CN116644844A - Stratum pressure prediction method based on neural network time sequence - Google Patents
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Abstract
The application belongs to the field of petroleum exploration and development engineering, and particularly relates to a stratum pressure prediction method based on a neural network time sequence. The method mainly comprises the following steps: collecting field logging data and carrying out noise reduction filtering treatment; selecting proper model input parameters; selecting a training set to construct a proper neural network time sequence model, and optimizing the number of neurons and time lag parameters; and selecting the predicted formation pressure of the new well to test the generalization performance of the method. The neural network time sequence (NARX) model used in the application considers the depth sequence, can utilize the data of the upper stratum to predict the lower stratum, effectively avoids the problem of poor generalization of the conventional neural network model and other machine learning models, establishes the data internal relation between logging data and stratum pressure, and excavates the historical information in the depth sequence, thereby solving the problems of low prediction precision, poor generalization and no consideration of the upper stratum data in the conventional stratum pressure prediction method.
Description
Technical Field
The application belongs to the field of petroleum exploration and development engineering, and particularly relates to a stratum pressure prediction method based on a neural network time sequence.
Background
The formation pressure is an important parameter in the oil and gas exploration and development process, and the high-precision prediction result is the guarantee of safe and efficient drilling construction. The conventional stratum pressure prediction method mainly comprises an Eaton method, a Bowers method and the like, the conventional methods often need to establish a normal trend line, the normal trend line is established without unified standards and is generally established according to experience of researchers, so that non-professional persons are difficult to apply, meanwhile, the conventional prediction method does not consider the change of stratum properties, ignores the role of a depth sequence in stratum pressure prediction, and is difficult to meet the high-precision requirement on stratum pressure in deep water deep well drilling engineering. With the development of logging while drilling and logging while drilling technology, more and more data can be used for formation pressure prediction, the mass data are well utilized by a nonlinear modeling means in artificial intelligence, a new thought is provided for solving the problem of poor application effect caused by too simple linear mathematical model in the conventional method, but the current research is limited by a plurality of formation pressure influence factors, large formation property change, complex pressure anomaly cause and the like, and no good progress is made.
Disclosure of Invention
The application aims to provide a stratum pressure prediction method based on a neural network time sequence, which solves the problems that the existing stratum pressure prediction method is low in prediction precision and poor in generalization and upper stratum data is not considered.
In order to achieve the aim of the application, the application adopts the following technical scheme: a stratum pressure prediction method based on a neural network time sequence comprises the following prediction steps:
s1, collecting on-site drilling construction logging data;
s2, performing noise reduction and filtering treatment on logging data collected on site;
s3, dividing the data subjected to noise reduction filtering processing into a training set, a verification set and a test set, and determining model input and model output;
s4, determining a model error evaluation method;
s5, constructing a neural network time sequence model by using the training set, and optimizing model super parameters by combining the error evaluation method in the S4 and the verification set;
the construction and optimization process of the model is as follows:
s5-1, model structural design: determining the structure of an NARX model, wherein the NARX model comprises an input layer, a hidden layer and an output layer;
s5-2, initializing parameters: initializing model parameters, wherein the parameters are weights and biases;
s5-3. Forward propagation: the model input parameters of the training set are sequentially calculated to output values of a hidden layer and an output layer through a forward propagation process of the model, and prediction output is obtained;
s5-4, loss calculation: calculating a loss function using a difference between the predicted output and the target output;
s5-5. Counter propagation: calculating the gradient of the model parameters (weight and bias) of the loss function through a back propagation algorithm, and adjusting the value of the model parameters according to the direction and the size of the gradient so as to gradually reduce the loss function;
s5-6, parameter optimization: updating parameters of the model using an optimization algorithm (e.g., random gradient descent, adam, etc.) in combination with the validation set to minimize the loss function;
s5-7, repeating the iteration: repeating the steps S5-3 to S5-6 until reaching a predefined stopping condition (such as reaching a maximum iteration number or small change of a loss function) to obtain a trained model;
s6, testing the trained model according to the test set;
s7, carrying out stratum pressure prediction by using logging data of a new well.
The logging data includes depth, weight on bit, hook load, torque, riser pressure, displacement, rate of penetration, formation pressure gradient.
In the step S2, a gaussian moving average method is used to perform noise reduction filtering.
The training set, the verification set and the test set in the step S3 are in a proportion of 75 percent: 15%:15, model inputs are weight on bit, hook load, torque, riser pressure, displacement and rate of penetration; the model output is the stratum pressure gradient, and the 6 parameters are parameters which can be obtained in real time in logging data, so that the timeliness of stratum pressure prediction is improved, the change of stratum property and pore fluid property is reflected, and the defect that the stratum property is not changed in a conventional stratum pressure model is overcome.
The specific formula of the error evaluation method in the step S4 is as follows:
;
wherein:
n-total number of samples;
y i sample true value, g/cm 3 ;
Sample predictive value, g/cm 3 ;
Average of all samples, g/cm 3 ;
RMSERoot mean square error, g/cm 3 ;
R 2 -goodness of fit.
