| De-risking Carbon Capture and Sequestration with Explainable CO 2Leakage |
| Detection in Time-lapse Seismic Monitoring Images |
| Huseyin Tuna Erdinc,*1Abhinav Prakash Gahlot,*2Ziyi Yin,3 |
| Mathias Louboutin,2Felix J. Herrmann,1,2,3 |
| 1School of Electrical and Computer Engineering, Georgia Institute of Technology |
| 2School of Earth and Atmospheric Sciences, Georgia Institute of Technology |
| 3School of Computational Science and Engineering, Georgia Institute of Technology |
| {herdinc3, agahlot8, ziyi.yin, mlouboutin3, felix.herrmann }@gatech.edu, |
| Abstract |
| With the growing global deployment of carbon capture and |
| sequestration technology to combat climate change, monitor- |
| ing and detection of potential CO 2leakage through existing |
| or storage induced faults are critical to the safe and long-term |
| viability of the technology. Recent work on time-lapse seis- |
| mic monitoring of CO 2storage has shown promising results |
| in its ability to monitor the growth of the CO 2plume from |
| surface recorded seismic data. However, due to the low sen- |
| sitivity of seismic imaging to CO 2concentration, additional |
| developments are required to efficiently interpret the seis- |
| mic images for leakage. In this work, we introduce a binary |
| classification of time-lapse seismic images to delineate CO 2 |
| plumes (leakage) using state-of-the-art deep learning models. |
| Additionally, we localize the leakage region of CO 2plumes |
| by leveraging Class Activation Mapping methods. |
| Introduction |
| According to the International Energy Agency and the In- |
| ternational Panel on Climate Change report (IPCC 2018), |
| there is a need for a 50 percent reduction of greenhouse |
| gas emissions by 2050 to avoid an increase of 1.5 degrees |
| Celsius of Earth’s average temperature. This can only be |
| achieved by reduced dependence on fossil fuels, use of re- |
| newable sources of energy and large-scale global deploy- |
| ment of carbon reduction technologies such as carbon cap- |
| ture and sequestration (CCS). This technology consists of |
| collection, transportation, and injection of CO 2into an ap- |
| propriate geologic storage reservoir for extended time peri- |
| ods (tens of years). Especially, unlike other solutions, CCS |
| is considered a relatively low-cost, long-term and imminent |
| solution. However, potential CO 2leakage from the under- |
| ground reservoirs due to pre-existing or pressure-induced |
| faults poses risks (Ringrose 2020). Thus, it is necessary to |
| de-risk CCS projects by monitoring CO 2plumes in order to |
| accurately detect and predict potential leakages as early as |
| possible. |
| Time-lapse seismic monitoring has been introduced as |
| a reliable technology to monitor the CO 2dynamics in |
| the Earth’s subsurface during carbon sequestration (Lumley |
| *These authors contributed equally. |
| Copyright © 2022, Association for the Advancement of Artificial |
| Intelligence (www.aaai.org). All rights reserved.2001) and is already in use at existing storage sites (Arts |
| et al. 2008; Chadwick et al. 2010; Ringrose et al. 2013; Furre |
| et al. 2017). In essence, sequential (i.e once every 6 month- |
| s/year/...) seismic datasets, called vintages, are collected in |
| the field over an area covering the storage reservoir. Then, |
| each seismic dataset is inverted to obtain high fidelity im- |
| ages of the subsurface over time (Arts et al. 2008; Ayeni |
| and Biondi 2010; Yin, Louboutin, and Herrmann 2021). The |
| evolution of the CO 2reservoir can finally be visualized by |
| subtracting the seismic images between different points in |
| time. However, due to the inherently weak and noisy ampli- |
| tudes of the CO 2reservoir’s response in those seismic im- |
| ages, detecting the presence of potential irregularities, such |
| as in CO 2plumes, corresponding to a leakage is a challeng- |
| ing problem. To tackle this difficulty, we propose a machine |
| learning based detection method based on standard binary |
| classification. |
| Recently, numerous methods leveraging machine learn- |
| ing have been introduced for the detection of CO 2leakage |
| based on a simple artificial neural network (ANN) (Li et al. |
