Abstract：The proposal of elastic impedance(EI) is based on the P-P wave reflection coefficient approximate expression for near-vertical incidence, which is related to the Zoeppritz equation. However, specific assumptions are required for the formation properties and geometry system, such as small differences between the impedance interfaces and small incidence angles, which limit the practical application of EI. Additionally, EI is different from acoustic impedance and does not have a definite dimension, which means that it is not a physical quantity and cannot be directly interpreted physically. Therefore, according to the physical definition of impedance, the two components of stress vectors and two components of velocity vectors are divided and inverted to form the impedance tensor, which has a definite dimension. For the case of P-wave incidence, the normal component(T) of the impedance tensor is used to approximately express the reflection coefficient, and a corresponding inversion method is developed. Numerical examples show that the results of T inversion and EI inversion are basically consistent and are in good agreement with the theoretical values. However, for the low-velocity layer, the S-wave impedance by T inversion is relatively stable and oscillates less compared with EI inversion. In addition, as the exponential operation is not included in the definition of T, the sensitivity of the inversion result to velocity, density, and angle is reduced, and the inversion result is relatively stable. The test results of actual seismic data show that the inversion result is in good agreement with the actual drilling data, and the impedance differences are evident in seismic events, indicating two sets of thin reservoirs with a clear low Poisson's ratio anomaly. Since the proposed method only uses data from two angles for inversion, it is particularly suitable for geometry systems with a narrow range of incidence angles. The normal impedance component extends the connotation of prestack seismic inversion and is a beneficial supplement to seismic impedance inversion.
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