Modeling of water‐gun signatures
A method for calculating the acoustic signal generated by a water gun is presented. The equations describing the shuttle motion and the water jet formation are derived with the assumption that the water is incompressible. The motion of the shuttle is evaluated by assuming adiabatic expansion of the air initially contained in the air chamber of the gun. The formation and dynamics of the water jets emerging from the gun ports are closely connected to the shuttle motion. The combined effect of the water motion through the gun ports and the collapse of a cavity inside the gun nozzle can explain the first part of a water‐gun signature, often referred to as the precursor. The last part of the signature is mainly an impulsive shock wave caused by the collapse of external cavities. It is assumed that the external cavities are formed due to the pressure drop behind each water jet, and that the cavities collapse due to the hydrostatic pressure. The main effect of including interaction between the external cavities is to increase the bubble period (i.e., the collapse time). Comparison between modeled and measured near‐field signatures for an S80 SODERA water gun show a difference of less than 5 percent of the energy in the measurement.