The neural network time sequence model in the step S5 is an NARX network model, is a nonlinear autoregressive neural network and has the characteristic of a dynamic neural network, namely, the output of the network depends on the current external input and also depends on the historical output result, so that compared with a common neural network model, the NARX network has the advantages of memory and better association capability, stronger self-adaptation capability, capability of better utilizing the historical output result and accordance with the aim of carrying out stratum pressure prediction and updating by utilizing the existing result. The NARX network model can be expressed as:
;
in the method, in the process of the application,y(t) In order to output the variable(s),x(t) In order to input the variable(s),y(t-1),y(t-2),y(t-n) As a result of the history of the output variables,x(t-1),x(t-2),x(t-n) As a result of the history of the input variables,nis the time lag size (the past time step size in the NARX model).
The hidden layer activation function and the output layer activation function of the NARX network model are respectively:
;
wherein:
x-model input;
f 1 (x)——activating a function by the hidden layer;
f 2 (x) -output layer activation function;
e-natural constant.
The super parameters to be optimized in the step S5 are time lag size and neuron number.
In the step S7, logging data of a brand new well is selected to be substituted into the model for prediction, and the generalization capability of the model is checked.
The beneficial effects of the application are concentrated in that:
(1) The method utilizes the advantage of real-time availability of logging data, combines a neural network time sequence model, can calculate the formation pressure in real time, is beneficial to the real-time prediction work of the formation pressure in the drilling process, and ensures the safe and efficient drilling work.
(2) The prediction method is not limited by a normal compaction curve, overcomes the defects of lower precision and dependence on subjective judgment of researchers of the traditional method, and has wider application prospect.
(3) According to the application, the advantage of a neural network time sequence (NARX) model is utilized, the change trend is extracted from the historical value, the data of the upper stratum is fully utilized to correct the prediction result, the model precision is greatly improved, the model fitting goodness is more than 95%, and the problem of poor application effect of the conventional machine learning method caused by large stratum property change is solved.
Drawings
FIG. 1 is a predictive flow diagram of the present application;
FIG. 2 is a comparison of the data noise reduction of the present application;
FIG. 3 is a graph of formation pressure predictions in accordance with the present application
Detailed Description
In order to make the technical solution of the present application better understood by those skilled in the art, the present application will be further described in detail with reference to the accompanying drawings and specific embodiments.
As shown in fig. 1, a formation pressure prediction method based on a neural network time sequence includes the following prediction steps:
1. existing in situ logging data is collected, and is selected for modeling as is typical, such data being available from logging while drilling tools in real-world applications. The logging data used by the application comprises depth, hook load, weight on bit, torque, displacement, mechanical drilling speed, riser pressure and stratum pressure gradient, and the logging data used in the case is logging data of one well drilled X1 well in the south China sea, which is 2655 lines in total.
2. The existing logging data is subjected to noise reduction and filtering treatment, and the depth is a real parameter, so that the stratum pressure gradient is a parameter to be predicted, and therefore, the noise reduction and filtering treatment is only carried out on six variables, namely the hook load, the drilling pressure, the torque, the displacement, the mechanical drilling speed and the riser pressure, and the parameters are possibly influenced by the precision and the sampling frequency of a signal collector during on-site acquisition, so that the fluctuation of a sampling curve is larger, and the modeling precision of a model is influenced. The results before and after noise reduction and filtering of different parameters are shown in fig. 2.
3. Determining 6 variables of hook load, weight on bit, torque, displacement, mechanical parameters and riser pressure as model input, wherein the 6 parameters are parameters which can be obtained in real time in logging data, are beneficial to improving timeliness of formation pressure prediction, are beneficial to reflecting changes of formation properties and pore fluid properties, overcome the defect that the formation properties are not changed in a conventional formation pressure model, output by taking formation pressure gradient variables as models, and the ratio of a training set, a verification set and a test set is 70%:15%:15%, randomly sampling from the well data to achieve the aim of improving the generalization performance of the model.
4. In this embodiment, two error evaluation methods of the evaluation model are respectively:
;
wherein:
n-total number of samples;
y i sample true value, g/cm 3 ;
Sample predictive value, g/cm 3 ;
Average of all samples, g/cm 3 ;
RMSERoot mean square error, g/cm 3 ;
R 2 -goodness of fit.
5. The neural network time series model in this embodiment is modeled by a training set, validated by set super parameter optimization and combined with the error evaluation method in S4, and the time lag of use is determined to be 5 and the number of neurons in a hidden layer is determined to be 10 by considering the comprehensive computer modeling time, so that an optimal model is obtained.
6. In this embodiment, a model test is performed using reserved 15% data as a test set, with a model RMSE of 1.22×10 -3 g/cm 3 At this time, the model fitting goodness is over 90%, but at this time, all the test set data and the training set are in the same well, and the on-site practical application effect is considered, if the model needs to be verified whether the model has good generalization, the model test is also needed to be performed by using new well data.
