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We test the cases for both smooth source terms and rough source terms and show that with the multiplicative correction, the numerical approximations are more accurate compared to the additive correction.
Not all the cases examined above are tested here: For the cases with power-law aperture distributions, we examine α = 1.001, 2, and 6; for the cases of log-normal aperture distributions, we examine σ = 0.1, 0.2, and 0.6; we also test the cases where the aperture is proportional to the fracture length.
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"Can we test out the case?" "Sure!" they say.
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Any further testing in the case was therefore suspended.
This judgement applied to the test cases from the states of Kansas, South Carolina, Virginia, and Delaware.
RJ also constructed the test cases, and drafted the manuscript.
Remarks: Here you can add any comments on the test case or the execution of the test case.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com