| 2018a), and a combination of convolutional neural networks |
| (CNN) and Long Short-Term Memory (LSTM) networks |
| (Zhou et al. 2019). While leading to accurate predictions, |
| these methods usually rely solely on the field recorded data |
| rather than the subsurface seismic images. Besides, practical |
| considerations such as repeatability (the ability to record the |
| data in the exact same way every year) hinders their appli- |
| cability to real world cases. On the other hand, as we rely |
| on visualizing the CO 2plumes in the seismic image, we |
| can take advantage of advanced seismic imaging techniques |
| designed for non-repeated seismic acquisition such as the |
| joint recovery model (JRM) (Oghenekohwo and Herrmann |
| 2017a; Wason, Oghenekohwo, and Herrmann 2017; Yin, |
| Louboutin, and Herrmann 2021). Additionally, this imag- |
| ing technique has demonstrated higher fidelity imaging than |
| sequential seismic imaging allowing for easier detection of |
| CO2leakage. |
| We will show in the following sections that we can effi- |
| ciently and accurately detect CO 2from realistic seismic im- |
| ages recovered by JRM on synthetic but representative mod- |
| els of the Earth subsurface. We demonstrate our method us- |
| ing different state-of-the-art deep learning models in a trans- |
| fer learning setting to classify CO 2plume seismic images |
|
|
| with regular (no-leakage) CO 2plume or with CO 2leakage. |
| As CO 2leakage detection needs trustworthiness, we further |
| unravel the decisions made by our models and utilize Class |
| Activation Mapping (CAM) methods (Zhou et al. 2015) to |
| identify and visualize seismic image areas crucial for model |
| classification results. We show that the CAM result accu- |
| rately focuses on the leakage portion of the CO 2plume and |
| reservoir, validating that our network detects leakage based |
| on state of the CO 2reservoir over time. |
| Our main contributions are organized as follows. First, we |
| introduce the classification models used for leakage detec- |
| tion and the CAM methods for visualizing the area of inter- |
| est in the seismic image. Second, we demonstrate the accu- |
| racy of our models and qualitatively examine the results of |
| our CAM methods on a realistic synthetic set of CO 2plume |
| images. |
| Methodology |
| In order to speed up the training process and to compensate |
| for the overfitting that may occur with modest sized datasets, |
| we rely on transfer learning (Yosinski et al. 2014) using pre- |
| trained state-of-the-art models as a starting point. In particu- |
| lar, we consider four modern architectures known to achieve |
| high accuracy on standard dataset such as ImageNet-1k |
| (Russakovsky et al. 2015). The models used are VGG (Si- |
| monyan and Zisserman 2014), ResNet (He et al. 2016), Vi- |
| sion Transformer (ViT) (Dosovitskiy et al. 2021), and Swin |
| Transformer (Swin) (Liu et al. 2021), all pre-trained on the |
| standardized ImageNet-1k dataset. |
| VGG: is a convolutional neural network (CNN) model |
| that achieved significant success in The ImageNet Large |
| Scale Visual Recognition Challenge (ILSVRC) competition |
| in 2014 (Simonyan and Zisserman 2014). VGG consists of |
| sequences of convolution and maxpool layers. In our numer- |
| ical experiments, the VGG16 variant with 16 trainable layers |
| is used. |
| ResNet: is a CNN architecture with residual connections |
| proposed to solve the vanishing gradient problem in very |
| deep networks (He et al. 2016). ResNet consists of resid- |
| ual blocks and each residual block has convolution layers |
| and shortcut connections performing identity mapping. In |
| our numerical experiments, the ResNet34 variant with 34 |
| trainable layers is used. |
| ViT: is an architecture based on transformer which is used |
| in the field of Natural Language Processing (NLP) (Vaswani |
| et al. 2017). Internally, the transformer learns a relationship |
| between input token pairs, and uses 16x16 patches of im- |
| ages as input tokens (Dosovitskiy et al. 2021). In our numer- |
| ical experiments, the tiny ViT variant is used allowing lower |
| memory and computational imprint. |
| Swin: is a special type of ViT that represents image |
