CN115996144A - Fracturing data transmission method and system based on compressed sensing and RSA encryption algorithm - Google Patents
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Abstract
The invention provides a fracturing data transmission method and a system based on compressed sensing and RSA encryption algorithm, wherein the method comprises the following steps: acquiring an original fracturing microseism signal; sparse representation is adopted for the original fracturing microseism signals; compressing the sparse fracture microseism signal based on compressed sensing; encrypting the compressed fracturing microseism signals; transmitting the encrypted fracturing microseism signals to a signal receiving end; decrypting the compressed and encrypted fracturing microseism signals; and reconstructing an original fracturing microseism signal according to the decompressed fracturing microseism signal. The method provided by the invention enables the fracturing microseism monitoring system to be more efficient in the data transmission process, thereby reducing the requirement of each acquisition node on communication bandwidth. And the data transmission is safer because the data transmission is encrypted by adopting an RSA encryption algorithm.
Description
Technical Field
The invention relates to the technical field of information processing, in particular to a fracturing data transmission method and system based on compressed sensing and RSA encryption algorithm.
Background
The energy source is taken as the basic power of the development of the human society, not only provides indispensable guarantee for the high-speed development of economy, but also has important strategic significance in the aspect of national security. Petroleum is one of the most important energy sources worldwide, and is closely related to industry, military and economy in various countries. In recent years, the demand of China for petroleum is continuously rising, and statistics data show that the import amount of petroleum is rapidly rising, and the domestic production amount is kept at a relatively stable level. The increasing use of petroleum and the expanding application range keep the dominant position in various energy sources for a long time.
Fracturing is an important means for modifying low-permeability hydrocarbon reservoirs and developing deep hydrocarbon reservoirs, and plays an important role in improving oil and gas recovery efficiency. At present, in the process of monitoring a fracturing microseism, as the specific generation of the fracturing microseism event is unknown and the duration time is short, data acquisition is required to be carried out all the time in the time when the fracturing microseism event possibly occurs, and the fracturing microseism event is predicted by acquiring data so as to avoid missing the fracturing microseism event.
In the working mode, a large amount of data is firstly required to be collected and transmitted to the fracturing microseism monitoring system for the fracturing microseism monitoring system to predict, however, the data transmission efficiency is not high enough because of the huge amount of data related to the fracturing microseism event, so that the requirement of each collection node on communication bandwidth is high; moreover, the security of data transmission is not guaranteed.
Disclosure of Invention
The invention aims to solve the defects in the prior art and provides a fracturing data transmission method and system based on compressed sensing and RSA encryption algorithm.
A fracturing data transmission method based on compressed sensing and RSA encryption algorithm comprises the following steps:
acquiring an original fracturing microseism signal;
sparse representation is adopted for the original fracturing microseism signals, so that sparse fracturing microseism signals are obtained;
compressing the sparse fracture microseism signal based on compressed sensing to obtain a compressed fracture microseism signal;
encrypting the compressed fracturing microseism signals to obtain encrypted fracturing microseism signals;
transmitting the encrypted fracturing microseism signals to a signal receiving end;
decrypting the compressed and encrypted fracturing microseism signals to obtain decrypted fracturing microseism signals;
and reconstructing the original fracturing microseism signal according to the decompressed fracturing microseism signal.
Further, in the fracturing data transmission method based on the compressed sensing and RSA encryption algorithm, the sparse representation is adopted on the original fracturing microseism signal, and the obtaining of the sparse fracturing microseism signal comprises the following steps:
selecting an orthogonal base dictionary to construct an orthogonal matrix psi (psi) T ψ＝ψψ T ＝1)；
Sparse representation is carried out on the original fracturing microseism signals according to the orthogonal matrix psi to obtain sparse fracturing microseism signals X, wherein X=psi S; wherein, the meaning represented by S is: s is the sparse coefficient of X.
Further, according to the fracturing data transmission method based on the compressed sensing and the RSA encryption algorithm, the compressing the sparse fracturing microseism signal based on the compressed sensing, the obtaining the compressed fracturing microseism signal includes:
constructing a measurement matrix by using a Gaussian random matrix;
and compressing the original fracturing microseism signal through the measurement matrix to obtain a compressed fracturing microseism signal.
Further, according to the fracturing data transmission method based on the compressed sensing and RSA encryption algorithm, the encrypting the compressed fracturing microseism signal to obtain the encrypted fracturing microseism signal includes:
respectively acquiring a public key and a private key;
transmitting the public key to the signal transmitter and storing the private key;
encoding the compressed fracturing microseism signals according to the public key to obtain encoded fracturing microseism signals;
and encrypting the encoded fracturing microseism signals according to the public key to obtain encrypted fracturing microseism signals.
