Marine navigation method for geophysical exploration

A method of processing data from a moving navigational network having a source point, a plurality of receiver points and a plurality of stations, the method comprising the steps:

• (a) obtaining a set of observations from the network stations, each observation being obtained by using a coordinate system whose origin lies along a nominal sailing line;
• (b) determining the variance of each observation;
• (c) decorrelating any correlated observation;
• (d) computing a statistic for each decorrelated observation and discarding observations which fall outside a predetermined norm;
• (e) sequentially processing each of the decorrelated observation to obtain estimated coordinates for each station int he network;
• and
• (f) interpolating the estimated station coordinates to determine the location of the source and receiver points.

A method of determining the location of seismic sources and seismic receivers contained in a marine seismic survey system utilizing a navigation network having a plurality of stations, said navigation network providing a plurality of navigational observations, certain number of such observations being correlated, the method comprising the steps of:

• (a) estimating the variance of each observation;
• (b) uncorrelating each of the correlated observations;
• (c) computing innovation for each of the observations, an innovation being defined as the difference between the actual value of the observation and a predicted value for such observation;
• (d) computing the variance of the innovations;
• (f) computing a statistic for each observation and discarding those observations which fall outside a predetermined norm;
• (g) sequentially processing the undiscarded observations to estimate the coordinates of the stations int he network;
• and
• (h) determining the location of the source and receiver points from the estimated coordinates of the stations.

A method of determining the location of seismic sources and seismic receivers contained in a marine seismic survey system utilizing a navigation network having a plurality of stations and which provides a plurality of navigational observations, certain number of such observations being correlated, the method comprising the step of:

• (a) estimating the variance of each observation;
• (b) uncorrelating each of the correlated observations;
• (c) computing an innovation for each of the observations, an innovation being defined as the difference between the actual value of the observation and a predicted value;
• (d) computing the variance of the innovations;
• (f) computing a statistic for each observation and discarding the observations which fall outside a predetermined norm;
• (g) sequentially processing the undiscarded observations using a Kalman filter to estimate the coordinates of the stations in the network;
• (h) computing a scaling factor utilizing the statics of the observations;
• and
• (i) updating the Kalman filter by utilizing the scaling factor and using the updated Kalman filter for further processing observations.

A method of determining the location of seismic sources and seismic receivers contained in a marine seismic survey system utilizing a navigation network having a plurality of stations and which provide a plurality of navigational observations, certain number of such observations being correlated, the method comprising the step of:

• (a) estimating the variance of each observation;
• (b) uncorrelating each of the correlated observations;
• (c) computing a w-statistic for each uncorrelated observation and discarding observations which fall outside a predetermined norm;
• (d) sequentially processing each undiscarded uncorrelated observation to obtain the coordinates of each station in the network;
• and
• (e) interpolating the station coordinates to determine the location of the source and receiver points.

In a marine seismic survey system having a source point, a plurality of receivers and a navigation network, said navigation network containing a plurality of stations and providing a plurality of observations, a method for on-line determining the location of the at lest one source and the receivers in said plurality of receivers when the seismic survey system is being towed behind a vessel, said method comprising the steps of:

• (a) estimating the variance of each of the observations;
• (b) uncorrelating any correlated observations in said plurality of observations;
• (c) computing innovation for each of the observations, an innovation being defined as the difference between the actual value of the observation and its predicted value;
• (d) computing the variance of the innovation;
• (f) computing a snooping or w-statistic for each said observation and discarding those observations which fall outside a predetermined norm;
• (g) sequentially processing the undiscarded observations to obtain the coordinates of the stations in the network;
• and
• (h) determining the locations of the at lest one source and the receivers in said plurality of receivers using from the location of the stations;
• (i) determining scaling factor at the at least one source point over a period of covered by a predetermined elapsed time;
• and
• (j) updating the Kalman filter by using the scaling factor for processing subsequent observations.

In a marine seismic survey system having a source point, a plurality of receivers and a navigation network, said navigation network containing a plurality of stations and providing a plurality of observations, a method for on-line determining the location of the at least one source and the receivers in said plurality of receivers when the seismic survey system is being towed behind a vessel, said method comprising the steps of:

• (a) estimating the variance of the observations in said plurality of observations;
• (b) uncorrelating any correlated observations in said plurality of observations;
• (c) computing innovation for each of the observations in said plurality of observations, an innovation for each of the observations in said plurality of observations, an innovation being defined as the difference between the actual value of the observation and a predicted value for such observation;
• (d) computing the variance of the innovations;
• (f) computing a snooping or w-statistic for each said observation and discarding those observations which fall outside a predetermined norm;
• (g) sequentially processing the undiscarded observations using a Kalman filter to estimate the coordinates of the stations in the network;
• and
• (h) determining the locations of the source and the receivers in said plurality of receivers using the location of the stations;
• (i) determining a scaling factor using the w-statistics;
• and
• (j) updating the Kalman filter by using the scaling factor for processing subsequent observations.