| patches hierarchically by starting from small-sized patches |
| and gradually increasing the size through merging to achieve |
| scale-invariance property (Liu et al. 2021). Compared to |
| ViT, Swin transformer has superior (linear) computational |
| efficiency by computing self-attention within certain patches |
| of a window. In our numerical experiments, tiny Swin vari- |
| ant is used allowing lower memory and computational im- |
| print.Hyperparameters VGG16 ResNet34 ViT Swin |
| Batch Size 8 8 8 8 |
| Learning Rate 5x10−56x10−34x10−310−3 |
| Exp Decay Rate( γ)0.95 0 .92 0 .98 0 .98 |
| Table 1: Training hyperparameters for the four models. All models |
| were trained with the same number of epochs and optimizer. |
| CAM Methods |
| Deep learning models for classification are notoriously |
| treated as “black boxes” as they do not expose their inter- |
| nal knowledge or operations to its users and do not pro- |
| vide interpretable results. To solve this problem, CAM based |
| saliency maps (heatmaps) were introduced to highlight the |
| most class-discriminative regions of to-be-classified input |
| images (Zhou et al. 2015). Since CO 2leakage requires high |
| fidelity, transparent and interpretable models, we use CAM |
| to further make our model results explainable and highlight |
| the regions of the seismic image that are most relevant to |
| the classification results. In our study, we considered two |
| CAM methods. First, Grad-CAM (Selvaraju et al. 2019), a |
| gradient-based CAM method considered as the state-of-the- |
| art in terms of explainability of neural networks for classi- |
| fication. This CAM method extracts gradients from a spe- |
| cific layer of a model and computes the weighted aver- |
| age of that specific layer’s activations. Second, we consider |
| Score-CAM (Wang et al. 2020), a perturbation based CAM |
| method. Score-CAM also computes the weighted average of |
| activations of a user-specified layer but, unlike Grad-CAM, |
| Score-CAM relies on propagating (forward pass through the |
| network) a masked input image where the mask is obtained |
| via upsampling the activations of the user-defined layer. |
| This CAM method provides high accuracy and interpretable |
| heatmaps and alleviates potential noise and spread present |
| in the gradient used for the Grad-CAM heatmaps. |
| Numerical Case Study |
| To generate the training dataset of CO 2plume evolution, we |
| used five 2D vertical slices extracted from the 3D Compass |
| velocity model (E. Jones et al. 2012) shown in Fig. 1(a). This |
| model is a synthetic but realistic model representative of the |
| complex geology of the southeast of the North Sea. The di- |
| mension of each model (slice) used in our work is 2131 X |
| 4062 m2. We used FwiFlow (Li et al. 2020), to simulate the |
| CO2flow dynamics and JUDI (Witte et al. 2019) to model |
| the seismic data and compute the seismic images of the sub- |
| surface. |
| Time-lapse reservoir and seismic simulation |
| We consider a realistic two well setting with a fixed injection |
| well injecting CO 2and a production well extracting brine |
| from subsurface storage reservoir. Injection of supercriti- |
| cal CO 2into saline aquifers is an example of multi-phase |
| flow in porous media. While we understand more compli- |
| cated geothermal, geochemical and geomechanical process |
| may eventually be considered to model the CO 2dynamics, |
| we follow the two-phase immiscible incompressible flow |
|
|
| Figure 1: Workflow for CO 2Leakage Monitoring |
| physics, which in its leading order describes the process |
| of supercritical CO 2displacing brine in the pore space of |
| the rock. The system is governed by conservation of mass |
| and Darcy’s law. We refer to the existing literature (Li et al. |
| 2020; Wen, Tang, and Benson 2021) (Li et al. 2020) for more |
| details about this physical system. |
| Using empirical relation and the Kozeny-Carman equa- |
| tion(Costa 2006), the acoustic properties (velocity and den- |
| sity) from the Compass model were converted into perme- |
| ability and porosity (Fig. 1(b)) to simulate the multi-phase |
| flow (CO 2and brine in porous media) in the reservoir. We |
