A pulse-wave ultrasound production well tubing wireline logging method comprising arranging a logging tool in said tubing, said logging tool communicating over a toolbus and a downhole telemetry modem via a wireline to a surface read-out unit, said logging tool provided with a frustoconical ring-shaped linear ultrasound transducer array comprising a number (m) of narrow, radially directed ultrasound transducer elements with transducing surfaces forming a conical lateral surface, characterized by - controlling said logging tool to selectively operate in an PW backscatter imaging processing mode and a Doppler measurement processing mode, for a series of pulsed ultrasound transmission and reception against a focused point using said frustoconical ring-shaped linear ultrasound transducer array, comprising - transmitting focused ultrasound wave pulses as two opposite ultrasound beams and in a direction orthogonally from said conical surface, to a surrounding well fluid in said tubing, and - receiving, analogue to digital converting and beamforming returning ultrasound signals representing said opposite beams and, and forming a signal envelope of said demodulated digitized signal time series for each beams and; - in said PW backscatter mode, quantizing said enveloped ultrasound data to form an ultrasound image data for a focused point for each beams and, - in said Doppler mode, using a series of said demodulated digitized time signal series producing Doppler measurement data for said focused point for each beams and, - during the Doppler measurement processing mode, conducting Doppler measurements, calculating a mean, relatively low velocity of said Doppler data representing a relatively low tool velocity, and using said mean, relatively low velocity for conducting clutter filtering for removing Doppler data representing said relatively low tool velocity, processing said filtered Doppler data for obtaining Doppler data arising due to fluid flow in an annulus space outside said tubing, wherein in said process of clutter filtering, down-sampling said Doppler data with said mean, relatively low velocity, so as for bringing a frequency spectrum of said down-sampled data representing clutter, to near zero frequency, and high-pass filtering said Doppler data to remove the contribution of Doppler data representing relatively low velocity, - transmitting all or part of said formed ultrasound images and Doppler data on said toolbus, via said wireline to said surface read-out unit. - controlling said logging tool to selectively operate in an PW backscatter imaging processing mode and a Doppler measurement processing mode, for a series of pulsed ultrasound transmission and reception against a focused point using said frustoconical ring-shaped linear ultrasound transducer array, comprising - transmitting focused ultrasound wave pulses as two opposite ultrasound beams and in a direction orthogonally from said conical surface, to a surrounding well fluid in said tubing, and - receiving, analogue to digital converting and beamforming returning ultrasound signals representing said opposite beams and, and forming a signal envelope of said demodulated digitized signal time series for each beams and; - in said PW backscatter mode, quantizing said enveloped ultrasound data to form an ultrasound image data for a focused point for each beams and, - in said Doppler mode, using a series of said demodulated digitized time signal series producing Doppler measurement data for said focused point for each beams and, - during the Doppler measurement processing mode, conducting Doppler measurements, calculating a mean, relatively low velocity of said Doppler data representing a relatively low tool velocity, and using said mean, relatively low velocity for conducting clutter filtering for removing Doppler data representing said relatively low tool velocity, processing said filtered Doppler data for obtaining Doppler data arising due to fluid flow in an annulus space outside said tubing, wherein in said process of clutter filtering, down-sampling said Doppler data with said mean, relatively low velocity, so as for bringing a frequency spectrum of said down-sampled data representing clutter, to near zero frequency, and high-pass filtering said Doppler data to remove the contribution of Doppler data representing relatively low velocity, - transmitting all or part of said formed ultrasound images and Doppler data on said toolbus, via said wireline to said surface read-out unit.