Method and apparatus for the analysis of seismic records

Claim 1

A method of analyzing by an automatic data processing apparatus a recorded signal resulting from a transmitted signal using a Wiener operator W derived from such transmitted signal and a selected output which comprises: a. reproducing in said automatic data processing apparatus said received signal; b. convolving in said automatic data processing apparatus the said reproduced received signal with the Wiener operator W to obtain the convolution thereof; and c. controlling a recorder with the convolution thus obtained.

Claim 2

A method of analyzing by an automatic data processing apparatus a recorded signal resulting from a transmitted signal using a Wiener operator W derived from such transmitted signal and a selected output which comprises: a. reproducing in said automatic data processing apparatus said received signal; b. convolving in said automatic data processing apparatus the said reproduced received signal with the Wiener operator W to obtain the convolution thereof; and c. controlling a recorder with the convolution thus obtained.

Claim 4

A method of analyzing by an automatic data processing machine a received seismic signal resulting from a known drive signal impressed on the earth, said drive signal being any selected signal, and using a Wiener operator W derived from said drive signal and a selected desired output signal, which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received signal; d. convolving within said automatic data processing machine the said received signal with said operator W to form a convolution; and e. controlling a recorder with the convolution thus obtained.

Claim 5

A method of analyzing by an automatic data processing machine a received seismic signal resulting from a known drive signal impressed on the earth, said drive signal being any selected signal, and using a Wiener operator W derived from said drive signal and a selected desired output signal, which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received signal; d. convolving within said automatic data processing machine the said received signal with said operator W to form a convolution; and e. controlling a recorder with the convolution thus obtained.

Claim 7

A method of analyzing by an automatic data processing apparatus a recorded seismic signal resulting from a transmitted signal using a Wiener operator W derived from such transmitted signal and a selected output which comprises: a. reversing in time either said operator W or said recorded seismic signal; b. then multiplying in said automatic data processing apparatus the recorded seismic signal by said W in one time relationship; c. integrating in said automatic data processing apparatus tHe first product of said multiplication; d. repeatedly changing the time shift between said recorded seismic signal and said W ; e. repeating steps (b) and (c) for each such change; and f. controlling a recorder with the value of the integral obtained for each such change.

Claim 8

A method of analyzing by an automatic data processing apparatus a recorded seismic signal resulting from a transmitted signal using a Wiener operator W derived from such transmitted signal and a selected output which comprises: a. reversing in time either said operator W or said recorded seismic signal; b. then multiplying in said automatic data processing apparatus the recorded seismic signal by said W in one time relationship; c. integrating in said automatic data processing apparatus tHe first product of said multiplication; d. repeatedly changing the time shift between said recorded seismic signal and said W ; e. repeating steps (b) and (c) for each such change; and f. controlling a recorder with the value of the integral obtained for each such change.

Claim 10

A method of analyzing, by an automatic data processing apparatus, a recorded seismic signal resulting from a transmitted signal having a known control signal and using a selected output signal which comprises: a. obtaining a Wiener operator W as an electrical signal from such control signal and said selected output signal; b. reversing in time said operator W to obtain a time reversed W ; c. multiplying within said automatic data processing apparatus the recorded seismic signal by said reversed W in one time relationship to obtain a first product; d. integrating within said automatic data processing apparatus the first product of said multiplication; e. repeatedly changing the time shift within said automatic data processing apparatus between said recorded seismic signal and said time reversed W ; f. repeating steps (c) and (d) for each such time shift; and g. controlling a recorder with the value of the integral obtained for each value of time shift.

Claim 11

A method of analyzing, by an automatic data processing apparatus, a recorded seismic signal resulting from a transmitted signal having a known control signal and using a selected output signal which comprises: a. obtaining a Wiener operator W as an electrical signal from such control signal and said selected output signal; b. reversing in time said operator W to obtain a time reversed W ; c. multiplying within said automatic data processing apparatus the recorded seismic signal by said reversed W in one time relationship to obtain a first product; d. integrating within said automatic data processing apparatus the first product of said multiplication; e. repeatedly changing the time shift within said automatic data processing apparatus between said recorded seismic signal and said time reversed W ; f. repeating steps (c) and (d) for each such time shift; and g. controlling a recorder with the value of the integral obtained for each value of time shift.

Claim 13

A method of analyzing a received seismic signal resulting from a known drive signal impressed on the earth, said drive signal being repetitive during the period of time of the greatest travel time to be measured and using a Wiener operator W derived from said drive signal and a desired output signal which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received signal; d. convolving said received signal with the operator W to obtain a convolution thereof; and e. controlling a recorder with the convolution thus obtained.

Claim 14

A method of analyzing a received seismic signal resulting from a known drive signal impressed on the earth, said drive signal being repetitive during the period of time of the greatest travel time to be measured and using a Wiener operator W derived from said drive signal and a desired output signal which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received signal; d. convolving said received signal with the operator W to obtain a convolution thereof; and e. controlling a recorder with the convolution thus obtained.