Further, the method for transmitting the fracturing data based on the compressed sensing and RSA encryption algorithm comprises the steps of respectively acquiring a public key and a private key;
(1) Arbitrarily selecting two larger prime numbers p and q, and meeting the calculation modulus n=pq of p not equal to q;
(2) Euler function
(3) Optionally selecting one of them to be smaller than
Is a positive integer e of (2) and satisfies +.>
(4) According to
Find e about +.>
A modulo inverse element d;
(5) P, q
E, d and modulus N are reserved;
(6) Generating a public key (e, N) and a private key (d, N) from the e, d and the modulus N.
Further, according to the fracturing data transmission method based on the compressed sensing and RSA encryption algorithm, the decrypting the compressed and encrypted fracturing microseism signal to obtain the decrypted fracturing microseism signal includes:
and decrypting the compressed and encrypted fracturing microseism signals according to the private key to obtain decrypted fracturing microseism signals.
Further, according to the fracturing data transmission method based on the compressed sensing and RSA encryption algorithm, the reconstructing the original fracturing microseism signal according to the decompressed fracturing microseism signal includes: reconstructing the original fracturing microseismic signal by using an OMP algorithm.
A compressed sensing and RSA encryption algorithm based fracking data transmission system comprising:
the acquisition unit is used for acquiring the original fracturing microseism signals;
the processing unit is used for obtaining sparse fracturing microseism signals by adopting sparse representation on the original fracturing microseism signals;
the compression unit is used for compressing the sparse fracture microseism signal based on compressed sensing to obtain a compressed fracture microseism signal;
the encryption unit is used for encrypting the compressed fracturing microseism signals to obtain encrypted fracturing microseism signals;
the transmission unit is used for transmitting the encrypted fracturing microseism signals to a signal receiving end;
the decryption unit is used for decrypting the compressed and encrypted fracturing microseism signals to obtain decrypted fracturing microseism signals;
and the reconstruction unit is used for reconstructing the original fracturing microseism signal according to the decompressed fracturing microseism signal.
An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing a compressed sensing and RSA encryption algorithm based frac data transmission method as defined in any one of the above when executing the program.
According to the fracturing data transmission method and system based on the compressed sensing and the RSA encryption algorithm, the original fracturing microseism signals are compressed based on the compressed sensing, and the compressed signals are encrypted based on the RSA encryption algorithm and then transmitted, so that the fracturing microseism monitoring system can be more efficient in the data transmission process, and the requirements of all acquisition nodes on communication bandwidth are reduced. And the data transmission is encrypted by adopting an RSA encryption algorithm, so that the data transmission is safer.
Drawings
FIG. 1 is a flow chart of a fracturing data transmission method based on compressed sensing and RSA encryption algorithm provided by the invention;
FIG. 2 is a block diagram of a fracturing data transmission system based on compressed sensing and RSA encryption algorithm provided by the invention;
fig. 3 is a schematic structural diagram of an electronic device provided by the present invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the technical solutions in the present invention will be clearly and completely described below, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Compressed sensing utilizes a measurement matrix to linearly project a high-dimensional sparse signal into a low-dimensional space to obtain fewer measured values, so that sampling compression is completed simultaneously. Therefore, compressed sensing realizes the recovery of the original signal with lower sampling data, and greatly saves the cost of signal transmission and processing.
The RSA cryptosystem is an asymmetric cryptosystem based on number theory, a block cryptosystem and a public key system algorithm taking an exponential function based on factorization as a one-way trapdoor function. It is resistant to all cryptographic attacks known so far.
The invention combines compressed sensing with RSA encryption algorithm, can realize safe and efficient transmission of data, and lays foundation for constructing a data safe transmission system.
Fig. 1 is a flow chart of a fracturing data transmission method based on compressed sensing and RSA encryption algorithm, which comprises the following steps:
step 101: acquiring an original fracturing microseism signal;
step 102: sparse representation is adopted for the original fracturing microseism signals, so that sparse fracturing microseism signals are obtained;
step 103: compressing the sparse fracture microseism signal based on compressed sensing to obtain a compressed fracture microseism signal;
step 104: encrypting the compressed fracturing microseism signals to obtain encrypted fracturing microseism signals;
step 105: transmitting the encrypted fracturing microseism signals to a signal receiving end;
step 106: decrypting the compressed and encrypted fracturing microseism signals to obtain decrypted fracturing microseism signals;
step 107: and reconstructing the original fracturing microseism signal according to the decompressed fracturing microseism signal.
