CN112130200A - Fault identification method based on grad-CAM attention guidance - Google Patents

Fault identification method based on grad-CAM attention guidance Download PDF

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CN112130200A
CN112130200A CN202011005843.2A CN202011005843A CN112130200A CN 112130200 A CN112130200 A CN 112130200A CN 202011005843 A CN202011005843 A CN 202011005843A CN 112130200 A CN112130200 A CN 112130200A
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姚兴苗
李岱
周成
胡光岷
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Abstract

The invention discloses a fault identification method based on grad-CAM attention guidance, which comprises the following steps: s1, obtaining an attention map of the convolutional neural network through the grad-CAM; s2, adding a cross entropy loss function of the attention diagram and the attention diagram marked by a geoscience expert into the objective function of the convolutional neural network to obtain a new objective function of the convolutional neural network; s3, training the fault recognition model by using the objective function obtained in the step S2. According to the invention, on the basis of a typical deep learning framework, an attention guide mechanism is introduced, the attention of a network to a fault and adjacent pixels of the fault can be effectively increased, effective guide for fault classification judgment of a neural network can be realized, the fracture condition of a fault identification result can be effectively improved, and the identification result with better continuity is obtained.

Description

Fault identification method based on grad-CAM attention guidance
Technical Field
The invention belongs to the technical field of seismic data identification, and particularly relates to a fault identification method based on grad-CAM attention guidance.
Background
Seismic data interpretation is an important step in the work of oil and gas exploration, while the identification of faults is an important component of seismic data interpretation. The fault is a structure with obvious relative displacement of the rock blocks on two sides of the fracture surface when the crust is fractured under stress. Faults break the continuity of the formation. The properties, the breaking and tightening degrees of the fault, the contact relationship between lithological combinations on two sides of the fault surface and the like have close relations to oil and gas migration, aggregation and damage. The same fault, with different roles in deep and shallow parts; in the course of historical development, it is also possible to play two opposite roles of blocking or destroying in different periods. The fault plays an important control role in movement and accumulation of oil and gas, so the fault identification method has high practical value.
Fault identification is one of the most important tasks in seismic data interpretation, as faults play an important role in controlling the movement and accumulation of hydrocarbons. Because geoscience data is very large, methods for automatically interpreting faults have been studied in the industry. Faults are one of seismic attributes, and common attributes include coherence, variance, chaos, and the like. Relatively speaking, the method has high use and popularization rate and good identification effect, and the stable and mature algorithm is the attribute of the coherent body, which mainly uses the amplitude discontinuity between adjacent tracks to highlight the fault. The idea of coherent body implementation is to estimate the waveform similarity in the inline and crossline directions. Generally speaking, the coherence characteristics of coherent bodies will exhibit differences in coherence between the faulted seismic trace waveforms, especially where faults running parallel to the earth are more pronounced in coherence properties.
At present, the fault interpretation methods mainly include: (1) fault identification based on a seismic attribute method; (2) fault identification based on image analysis; (3) fault identification based on deep learning. The effectiveness of fault identification is often empirically evaluated by geological experts. The fault on the seismic section is observed and can be divided into a large fault, a medium fault and a small fault according to the size of the fault. Large faults are mostly fracture zones formed by a group of faults with similar properties, and the fracture zones control the construction direction of main faults. Generally, the fracture has a certain fracture thickness, the fault spreading direction is not greatly changed, and the adjacent fault zone is often accompanied by strong anticline and syncline of folds and fracture branches. The plane of the interrupted layer extends generally farther and runs generally parallel or oblique to the direction of the structure. The small fault is mostly a fault crack, the fracture direction is uncertain, and the plane transversely extends not far. Besides the observation of whether the fault distribution and the form accord with the geological rule, the fault identification effect is judged, and the detailed part of the fault, such as whether the fault edge has a large amount of burrs, the noise resistance of the slice background, the continuity in the fault extending direction and the like, is also considered.
