A method for detecting the location of a nearby bed boundary relative to a borehole, wherein the method comprises: generating a first signal representing a first azimuthally sensitive measurement of phase shift and attenuation of an electromagnetic signal propagating through a formation around a borehole; generating a second signal representing a second azimuthally sensitive measurement of phase shift and attenuation of an electromagnetic signal propagating through the formation around a borehole, wherein the azimuthal sensitivity of the first measurement is in a direction different than that of the second measurement, generating a third signal representing a third measurement of phase shift and attenuation of an electromagnetic signal propagating through the formation around a borehole, wherein the azimuthal sensitivity of the first measurement and second measurement is in a direction different than that of the third measurement; wherein the generating of the first and second signals includes receiving electromagnetic signals on first and second skewed receiver antennas (216, 218) respectively oriented in first and second azimuthal directions; and wherein the generating of the third signal includes receiving electromagnetic signals on a third receiver antenna; processing the first, second and third signals during the drilling process, said processing including: forming a direction vector from the measurements, said direction vector indicating the direction of said nearby bed boundary; and forming a maximized receive signal amplitude from the measurements, said maximized receive signal amplitude indicating a distance to said nearby bed boundary. generating a first signal representing a first azimuthally sensitive measurement of phase shift and attenuation of an electromagnetic signal propagating through a formation around a borehole; generating a second signal representing a second azimuthally sensitive measurement of phase shift and attenuation of an electromagnetic signal propagating through the formation around a borehole, wherein the azimuthal sensitivity of the first measurement is in a direction different than that of the second measurement, generating a third signal representing a third measurement of phase shift and attenuation of an electromagnetic signal propagating through the formation around a borehole, wherein the azimuthal sensitivity of the first measurement and second measurement is in a direction different than that of the third measurement; wherein the generating of the first and second signals includes receiving electromagnetic signals on first and second skewed receiver antennas (216, 218) respectively oriented in first and second azimuthal directions; and wherein the generating of the third signal includes receiving electromagnetic signals on a third receiver antenna; processing the first, second and third signals during the drilling process, said processing including: forming a direction vector from the measurements, said direction vector indicating the direction of said nearby bed boundary; and forming a maximized receive signal amplitude from the measurements, said maximized receive signal amplitude indicating a distance to said nearby bed boundary. forming a direction vector from the measurements, said direction vector indicating the direction of said nearby bed boundary; and forming a maximized receive signal amplitude from the measurements, said maximized receive signal amplitude indicating a distance to said nearby bed boundary.