could explain why left-lateral slip sense is observed on the Utsulady Point fault in contrast to right-lateral slip sense or pure dip slip along the rest of the fault system along strike, such as the Devil's Mountain Fault (Fig. 2a; Table 1). ...

Slip Inversion Along Inner Fore-Arc Faults, Eastern Tohoku, Japan: Fore-Arc Fault Inversion, Tohoku, Japan

... These observations are indicative of significant Late Pliocene differential tectonics according to Warren (1995). In contrast, notable tectonic deformation was initiated in the Pleistocene (<2 Ma) farther southwest in coastal North Canterbury (Nicol et al. 1994;Barnes et al. 2016;Vanderleest et al. 2017), although local variations in Miocene stratigraphic thickness there suggest some earlier tectonic unrest (Jongens et al. 2012). The areas of prominent unconformity at the base of the Greta Formation could be explained by localised uplift, but in most cases does not coincide with the axes of the main uplift structures such as the Hawkswood Anticline. ...

Growth and seismic hazard of the Montserrat anticline in the North Canterbury fold and thrust belt, South Island, New Zealand
  • Citing Article
  • June 2017

Journal of Structural Geology

... Since the marine terrace mainly consists of abrasion platforms, and secondarily, when marine deposits can be recognized, they are thin (1-1.5 m) Meschis et al., 2022), I do not consider the base of these deposits as reference elevation for the modelling. The LEM approach accounts for the marine terraces' reoccupation (Merritts and Bull, 1989;Kelsey, 1990;Nalin et al., 2007;Melnick, 2016;Oakley et al., 2017;Malatesta et al., 2021;Crosetto et al., 2024) and their dependency on the time spent within the sea erosional depth (Trenhaile, 2019;Malatesta et al., 2022;Crosetto et al., 2024), as a combination of eustasy and rock uplift. In more detail, I considered variable uplift rate, both spatially and temporally, condensed in four main time steps: 350 ka, 250 ka, 150 ka, 0 ka. ...

Quaternary marine terrace chronology, North Canterbury, New Zealand, using amino acid racemization and infrared-stimulated luminescence
  • Citing Article
  • January 2017

Quaternary Research