Deep learning has been used successfully in computer vision, natural language processing, and other fields. The development of the deep learning technology is combined with the characteristic of huge volume of seismic data, so that a new method is provided for fault identification. An advantage of the deep learning approach is that the neural network model has the ability to generate higher order functions to fit the model. The neural network can automatically extract fault features under supervised training, the trouble of manually selecting the fault features is avoided, and the complexity of the whole fault identification process is greatly reduced. On the other hand, a good deep learning model should have good generalization capability, when the neural network model learns the fault morphological characteristics and fault distribution rules behind a large amount of seismic data, good fault recognition effect can be given even if the seismic data of other work areas are input, and the deep neural network model has excellent effect in the seismic interpretation neighborhood and has infinite potential. However, a large number of parameters exist in the end-to-end 'black box' model of deep learning, and people can hardly understand what influence the hidden layer, the neuron, the activation function and other key parts in the model can have on the final learning result. Current methods of identifying faults using deep learning may produce significant fractures when predicting partial fault samples. The key pixels of the neural network for fault classification may have some deviation, which is not in accordance with the objective knowledge of human beings.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provide a fault identification method based on grad-CAM attention guidance, which introduces an attention guidance mechanism on the basis of a typical deep learning framework, can effectively increase the attention of a network to a fault and adjacent pixels thereof, can realize effective guidance for carrying out fault classification judgment on a neural network, can effectively improve the fracture condition of a fault identification result and obtains a better continuous identification result.
The purpose of the invention is realized by the following technical scheme: a fault identification method based on grad-CAM attention guidance comprises the following steps:
s1, inputting the seismic data marked with the faults as labels and the seismic data not marked with the faults as training sets into a convolutional neural network for training;
s2, obtaining an attention map of the convolutional neural network through the grad-CAM;
s3, adding a cross entropy loss function of the attention diagram and the attention diagram marked by a geoscience expert into the objective function of the convolutional neural network to obtain a new objective function of the convolutional neural network;
s4, training the fault recognition model by using the objective function obtained in the step S3.
Furthermore, the convolutional neural network sequentially comprises two convolutional layers, a pooling layer, three convolutional layers and two full-connection layers.
Furthermore, the attention map is obtained by assuming that the k-th characteristic map output by the last convolutional layer is Ak，
Figure BDA0002695862830000021
Showing a characteristic diagram AkPoint (i, j) above; defining the weight of the kth feature map to the class c as
Figure BDA0002695862830000022
Figure BDA0002695862830000023
Wherein Z represents the number of pixels in the kth feature map; scA classification score representing class c;
the attention map is calculated by:
Figure BDA0002695862830000031
n represents the total number of signatures.
Further, the cross entropy loss function of the attention map and the geo-expert labeled attention map is:
Figure BDA0002695862830000032
wherein q isiFor indicating whether or not to use the attention mechanism for point (i, j), if so, qi1, otherwise qi0; n represents the total number of points to be classified,
Figure BDA0002695862830000033
an attention map representing points (i, j) of a geo expert mark,
Figure BDA0002695862830000034
an attention map representing the (i, j) points generated by the grad-CAM;
the new objective function is obtained as:
Figure BDA0002695862830000035
wherein the content of the first and second substances,
Figure BDA0002695862830000036
the original objective function of the convolutional neural network is beta, and the beta is a hyper-parameter defined by a user.
The invention has the beneficial effects that: according to the invention, on the basis of a typical deep learning framework, an attention guide mechanism is introduced, the attention of a network to a fault and adjacent pixels of the fault can be effectively increased, effective guide for fault classification judgment of a neural network can be realized, the fracture condition of a fault identification result can be effectively improved, and the identification result with better continuity is obtained. The fault identification method based on the grad-CAM attention guidance provided by the invention introduces the important experience of geological experts on fault identification, realizes the explanation of the convolutional neural network identification fault, effectively guides the attention of the neural network to a key area, finally obtains a fault identification result with better continuity, and lays a foundation for subsequent work.