| used FwiFlow.jl (Li et al. 2020) to solve multi-phase flow |
| equations based on the finite volume method. We simulated |
| the CO 2flow for a duration varying between 7to12years |
| (Fig. 1(c)). The reservoir was initially filled with saline wa- |
| ter and we injected compressed CO 2at the rate of 1MT/- |
| day into the reservoir for all simulations. In order to mimic |
| CO2leakage, we then created a fracture at a random location |
| along the top seal of the reservoir when the pressure induced |
| by the CO 2injection reaches a threshold of 15MPa. We |
| then converted back these simulated CO 2saturation snap- |
| shots over time into wave properties with the patchy sat- |
| uration model (Avseth, Mukerji, and Mavko 2010) to ob- |
| tain time-lapse subsurface models (Fig. 1(d)). We used this |
| model because at higher pressure condition, local fluid flow |
| slows down resulting in an acoustic velocity trend which fol- |
| lows patchy saturation (Li et al. 2018b). |
| Based on these models, we then simulated the baseline |
| seismic survey corresponding to the initial stage (before the |
| injection of CO 2) and the monitor seismic survey corre- |
| sponding to the final stage at the end of the reservoir sim- |
| ulation (Fig. 1(e)). As mentioned in the introduction, it is |
| very difficult to exactly replicate the baseline and moni- |
| tor surveys. In order to mimic the realistic scenario in the |
| field, the baseline and monitor datasets were simulated us- |
| ing different acquisition geometries (position of the mea- |
| surements). Finally, we recovered the time-lapse seismic im- |
| ages using JRM (Oghenekohwo and Herrmann 2017b; Wa- |
| son, Oghenekohwo, and Herrmann 2017; Yin, Louboutin, |
| and Herrmann 2021) to alleviate potential noise and inac- |
| curacies in the seismic images in the case of non-replicatedtime-lapse surveys. These recovered images along with the |
| label (leakage/no-leakage) serve as the input to the classi- |
| fication network. We generated a total of 1000 leakage and |
| 870no-leakage scenarios, and computed the baseline, moni- |
| tor and difference images with the JRM method in each case. |
| Training |
| The seismic difference images (difference between baseline |
| and monitor recovery results) were converted to 224x224 |
| gray-scale images with bi-linear interpolation and trans- |
| formed into three channel images where each channel is a |
| copy of the actual gray-scale image. For the classification, |
| the image dataset was randomly split into an 80% train- |
| ing set and 20% test set. The training set was then further |
| divided into two parts, one for model parameter updating |
| (training) and another for hyperparameter tuning (valida- |
| tion). The training hyperparameters from this second part |
| are summarized in Table 1. For training, we replaced the last |
| fully connected layers (classification layers) of each model |
| with a new fully connected layer. We then trained the net- |
| work (Fig. 1(g)) in two steps. First, we only trained the |
| last classification layer, by freezing all the other layers, for |
| 100 epochs. Since most of the layers are fixed and do not |
| need gradient updates, this first stage is extremely cheap and |
| computationally efficient. Second, we further trained the full |
| model for an additional 30 epochs to allow fine-tuning of all |
| layers for our specific classification task. Following standard |
| practices in classification settings, we used a binary cross- |
| entropy loss function and the Adam optimizer (Kingma and |
| Ba 2015) for all models. Finally, after the training (Fig. 1 |
| (h)), we implemented the CAM based methods (Fig. 1 (i)). |
| We used the last convolutional layer activations for the CNN |
| models, and the activations preceding the last attention layer |
| for the transformer-based models. |
| Analysis |
| We show on Table 2, different performance metrics on our |
| testing dataset, after training our four networks, with means |
| and confidence intervals after 15 different runs. In detail, we |
| show standard metrics such as accuracy, precision, and re- |
| call. Additionally, we also show F1 score (Chinchor 1992), |
|
|