According to the fracturing data transmission method and system based on the compressed sensing and the RSA encryption algorithm, the original fracturing microseism signals are compressed based on the compressed sensing, and the compressed signals are encrypted based on the RSA encryption algorithm and then transmitted, so that the fracturing microseism monitoring system can be more efficient in the data transmission process, and the requirements of all acquisition nodes on communication bandwidth are reduced. And the data transmission is encrypted by adopting an RSA encryption algorithm, so that the data transmission is safer.
The following describes the process of signal transmission according to the present invention in detail:
step 1: sparse representation of the signal. The fracturing microseism target signal is an N-dimensional discrete signal X, and an orthogonal matrix phi (phi) is constructed by selecting an orthogonal base dictionary T ψ＝ψψ T =1) making S sparse, i.e
X＝ψS
Wherein ψ (ψ ε R) N×N ) Is an orthogonal matrix, sparse means that only K terms in S are non-zero, and other N-K terms are 0 or approach 0, where K < N.
Step 2: the signal is compressed by the measurement matrix. The method specifically comprises the following steps of; construction of measurement matrix Φ (Φ ε R) using Gaussian random matrix M×N ) Projecting X into an M-dimensional signal y
y＝Φx＝Φψs＝Θs
That is to say the original signal X is projected onto a sampling matrix (measurement basis) Φ to obtain the sampled signal y. In order to ensure that the measured values reconstruct the original signal X, the measurement basis and the sparse basis need to meet certain constraints, i.e. limited equidistant properties. The usability of the measurement matrix is generally verified by the equivalent condition correlation discrimination theory of RIP, namely whether the measurement matrix phi and the sparse matrix phi have uncorrelation or not is verified, if the measurement matrix phi and the sparse matrix phi have uncorrelation, the principle of limiting equidistant is satisfied, and the uncorrelation of phi and phi can be measured by the cross-correlation coefficient mu (theta) of theta
Wherein the correlation coefficient mu (theta) is defined as the maximum value of the correlation coefficients of any two columns in the theta, and the smaller the mu (theta), the more accurate the original signal can be recovered. And the Gaussian random matrix has randomness, and can well meet the uncorrelated condition. The specific process of Gaussian matrix construction is as follows: generating an M N-dimensional matrix phi such that phi ij Independent of each other and subject to a mean of zero, variance
The gaussian distribution of (1) is:
Φ ij representing the elements of row i, column j.
Step 3: encrypting the compressed signal. The method specifically comprises the following steps of; the compressed signal y is encrypted by RSA encryption algorithm after being encoded, and has two stages
1. Key generation stage
(1) Arbitrarily selecting two larger prime numbers p and q, and meeting the calculation modulus n=pq of p not equal to q;
(2) Euler function
(3) Optionally selecting one of them to be smaller than
Is a positive integer e of (2) and satisfies +.>
(4) According to
Find e about +.>
A modulo inverse element d;
(5) P, q
E, d and modulus N are reserved.
The public key (e, N) and the private key (d, N) may be acquired after the key generation process is ended. The public key (e, N) is sent to all objects needing to communicate, namely the message sender, and the private key (d, N) is stored by the key generator to prevent the attack caused by leakage.
2. Message encryption stage
The compressed information y is encoded and converted into a non-negative integer N smaller than the modulus N. Such as converting each character of the plaintext message into an ASCLL code corresponding to the character, and concatenating the ASCLL codes corresponding to the characters to form new plaintext content. If the length of the information y is long, the information y may be grouped and then the contents of each group are converted into n. Encrypting the converted content N into a ciphertext message C by obtaining the public key (e, N) and the above formula
C＝n e (modN)
After the client side where the message sender is located calculates the ciphertext message C, the ciphertext message C can be transmitted to the message receiver.
Step 4: the signal is decrypted. After the encryption process is finished and the encrypted signal is sent to the receiving party, the encrypted signal needs to be decrypted. The method specifically comprises the following steps of; decrypting the ciphertext message C using the private key (d, N) and the formula obtained in the key generation stage to obtain the converted content N
n＝C d (modN)
After the converted content n is obtained, the content n can be restored to the plaintext information y according to the conversion mode. The working principle of decrypting the ciphertext message C is as follows: n is n ed ＝C d (mod N). Is known to be
I.e. < ->
As is available from the euler theorem:
and finally, reversely decoding the decrypted information to obtain a compressed signal y.