Drawings
FIG. 1 is a flow chart of a method of fault identification based on grad-CAM attention-directed according to the present invention;
FIG. 2 is a schematic diagram of the structure of a convolutional neural network of the present invention;
FIG. 3 is a 401 x 101 two-dimensional seismic data image;
FIG. 4 is a graph of the results of two-dimensional seismic data identification 401 x 101 using a conventional convolutional network;
FIG. 5 is a seismic recognition image and an attention map thereof;
fig. 6 is a diagram of the result of two-dimensional image recognition using the method of the present invention when β is 10 and β is 100, respectively;
figure 7 is a graph of the results of identifying three-dimensional seismic data containing faults 401 x 101 using the method of the invention.
Detailed Description
Prior art relating to the invention
(1) Convolutional Neural Network (CNN)
A convolutional neural network is a neural network that is used to process data having a grid-like structure. Such as time series data (which may be considered as a one-dimensional grid formed by regular sampling on a time axis, such as text speech) and image data (which may be considered as a two-dimensional grid of pixels). Convolutional networks are excellent in many application fields such as computer vision and natural language processing. Convolutional neural networks use the mathematical operation of convolution (convolution). Convolution is a special linear operation. The convolution network refers to a neural network in which at least one layer in the network uses convolution operation to replace general matrix multiplication operation. Typically, a convolutional network also contains a pooling layer.
In the two-dimensional image data, the convolution operation specifically includes the following steps:
and starting sliding on the upper left corner of the image by utilizing the convolution kernel, multiplying the gray value of the pixel on the image by the corresponding numerical value on the convolution kernel, then adding all multiplied values to obtain the gray value of the pixel on the image corresponding to the convolution result, and obtaining the final result after sliding all pixels.
The image pooling operation comprises the following specific steps:
similar to the convolution operation, the sliding is started from the upper left corner of the image, within a window with a specified size, a value is obtained according to different types of pooling (such as maximum value, average value) and is used as a gray value at a corresponding position of the image of the pooling result, and the final result is obtained after all pixels are processed by the sliding window.
(2) Class activation mapping CAM
The class activation mapping CAM is able to locate areas in the image where the convolutional neural network plays an important role in its classification. The class activation map generates a thermodynamic map that is superimposed on the original image, and it can be seen that the parts that play an important role in image classification. The CAM algorithm mainly uses the Global Average Pooling (GAP) layer proposed in NIN. In convolutional neural networks, convolutional layers of pooling are always followed by one or n fully-connected layers, and finally passed through a classifier and sorted with softmax. The convolutional neural network is characterized in that parameters of a full connection layer are excessive, so that the model per se becomes very large. And the GAP layer performs mean pooling on all the feature maps of the last convolution layer, each feature map forms a feature value, and the feature values form a final feature vector, so that the parameters of the network are greatly reduced, and the actual class meaning of each feature map can be directly given. The CAM is realized on the basis of classifying GAP, the output of GAP layer is connected with a full-connection layer to realize classification, and the weight of each full-connection classifier of a certain class is multiplied by the corresponding original feature graph and added to obtain the CAM result. Intuitively, the feature map with a larger average feature value has a larger effect on obtaining the corresponding classification result.
Let a convolutional neural network have n characteristic maps in the last layer, and mark A1,A2,…AnIn the classification layer, one neuron has n weights, each neuron corresponds to one class, and the weight of the ith neuron is set as w1 i,w2 i,…wn iCAM of class c (denoted as M)c) Comprises the following steps:
Figure BDA0002695862830000041
analysis of why the computed CAM can then derive the category-related regions. The above symbols are used along with the notation fi(x, y) represents the pixel value of the ith feature map at position (x, y), then the GAP output of the feature map is:
Figure BDA0002695862830000051
where Z represents the number of feature map pixels. Class c classification score:
Figure BDA0002695862830000052
it can be seen that the score for class c is equal to the sum of all the pixels of its CAM, from which it can be seen that CAM map McThe larger the middle pixel value, the larger the influence on the result of classification.
(3)grad-CAM
The CAM generated attention tries to explain the neural network well, but the CAM requires the structure of the original model to be modified, and the existing model needs to be retrained when the CAM is used, so that the use scene of the model is greatly limited. The limitations of the CAM algorithm are very large if the model is already online or trained at a very high cost. Thus, grad-CAM has been proposed to solve this problem.