7. In this embodiment, an X2 well with a distance close to that of the X1 well and similar formation properties is selected for model secondary test, the well has 2399 rows of data, and the result is shown in FIG. 3, and the model error RMSE in this embodiment is 1.89×10 -3 g/cm 3 Goodness of fit R 2 = 0.9986, which demonstrates that the model has higher accuracy of formation pressure prediction during drilling of similar formations.
Based on the traditional stratum pressure, the application considers the depth sequence of logging data, and uses the neural network time sequence to provide a new stratum pressure prediction method. By utilizing the characteristic that logging data can be obtained in real time, the relation between historical data and future data is mined, and the formation pressure prediction accuracy is improved.
Compared with the traditional method, the prediction method is not limited by a normal compaction curve, overcomes the defects of lower precision and dependence on subjective judgment of researchers of the traditional method, and has wider application prospect.
According to the application, the advantage of a neural network time sequence (NARX) model is utilized, the change trend is extracted from the historical value, the data of the upper stratum is fully utilized to correct the prediction result, the model precision is greatly improved, the model fitting goodness is more than 95%, and the problem of poor application effect of the conventional machine learning method caused by large stratum property change is solved.
It should be noted that, for simplicity of description, the foregoing method embodiments are all expressed as a series of action combinations, but it should be understood by those skilled in the art that the present application is not limited by the order of action described, as some steps may be performed in other order or simultaneously according to the present application. Further, it should be understood by those skilled in the art that the embodiments described in the specification are all preferred embodiments, and the acts and elements referred to are not necessarily required for the present application.
Claims (8)
1. The stratum pressure prediction method based on the neural network time sequence is characterized by comprising the following steps of:
s1, collecting on-site drilling construction logging data;
s2, performing noise reduction and filtering treatment on logging data collected on site;
s3, dividing the data subjected to noise reduction filtering processing into a training set, a verification set and a test set, and determining model input and model output;
s4, determining a model error evaluation method;
s5, constructing a neural network time sequence model by using the training set, and optimizing model super parameters by combining the error evaluation method in the S4 and the verification set;
the construction and optimization process of the model is as follows:
s5-1, model structural design: determining the structure of an NARX model, wherein the NARX model comprises an input layer, a hidden layer and an output layer;
s5-2, initializing parameters: initializing model parameters, wherein the parameters are weights and biases;
s5-3. Forward propagation: the model input parameters of the training set are sequentially calculated to output values of a hidden layer and an output layer through a forward propagation process of the model, and prediction output is obtained;
s5-4, loss calculation: calculating a loss function using a difference between the predicted output and the target output;
s5-5. Counter propagation: calculating the gradient of the loss function to the model parameters through a back propagation algorithm, and adjusting the values of the model parameters according to the direction and the size of the gradient so as to gradually reduce the loss function;
s5-6, parameter optimization: updating parameters of the model using an optimization algorithm in combination with the validation set to minimize the loss function;
s5-7, repeating the iteration: repeating the steps S5-3 to S5-6 until a predefined stopping condition is reached, so as to obtain a trained model;
s6, testing the trained model according to the test set;
s7, carrying out stratum pressure prediction by using logging data of a new well.
2. The neural network time series based formation pressure prediction method of claim 1, wherein the logging data comprises depth, weight on bit, hook load, torque, riser pressure, displacement, rate of penetration, formation pressure gradient.
3. The method for predicting formation pressure based on neural network time series according to claim 1, wherein in the step S2, a gaussian moving average method is used for noise reduction filtering.
4. The method for predicting formation pressure based on neural network time series according to claim 1, wherein the training set, the validation set and the test set in the step S3 are in a ratio of 75%:15%:15%; model inputs are weight on bit, hook load, torque, riser pressure, displacement, and rate of penetration; the model output is the formation pressure gradient.
5. The method for predicting formation pressure based on neural network time series according to claim 1, wherein the specific formula of the error evaluation method in step S4 is as follows:
;
wherein:
n-total number of samples;
y i sample true value, g/cm 3 ;
Sample predictive value, g/cm 3 ;
Average of all samples, g/cm 3 ;
RMSERoot mean square error, g/cm 3 ;
R 2 -goodness of fit.
6. The method for predicting formation pressure based on neural network time series according to claim 1, wherein the neural network time series model in step S5 is a NARX network model, expressed as:
;
in the method, in the process of the application,y(t) In order to output the variable(s),x(t) In order to input the variable(s),y(t-1),y(t-2),y(t-n) For calendarThe history is output of a variable which,x(t-1),x(t-2),x(t-n) As a result of the history of the input variables,nthe time lag is the size.
7. The method for predicting formation pressure based on neural network time series as claimed in claim 6, wherein the hidden layer activation function and the output layer activation function of the NARX network model are respectively:
;
wherein:
x-model input;
f 1 (x) -a hidden layer activation function;
f 2 (x) -output layer activation function;
e-natural constant.
8. The method according to claim 1, wherein the super-parameters in the step S5 are time lag and neuron number.
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