From: Introducing inter-site phase tensors to suppress galvanic distortion in the telluric method
∂Φ x x | ∂Φ x y | ∂Φ y x | ∂Φ y y | |
---|---|---|---|---|
∂ A x x | \(\frac {-A_{yy}\varPhi _{xx}}{\text {Det}[\mathrm {A}]}\) | \(\frac {-A_{yy}\varPhi _{xy}}{\text {Det}[\mathrm {A}]}\) | \(\frac {B_{yx}-A_{yy}\varPhi _{yx}}{\text {Det}[\mathrm {A}]}\) | \(\frac {B_{yy}-A_{yy}\varPhi _{yy}}{\text {Det}[\mathrm {A}]}\) |
∂ A x y | \(\frac {-B_{yx}+A_{yx}\varPhi _{xx}}{\text {Det}[\mathrm {A}]}\) | \(\frac {-B_{yy}+A_{yx}\varPhi _{xy}}{\text {Det}[\mathrm {A}]}\) | \(\frac {A_{yx}\varPhi _{yx}}{\text {Det}[\mathrm {A}]}\) | \(\frac {A_{yx}\varPhi _{yy}}{\text {Det}[\mathrm {A}]}\) |
∂ A y x | \(\frac {A_{xy}\varPhi _{xx}}{\text {Det}[\mathrm {A}]}\) | \(\frac {A_{xy}\varPhi _{xy}}{\text {Det}[\mathrm {A}]}\) | \(\frac {-B_{xx}+A_{xy}\varPhi _{yx}}{\text {Det}[\mathrm {A}]}\) | \(\frac {-B_{xy}+A_{xy}\varPhi _{yy}}{\text {Det}[\mathrm {A}]}\) |
∂ A y y | \(\frac {B_{xx}-A_{xx}\varPhi _{xx}}{\text {Det}[\mathrm {A}]}\) | \(\frac {B_{xy}-A_{xx}\varPhi _{xy}}{\text {Det}[\mathrm {A}]}\) | \(\frac {-A_{xx}\varPhi _{yx}}{\text {Det}[\mathrm {A}]}\) | \(\frac {A_{xx}\varPhi _{yy}}{\text {Det}[\mathrm {A}]}\) |
∂ B x x | \(\frac {A_{yy}}{\text {Det}[\mathrm {A}]}\) | 0 | \(\frac {-A_{yx}}{\text {Det}[\mathrm {A}]}\) | 0 |
∂ B x y | 0 | \(\frac {A_{yy}}{\text {Det}[\mathrm {A}]}\) | 0 | \(\frac {-A_{yx}}{\text {Det}[\mathrm {A}]}\) |
∂ B y x | \(\frac {-A_{xy}}{\text {Det}[\mathrm {A}]}\) | 0 | \(\frac {A_{xx}}{\text {Det}[\mathrm {A}]} \) | 0 |
∂ B y y | 0 | \(\frac {-A_{xy}}{\text {Det}[\mathrm {A}]}\) | 0 | \(\frac {A_{xx}}{\text {Det}[\mathrm {A}]}\) |