The basic idea of the grad-CAM is consistent with that of the CAM, and each piece of the card is required to be obtainedAnd finally, obtaining the weighted sum of the weights corresponding to the classification by the characteristic graph. The main difference between the grad-CAM and the CAM is that the weight w is determinedi cThe process of (1). CAM gets weights by replacing the fully-connected layer with the GAP layer, retraining, and grad-CAM explores a path to compute weights with a global average of gradients. In fact, the grad-CAM is equivalent to the weights computed by the CAM, through rigorous mathematical derivations. Defining the weight of the kth characteristic graph in the grad-CAM to the class c as
Figure BDA0002695862830000053
Can be calculated by the following formula:
Figure BDA0002695862830000054
after the weight corresponding to each feature map is obtained, the attention map can be calculated by the formula (1).
Grad-CAM is a generalization of CAM, as briefly demonstrated below.
Suppose that the Kth feature map of the final convolutional layer output is Ak,Aij kThe (i, j) position of the feature map is shown. CAM requires calculation of GAP values:
Figure BDA0002695862830000061
the CAM calculates the final classification score from the following equation:
Figure BDA0002695862830000062
the gradient of the classification score to the feature map is found:
Figure BDA0002695862830000063
(5) formula (I) isij kPartial derivatives of (A) having
Figure BDA0002695862830000064
Carry over (7) to get:
Figure BDA0002695862830000065
the composite material is prepared from (6),
Figure BDA0002695862830000066
therefore, there are:
Figure BDA0002695862830000067
(9) both sides sum all pixels:
Figure BDA0002695862830000068
Figure BDA0002695862830000069
Figure BDA00026958628300000610
the invention provides a convolutional neural network fault identification method based on grad-CAM attention guidance. The method adopts a grad-CAM method to deeply deepen a class activation diagram of a neural network, and can explain the obtained classification result basis. And combining regular terms marked by geological experts and adding the original loss function of the neural network as a target function of the convolutional neural network, so that the problem of fault identification result fracture caused by the fact that all pixels in geological data play equal roles in the convolutional neural network is solved, and the continuity of the fault identification result is improved. The technical scheme of the invention is further explained by combining the drawings and the specific embodiment.
As shown in FIG. 1, the fault identification method based on the grad-CAM attention guidance of the invention comprises the following steps:
s1, inputting the seismic data marked with the faults as labels and the seismic data not marked with the faults as training sets into a convolutional neural network for training;
s2, obtaining an attention map of the convolutional neural network through the grad-CAM;
the present invention is based on a convolutional neural network with a simpler structure, which comprises two convolutional layers, a pooling layer, three convolutional layers and two fully-connected layers in sequence from the input, as shown in fig. 2. In this embodiment, a convolutional neural network is used to identify 401 × 101 two-dimensional seismic data shown in fig. 3, and the obtained identification result is shown in fig. 4.
For faults, the geological body surfaces staggered on two sides of the faults are generally considered to play a guiding role when the faults are identified manually, however, the identification of a neural network can have deviation. As shown in fig. 5, the attention map derived from the fact that the center point of fig. 5(a) is determined as a fault and the type of the point is identified as a fault is (b), and it can be seen that the position having a large effect on the determination of the point as a fault is located at the upper left of the point, which is inconsistent with our visual understanding, and thus, the model obtained by the neural network training has certain limitations. Therefore, the invention combines the fault label of a geological expert with the Grad-CAM attention map, provides a method for guiding the attention of the neural network, modifies the conventional objective function of the neural network, and adds a cross entropy loss function to make the neural network pay more attention to the area around the fault in the training process.
The attention map is obtained by assuming that the k-th characteristic map output by the last convolutional layer is Ak，
Figure BDA0002695862830000071
Showing a characteristic diagram AkPoint (i, j) above; defining the weight of the kth feature map to the class c as
Figure BDA0002695862830000072
Figure BDA0002695862830000073
Wherein Z represents the number of pixels in the kth feature map; scA classification score representing class c;
the attention map is calculated by:
Figure BDA0002695862830000074
n represents the total number of signatures.
