Abstract: There is a method for determining a shape and structure of a piston for a vibratory seismic source element. The method includes generating a cost function J that is function of plural variables; applying plural constraints to the cost function J; calculating a piston shape and piston design that fulfills the plural constraints; and modifying the calculated piston shape and piston design based on practical implementations of the vibratory source element.

Abstract: Method and controller for finding a best distribution of source elements that form a vibratory source array. The method includes inputting plural constraints for the source elements; generating plural distributions of the source elements that fulfill the plural constraints; calculating for each distribution a first attribute characterizing the source array; and selecting the best distribution from the plural distributions based on a value of the first attribute.

Abstract: Computing device, system and method for calculating a far-field signature of a vibratory seismic source. The method includes determining an absolute acceleration of a piston of the vibratory seismic source while the vibratory seismic source generates a seismic wave; calculating, based on the absolute acceleration of the piston, a far-field waveform of the vibratory seismic source at a given point (O) away from the vibratory seismic source; and cross-correlating the far-field waveform with a driving pilot signal of the vibratory seismic source to determine the far-field signature of the vibratory seismic source.

Abstract: Method for generating an excitation signal for a first vibratory seismic source so that the first vibratory seismic source is driven with no listening time. The method includes a step of determining a first target spectrum for the first vibratory seismic source; a step of setting a first group of constraints for the first vibratory seismic source; and a step of generating a first excitation signal for the first vibratory seismic source based on the first group of constraints and the first target spectrum. The first seismic traces recorded with plural receivers can be identified when the first vibratory seismic source is driven with no listening time, based on the first excitation signal.

Abstract: Controller and method for adapting a frequency sweep for a vibro-acoustic source element that is configured to generate acoustic waves during a seismic survey. The method includes driving a seismic source element to generate a current frequency sweep; recording seismic data with plural seismic sensors in response to the current frequency sweep; selecting, during the seismic survey, a data subset of the seismic data, wherein the data subset has a size less than 10% of the seismic data; calculating with a processing device an attribute based on the data subset; and calculating a new frequency sweep based on the attribute.

Abstract: Method for generating an excitation signal for a first vibratory seismic source so that the first vibratory seismic source is driven with no listening time. The method includes a step of determining a first target spectrum for the first vibratory seismic source; a step of setting a first group of constraints for the first vibratory seismic source; and a step of generating a first excitation signal for the first vibratory seismic source based on the first group of constraints and the first target spectrum. The first seismic traces recorded with plural receivers can be identified when the first vibratory seismic source is driven with no listening time, based on the first excitation signal.

Abstract: Method, source and seismic vibro-acoustic source element configured to generate acoustic waves under water. The seismic vibro-acoustic source element includes an enclosure having first and second openings; first and second pistons configured to close the first and second openings; an actuator system provided inside the enclosure and configured to actuate the first and second pistons to generate a wave having first frequency; and a pressure mechanism attached to the enclosure and configured to control a pressure of a fluid inside the enclosure such that a pressure of the fluid is substantially equal to an ambient pressure of the enclosure.

Abstract: Controller and method for determining a driving signal of a vibro-acoustic source element that is configured to generate acoustic waves in water. The method includes estimating at least one physical constraint of the vibro-acoustic source element; modeling a ghost function determined by a surface of the water; setting a target energy spectrum density to be emitted by the vibro-acoustic source element during the driving signal; and determining the driving signal in a controller based on at least one physical constraint, the ghost function, and the target energy spectrum density.