A logging while drilling system including: a plurality of LWD tool modules positioned along a drillstring that comprise: a first module of the plurality of LWD tool modules that comprises a transmit antenna; a second module of the plurality of LWD tool modules that comprises a receive antenna, wherein at least one of the first and second modules is configured to accept a receive antenna signal from the receive antenna of the second module, the receive antenna signal being a measured response to a transmit antenna signal transmitted by the transmit antenna of the first module and propagated through the surrounding formation; and at least one position measurement device that determines spatial locations, including at least the orientations of the transmit and receive antennas relative to each other; and the orientations of the LWD tool modules, characterized in that the system is configured to perform an inversion process comprising the following steps: select initial formation model parameters; determine a modelled response by an inversion algorithm based on the selected parameters and adjusted for the receive and transmit antenna orientations and on LWD tool module orientations measured by the measurement device; compare the measured response to the modeled response; and change one or more parameters of the formation model if a mismatch between the measured and modeled responses is identified. a plurality of LWD tool modules positioned along a drillstring that comprise: a first module of the plurality of LWD tool modules that comprises a transmit antenna; a second module of the plurality of LWD tool modules that comprises a receive antenna, wherein at least one of the first and second modules is configured to accept a receive antenna signal from the receive antenna of the second module, the receive antenna signal being a measured response to a transmit antenna signal transmitted by the transmit antenna of the first module and propagated through the surrounding formation; and at least one position measurement device that determines spatial locations, including at least the orientations of the transmit and receive antennas relative to each other; a first module of the plurality of LWD tool modules that comprises a transmit antenna; a second module of the plurality of LWD tool modules that comprises a receive antenna, wherein at least one of the first and second modules is configured to accept a receive antenna signal from the receive antenna of the second module, the receive antenna signal being a measured response to a transmit antenna signal transmitted by the transmit antenna of the first module and propagated through the surrounding formation; and at least one position measurement device that determines spatial locations, including at least the orientations of the transmit and receive antennas relative to each other; and the orientations of the LWD tool modules, characterized in that the system is configured to perform an inversion process comprising the following steps: select initial formation model parameters; determine a modelled response by an inversion algorithm based on the selected parameters and adjusted for the receive and transmit antenna orientations and on LWD tool module orientations measured by the measurement device; compare the measured response to the modeled response; and change one or more parameters of the formation model if a mismatch between the measured and modeled responses is identified. characterized in that the system is configured to perform an inversion process comprising the following steps: select initial formation model parameters; determine a modelled response by an inversion algorithm based on the selected parameters and adjusted for the receive and transmit antenna orientations and on LWD tool module orientations measured by the measurement device; compare the measured response to the modeled response; and change one or more parameters of the formation model if a mismatch between the measured and modeled responses is identified.