An interwell tomography method to optimize production of a reservoir, the method comprising: casing a first borehole with a casing tubular lining a wall of the first bore hole and having at least one transmission crossover arrangement , each transmission crossover arrangement having an internal adapter in communication with an external coil antenna that encircles an exterior of the casing tubular; deploying, inside the casing tubular, a conductive path that extends from a surface interface to the at least one transmission crossover arrangement , wherein the adapter enables coupling of the transmission crossover arrangement to the conductive path ; drilling a second borehole and equipping the second borehole with one or more sets of antennas ; acquiring measurements of a designated receive antenna responses to signals from a designated transmit antenna , wherein the designated receive antenna and the designated transmit antenna are provided in different boreholes and the at least one external coil antenna of the first borehole or the at least one of the one or more sets of antennas of the second borehole is designated as the transmit antenna; processing the acquired measurements to improve the signal-to-noise ratio of the measurements; inverting the acquired measurements to match the measurements with synthetic measurements from a tomographic formation model to derive model parameter values; displaying a representation of the derived model parameters ; combining current parameter values with past parameter values to derive changes in an interwell resistivity or permittivity distribution that indicates motion of a fluid front; and adjusting, in response to motion of the fluid front, a control signal that controls a production rate or an injection rate to optimize production from the reservoir. casing a first borehole with a casing tubular lining a wall of the first bore hole and having at least one transmission crossover arrangement , each transmission crossover arrangement having an internal adapter in communication with an external coil antenna that encircles an exterior of the casing tubular; deploying, inside the casing tubular, a conductive path that extends from a surface interface to the at least one transmission crossover arrangement , wherein the adapter enables coupling of the transmission crossover arrangement to the conductive path ; drilling a second borehole and equipping the second borehole with one or more sets of antennas ; acquiring measurements of a designated receive antenna responses to signals from a designated transmit antenna , wherein the designated receive antenna and the designated transmit antenna are provided in different boreholes and the at least one external coil antenna of the first borehole or the at least one of the one or more sets of antennas of the second borehole is designated as the transmit antenna; processing the acquired measurements to improve the signal-to-noise ratio of the measurements; inverting the acquired measurements to match the measurements with synthetic measurements from a tomographic formation model to derive model parameter values; displaying a representation of the derived model parameters ; combining current parameter values with past parameter values to derive changes in an interwell resistivity or permittivity distribution that indicates motion of a fluid front; and adjusting, in response to motion of the fluid front, a control signal that controls a production rate or an injection rate to optimize production from the reservoir. <EOS>