Publisher Correction: The impact of faulting complexity and type on earthquake rupture dynamics
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Download PDF Publisher Correction Open access Published: 08 December 2022 Publisher Correction: The impact of faulting complexity and type on earthquake rupture dynamics Davide Zaccagnino
ORCID: orcid.org/0000-0001-6884-84521 & Carlo Doglioni ORCID: orcid.org/0000-0002-8651-63871,2 Communications Earth & Environment volume 3, Article number: 311 (2022) Cite this article
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Subjects GeophysicsSeismologyStructural geologyTectonics The Original Article was published on 30 October 2022
Correction to: Communications Earth & Environment https://doi.org/10.1038/s43247-022-00593-5, published online 30 October 2022.
The original PDF version of this Article contained errors in Equation 1. in which four capital sigmas were omitted, two in the second integral and two in the third integral, such that
Equation 1 incorrectly appeared as:
$$\begin{array}{c}{M}^{TH}={\int }_{{t}_{0}}^{{t}_{f}}\left[\begin{array}{ccc}{M}_{rr}(t) & {M}_{r\theta }(t) & {M}_{r\varphi }(t)\\ {M}_{\theta r}(t)& {M}_{\theta \theta }(t) & {M}_{\theta \varphi }(t)\\ {M}_{\varphi r}(t) & {M}_{\varphi \theta }(t) & {M}_{\varphi \varphi }(t)\end{array}\right]dt\leftrightarrow {M}_{0}^{TH}\\
\begin{array}{c}={\int }_{{t}_{0}}^{{t}_{f}}\int \mu (x,t)u(x,t)\,d\,dt\ge {M}_{0}^{OB}\\ =\int \mu (x)u(x)\,d\leftrightarrow {M}^{OB}=\left[\begin{array}{ccc}{M}_{rr} & {M}_{r\theta } &
{M}_{r\varphi }\\ {M}_{\theta r} & {M}_{\theta \theta } & {M}_{\theta \varphi }\\ {M}_{\varphi r} & {M}_{\varphi \theta } & {M}_{\varphi \varphi }\end{array}\right]\end{array}\end{array}$$
The correct form of Equation 1 is:
$$\begin{array}{c}{M}^{TH}={\int }_{{t}_{0}}^{{t}_{f}}\left[\begin{array}{ccc}{M}_{rr}(t) & {M}_{r\theta }(t) & {M}_{r\varphi }(t)\\ {M}_{\theta r}(t) &{M}_{\theta \theta }(t) & {M}_{\theta \varphi }(t)\\ {M}_{\varphi r}(t) & {M}_{\varphi \theta }(t) & {M}_{\varphi \varphi }(t)\end{array}\right]dt\leftrightarrow {M}_{0}^{TH}\\
\begin{array}{c}={\int }_{{t}_{0}}^{{t}_{f}}{\int }_{\Sigma }\mu (x,t)u(x,t)d\Sigma \,dt\ge {M}_{0}^{OB}\\ ={\int }_{\Sigma }\mu (x)u(x)\,d\Sigma \leftrightarrow
{M}^{OB}=\left[\begin{array}{ccc}{M}_{rr} & {M}_{r\theta } & {M}_{r\varphi }\\ {M}_{\theta r} & {M}_{\theta \theta } & {M}_{\theta \varphi }\\ {M}_{\varphi r} & {M}_{\varphi \theta } &
{M}_{\varphi \varphi }\end{array}\right]\end{array}\end{array}$$
This has been corrected in the PDF version of the Article.”
Author informationAuthors and Affiliations Earth Sciences Department, Sapienza University, Piazzale Aldo Moro, 5, Rome, 00185, Italy
Davide Zaccagnino & Carlo Doglioni
Istituto Nazionale di Geofisica e Vulcanologia (INGV), Via di Vigna Murata, 605, Rome, 00143, Italy
Carlo Doglioni
AuthorsDavide ZaccagninoView author publications You can also search for this author inPubMed Google Scholar
Carlo DoglioniView author publications You can also search for this author inPubMed Google Scholar
Corresponding author Correspondence to Davide Zaccagnino.
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About this articleCite this article Zaccagnino, D., Doglioni, C. Publisher Correction: The impact of faulting complexity and type on earthquake rupture dynamics. Commun Earth Environ 3, 311
(2022). https://doi.org/10.1038/s43247-022-00647-8
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Published: 08 December 2022
DOI: https://doi.org/10.1038/s43247-022-00647-8
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