Step 5: the raw data is reconstructed by OMP algorithm. The OMP algorithm selects a new atom with the largest absolute value of the inner product of the current residual error in each iteration to be added into the supporting set, and the selected atom is linearly orthogonal with the residual error, so that the orthogonality of the subsequent iterations is kept, and the convergence speed of the column algorithm is increased. The method comprises the following steps: knowing the sparse signal X, the observation vector y=Φx, the sensing matrix a=Φψ, the OMP algorithm reconstruct the signal flow as follows:
step 1; initializing r 0 ＝y，
The number of iterations t=1;
step (a)2 selecting atoms lambda t ＝argmax j ＝1,2,LN|<r t-1 ,a j >|；
Step 3, updating atom and support set, delta t ＝Δ t-1 ∪{λ t },A t ＝A t-1 ∪α λt ；
Step 4, least square method updates y=a t θ t The method comprises the following steps:
step 6: updating
And if t is less than or equal to k, stopping iteration, otherwise, returning to the step 2.
The algorithm can reconstruct the original data x, so that the fracturing data is transmitted safely and efficiently.
Fig. 2 is a block diagram of a fracturing data transmission system based on a compressed sensing and RSA encryption algorithm according to the present invention, and the following describes the fracturing data transmission system based on the compressed sensing and RSA encryption algorithm according to the present invention, and the fracturing data transmission system based on the compressed sensing and RSA encryption algorithm described below and the fracturing data transmission method based on the compressed sensing and RSA encryption algorithm described above may be referred to correspondingly each other.
The system comprises:
an acquisition unit 201, configured to acquire an original fracturing microseism signal;
the processing unit 202 is configured to perform sparse representation on the original fracturing microseism signal to obtain a sparse fracturing microseism signal;
the compression unit 203 is configured to compress the sparse fracture microseism signal based on compressed sensing, so as to obtain a compressed fracture microseism signal;
an encrypting unit 204, configured to encrypt the compressed fracturing microseism signal, to obtain an encrypted fracturing microseism signal;
a transmission unit 205, configured to transmit the encrypted fracturing microseism signal to a signal receiving end;
a decryption unit 206, configured to decrypt the compressed and encrypted fracturing microseism signal to obtain a decrypted fracturing microseism signal;
207 for reconstructing the original fracturing microseism signal from the decompressed fracturing microseism signal.
Fig. 3 illustrates a physical schematic diagram of an electronic device, as shown in fig. 3, where the electronic device may include: processor 310, communication interface 320, memory 330 and communication bus 340, wherein processor 310, communication interface 320 and memory 330 communicate with each other via communication bus 340. The processor 310 may invoke logic instructions in the memory 330 to perform a fracturing data transmission method based on compressed sensing and RSA encryption algorithms, the method comprising:
acquiring an original fracturing microseism signal;
sparse representation is adopted for the original fracturing microseism signals, so that sparse fracturing microseism signals are obtained;
compressing the sparse fracture microseism signal based on compressed sensing to obtain a compressed fracture microseism signal;
encrypting the compressed fracturing microseism signals to obtain encrypted fracturing microseism signals;
transmitting the encrypted fracturing microseism signals to a signal receiving end;
decrypting the compressed and encrypted fracturing microseism signals to obtain decrypted fracturing microseism signals;
and reconstructing the original fracturing microseism signal according to the decompressed fracturing microseism signal.
Further, the logic instructions in the memory 330 described above may be implemented in the form of software functional units and may be stored in a computer-readable storage medium when sold or used as a stand-alone product. Based on this understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution, in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server, a network device, etc.) to perform all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a usb disk, a removable hard disk, a Read-only memory (ROM), a random access memory (RAM, randomAccessMemory), a magnetic disk, or an optical disk, or other various media capable of storing program codes.
The system embodiments described above are merely illustrative, wherein the elements illustrated as separate elements may or may not be physically separate, and the elements shown as elements may or may not be physical elements, may be located in one place, or may be distributed over a plurality of network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. Those of ordinary skill in the art will understand and implement the present invention without undue burden.