S3, adding a cross entropy loss function of the attention diagram and the attention diagram marked by a geoscience expert into the objective function of the convolutional neural network to obtain a new objective function of the convolutional neural network;
the cross entropy loss function of the attention map and the geo-expert labeled attention map is:
Figure BDA0002695862830000075
wherein q isiFor indicating whether or not to use the attention mechanism for point (i, j), if so, qi1, otherwise qi0; n represents the total number of points to be classified,
Figure BDA0002695862830000081
an attention map representing points (i, j) of a geo expert mark,
Figure BDA0002695862830000082
an attention map representing the (i, j) points generated by the grad-CAM;
the new objective function is obtained as:
Figure BDA0002695862830000083
wherein the content of the first and second substances,
Figure BDA0002695862830000084
beta is a user-defined hyper-parameter, which is the original objective function of the convolutional neural network, and is used for balancing the predicted loss function and the attention guidance term.
S4, training the fault recognition model by using the objective function obtained in the step S3.
In fig. 6(a) and (b), when β is 10 and β is 100, respectively, the recognition results obtained by the method of the present invention are obtained. As can be seen from the figure, the attention map of the fault of fig. 5(a) focuses on the vicinity of the fault classification point of fig. 6. The parameter beta is increased, the obtained effect is better, and the method is consistent with the subjective understanding that the reading area should be focused on the fault identification result.
Figure 7 is a graph of the results of identifying three-dimensional seismic data containing faults 401 x 101 using the method of the invention. In the figure, (a) is a seismic data fault; (b) the fault identification result is obtained when the guiding is not done with attention; (c) the fault identification result when the beta is 10 by using the method of the invention. As can be seen from the figure, when the neural network without attention guidance is used for fault identification, part of fault identification results are broken, and after an attention guidance mechanism is added, the broken condition is improved, and the continuity of the identification results is improved.
It will be appreciated by those of ordinary skill in the art that the embodiments described herein are intended to assist the reader in understanding the principles of the invention and are to be construed as being without limitation to such specifically recited embodiments and examples. Those skilled in the art can make various other specific changes and combinations based on the teachings of the present invention without departing from the spirit of the invention, and these changes and combinations are within the scope of the invention.

Claims (4)

1. A fault identification method based on grad-CAM attention guidance is characterized by comprising the following steps:
s1, inputting the seismic data marked with the faults as labels and the seismic data not marked with the faults as training sets into a convolutional neural network for training;
s2, obtaining an attention map of the convolutional neural network through the grad-CAM;
s3, adding a cross entropy loss function of the attention diagram and the attention diagram marked by a geoscience expert into the objective function of the convolutional neural network to obtain a new objective function of the convolutional neural network;
s4, training the fault recognition model by using the objective function obtained in the step S3.
2. The method of claim 1, wherein the convolutional neural network comprises two convolutional layers, one pooling layer, three convolutional layers, and two fully-connected layers in sequence.
3. The method according to claim 1, wherein the attention map is obtained by assuming that the kth feature map output by the last convolutional layer is Ak，
Figure FDA0002695862820000011
Showing a characteristic diagram AkPoint (i, j) above; defining the weight of the kth feature map to the class c as
Figure FDA0002695862820000012
Figure FDA0002695862820000013
Wherein Z represents the number of pixels in the kth feature map; scA classification score representing class c;
the attention map is calculated by:
Figure FDA0002695862820000014
n represents the total number of signatures.
4. The method for fault identification based on grad-CAM attention guidance according to claim 1, wherein the cross entropy loss function of the attention map and the geo-expert labeled attention map is as follows:
Figure FDA0002695862820000015
wherein q isiFor indicating whether or not to use the attention mechanism for point (i, j), if so, qi1, otherwise qi0; n represents the total number of points to be classified,
Figure FDA0002695862820000016
an attention map representing points (i, j) of a geo expert mark,
Figure FDA0002695862820000017
an attention map representing the (i, j) points generated by the grad-CAM;
the new objective function is obtained as:
Figure FDA0002695862820000018
wherein the content of the first and second substances,
Figure FDA0002695862820000021
the original objective function of the convolutional neural network is beta, and the beta is a hyper-parameter defined by a user.
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