| Model Accuracy Precision Recall F1 ROC-AUC |
| VGG16 0.920 ±0.089 0.941 ±0.133 0.921 ±0.081 0.927 ±0.075 0.920 ±0.076 |
| ResNet34 0.948±0.020 0.982 ±0.028 0.928 ±0.044 0.948 ±0.040 0.967 ±0.019 |
| ViT 0.857 ±0.018 0.910 ±0.102 0.820 ±0.098 0.859 ±0.036 0.923 ±0.023 |
| Swin 0.836 ±0.036 0.881 ±0.108 0.818 ±0.078 0.841 ±0.076 0.909 ±0.007 |
| Table 2: Comparison of performance (for precision and recall, positives represent leakage whereas negatives are no leakage) on the test |
| dataset for our four neural networks. The highest performance for each metric is highlighted in bold. |
| Figure 2: Grad-CAM and Score-CAM saliency maps overlayed on the corresponding input seismic image containing a CO 2plume from |
| leakage. The CO 2plume can be seen on the seismic image as the high amplitude event at 1.3km depth and 1.8km in X. |
| that combine recall and accuracy, and area under curve of re- |
| ceiver operating characteristic (ROC-AUC) (Bradley 1997) |
| to further evaluate the classification performance of mod- |
| els. We observe in Table 2 that the CNN models outperform |
| the transformer variants in all the metrics by a significant |
| margin and that ResNet34 achieves the best performance in |
| all the measures of evaluation. This result is consistent with |
| the literature, hinting that despite being very accurate on a |
| specific task, transformers do not generalize well with our |
| modest sized dataset (Dosovitskiy et al. 2021). Additionally, |
| we observe that all models lead to better precision compared |
| to recall (more false negatives than false positives). This dis- |
| crepancy can be attributed to the fact that certain leakage |
| images have very small CO 2leakage areas (up to a single |
| pixel) in the seismic images and are consequently very diffi- |
| cult to detect. |
| Second, we show in Fig. 2 the CAM results of each model |
| on a single seismic image from our test dataset. The high |
| amplitude area shows the regions of the seismic images |
| that are most important to the classifier. As expected, those |
| heatmaps provide an explainable representation of the clas- |
| sification as the high amplitudes align with the CO 2leakage |
| part of the seismic image. We observe that for the CNN, the |
| saliency maps are well centered on the CO 2leakage por- |
| tion despite being very coarse. Because of this coarseness, |
| both Grad-CAM and score-CAM provide similar results. On |
| the other hand, transformer-based networks lead to more fo-cused saliency maps that target the location of the CO 2leak- |
| age extremely well. We observe in that case, the Score-CAM |
| leads to reduction of aliases and noise compared to the Grad- |
| CAM results. This can be linked to the potential presence of |
| noise in the gradients of the transformers as the networks are |
| very deep (Wang et al. 2020). |
| Conclusion |
| We have introduced an interpretable deep-learning method |
| for CO 2leakage detection with very high accuracy on a |
| synthetic but realistic model of a CO 2sequestration reser- |
| voir. First, we showed through four state-of-the-art models |
| that we can detect potential CO 2leakage from the recov- |
| ered time-lapse seismic images. Second, we demonstrated |
| that CAM provides an interpretable and accurate visual- |
| ization of the CO 2plume in case of leakage. Addition- |
| ally, we showed that transformer-based models (ViT, Swin) |
| led to more focused CAM and that Score-CAM provided |
| cleaner and therefore more explainable heatmaps. On the |
| other hand, we found that standard CNNs led to better classi- |
| fication results and therefore better leakage detection. In par- |
| ticular, ResNet model performed best and achieved a very |
| high score above 90% in every evaluation metric. Future |
| work will focus on improving the classification network to |
| achieve higher accuracy in leakage detection and on refining |
| the heatmaps for better explainability. |
|
|
| Acknowledgments |
| This research was carried out with the support of Georgia |
| Research Alliance and partners of the ML4Seismic Center. |
| The authors thank Philipp A. Witte at Microsoft for the con- |
| structive discussion. |
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