From the above description of the embodiments, it will be apparent to those skilled in the art that the embodiments may be implemented by means of software plus necessary general hardware platforms, or of course may be implemented by means of hardware. Based on this understanding, the foregoing technical solution may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a computer readable storage medium, such as ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the respective embodiments or some parts of the embodiments.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims (9)
1. The fracturing data transmission method based on compressed sensing and RSA encryption algorithm is characterized by comprising the following steps:
acquiring an original fracturing microseism signal;
sparse representation is adopted for the original fracturing microseism signals, so that sparse fracturing microseism signals are obtained;
compressing the sparse fracture microseism signal based on compressed sensing to obtain a compressed fracture microseism signal;
encrypting the compressed fracturing microseism signals to obtain encrypted fracturing microseism signals;
transmitting the encrypted fracturing microseism signals to a signal receiving end;
decrypting the compressed and encrypted fracturing microseism signals to obtain decrypted fracturing microseism signals;
and reconstructing the original fracturing microseism signal according to the decompressed fracturing microseism signal.
2. The method for transmitting fracturing data based on compressed sensing and RSA encryption algorithm according to claim 1, wherein the step of obtaining the sparse fracturing microseism signal by sparse representation of the original fracturing microseism signal comprises the steps of:
selecting an orthogonal base dictionary to construct an orthogonal matrix psi (psi) T ψ＝ψψ T ＝1)；
Sparse representation is carried out on the original fracturing microseism signals according to the orthogonal matrix psi to obtain sparse fracturing microseism signals X, wherein X=psi S; wherein, the meaning represented by S is: s is the sparse transform coefficient of X.
3. The method for transmitting fracturing data based on compressed sensing and RSA encryption algorithm according to claim 2, wherein the compressing the sparse fracturing microseism signal based on compressed sensing to obtain a compressed fracturing microseism signal comprises:
constructing a measurement matrix by using a Gaussian random matrix;
and compressing the original fracturing microseism signal through the measurement matrix to obtain a compressed fracturing microseism signal.
4. The method for transmitting fracturing data based on compressed sensing and RSA encryption algorithm according to claim 3, wherein encrypting the compressed fracturing microseism signal to obtain an encrypted fracturing microseism signal comprises:
respectively acquiring a public key and a private key;
transmitting the public key to the signal transmitter and storing the private key;
encoding the compressed fracturing microseism signals according to the public key to obtain encoded fracturing microseism signals;
and encrypting the encoded fracturing microseism signals according to the public key to obtain encrypted fracturing microseism signals.
5. The method for transmitting fracking data based on compressed sensing and RSA encryption algorithm according to claim 4, wherein the obtaining the public key and the private key respectively comprises;
(1) Arbitrarily selecting two larger prime numbers p and q, and meeting the calculation modulus n=pq of p not equal to q;
(2) Euler function
(3) Optionally selecting one of them to be smaller than
Is a positive integer e of (2) and satisfies +.>
(4) According to
Find e about +.>
A modulo inverse element d;
(5) P, q
E, d and modulus N are reserved;
(6) Generating a public key (e, N) and a private key (d, N) from the e, d and the modulus N.
6. The method for transmitting fracturing data based on compressed sensing and RSA encryption algorithm according to claim 4, wherein decrypting the compressed and encrypted fracturing microseism signal to obtain the decrypted fracturing microseism signal comprises:
and decrypting the compressed and encrypted fracturing microseism signals according to the private key to obtain decrypted fracturing microseism signals.
7. The method for transmitting fracturing data based on compressed sensing and RSA encryption algorithm according to claim 4, wherein reconstructing the original fracturing microseism signal from the decompressed fracturing microseism signal comprises: reconstructing the original fracturing microseismic signal by using an OMP algorithm.
8. A compressed sensing and RSA encryption algorithm based fracking data transmission system, comprising:
the acquisition unit is used for acquiring the original fracturing microseism signals;
the processing unit is used for obtaining sparse fracturing microseism signals by adopting sparse representation on the original fracturing microseism signals;
the compression unit is used for compressing the sparse fracture microseism signal based on compressed sensing to obtain a compressed fracture microseism signal;
the encryption unit is used for encrypting the compressed fracturing microseism signals to obtain encrypted fracturing microseism signals;
the transmission unit is used for transmitting the encrypted fracturing microseism signals to a signal receiving end;
the decryption unit is used for decrypting the compressed and encrypted fracturing microseism signals to obtain decrypted fracturing microseism signals;
and the reconstruction unit is used for reconstructing the original fracturing microseism signal according to the decompressed fracturing microseism signal.
9. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the processor implements a method for transmission of frac data based on compressed sensing and RSA encryption algorithms according to any one of claims 1 to 7 when executing the program.
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