Claim 15

A method of analyzing, by an automatic data processing apparatus, a received seismic signal resulting from a known drive signal impressed upon the earth and using a Wiener operator W expressed as spaced apart coefficients and derived from said drive signal and a desired output signal, which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received signal; d. at an instant of time multiplying, in said automatic data processing apparatus, the amplitudes of said received signals at appropriately spaced intervals by said coefficient of said Wiener operator W to form a first product, either said received signal or said operator W , but not both, being reversed in time; e. integrating within said automatic data processing apparatus said product over the time duration of said operator W ; f. repeatedly changing, within said automatic data processing apparatus, the time shift between said received signal and the coefficients of said operator W ; g. repeating steps (d) and (e) for each such change in time relationship; and h. recording the value of the integral obtained for each change in time relationship as a function of the time relationship.

Claim 16

A method of analyzing, by an automatic data processing apparatus, a received seismic signal resulting from a known drive signal impressed upon the earth and using a Wiener operator W expressed as spaced apart coefficients and derived from said drive signal and a desired output signal, which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received signal; d. at an instant of time multiplying, in said automatic data processing apparatus, the amplitudes of said received signals at appropriately spaced intervals by said coefficient of said Wiener operator W to form a first product, either said received signal or said operator W , but not both, being reversed in time; e. integrating within said automatic data processing apparatus said product over the time duration of said operator W ; f. repeatedly changing, within said automatic data processing apparatus, the time shift between said received signal and the coefficients of said operator W ; g. repeating steps (d) and (e) for each such change in time relationship; and h. recording the value of the integral obtained for each change in time relationship as a function of the time relationship.

Claim 17

A method of analyzing a received seismic signal resulting from a known drive signal impressed upon the earth and using a Wiener operator W expressed as spaced apart coefficients and derived from said drive signal and a desired output signal, said drive signal Is repetitive during the period of time of the greatest travel time to be measured, which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received signal; d. at an instant of time multiplying the amplitudes of said received signals at appropriately spaced intervals by said coefficient of said Wiener operator W to form a first product, either said received signal or said operator W , but not both, being reversed in time; e. integrating said product over the time duration of said operator W ; f. repeatedly changing the time shift between said received signal and the coefficients of said operator W ; g. repeating steps (d) and (e) for each such change in time relationship; and h. recording the value of the integral obtained for each change in time relationship as a function of the time relationship.

Claim 18

A method of analyzing a received seismic signal resulting from a known drive signal impressed upon the earth and using a Wiener operator W expressed as spaced apart coefficients and derived from said drive signal and a desired output signal, said drive signal Is repetitive during the period of time of the greatest travel time to be measured, which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received signal; d. at an instant of time multiplying the amplitudes of said received signals at appropriately spaced intervals by said coefficient of said Wiener operator W to form a first product, either said received signal or said operator W , but not both, being reversed in time; e. integrating said product over the time duration of said operator W ; f. repeatedly changing the time shift between said received signal and the coefficients of said operator W ; g. repeating steps (d) and (e) for each such change in time relationship; and h. recording the value of the integral obtained for each change in time relationship as a function of the time relationship.

Claim 19

A method of analyzing a received seismic signal resulting from a known drive signal impressed on the earth, using Wiener operator W derived from said drive signal and a selected desired output signal, and further using a delay line having a plurality of spaced outputs and a plurality of potentiometers having adjustable settings, the method which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received seismic signal; d. connecting a plurality of said potentiometers equal in number to the coefficients sufficient to define the Wiener operator W to spaced outputs along said delay line; e. adjusting the settings of each of the potentiometers in accordance with the reverse order corresponding to values of the coefficients of W ; f. reproducing said received seismic signal and passing it into said delay line; g. adding the outputs of said potentiometers in proper phase corresponding to the sign of the coefficients of W ; and h. recording the added outputs as a function of time.

Claim 20

A method of analyzing a received seismic signal resulting from a known drive signal impressed on the earth, using Wiener operator W derived from said drive signal and a selected desired output signal, and further using a delay line having a plurality of spaced outputs and a plurality of potentiometers having adjustable settings, the method which comprises: a. creating seismic waves at a given location in accordance with said drive signal; b. receiving the resultant waves after traveling through the subsurface; c. reproducibly recording such received waves as a received seismic signal; d. connecting a plurality of said potentiometers equal in number to the coefficients sufficient to define the Wiener operator W to spaced outputs along said delay line; e. adjusting the settings of each of the potentiometers in accordance with the reverse order corresponding to values of the coefficients of W ; f. reproducing said received seismic signal and passing it into said delay line; g. adding the outputs of said potentiometers in proper phase corresponding to the sign of the coefficients of W ; and h. recording the added outputs as a function of time.