Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On anisotropy parameters and fluid detection in equivalent TI medium   We consider a long-wave transversely isotropic (TI) medium equivalent to a
series of finely parallel-layered isotropic layers, obtained using the
\citet{Backus} average. In such a TI equivalent medium, we verify the
\citet{Berrymanetal} method of indicating fluids and the author's method
\citep{Adamus}, using anisotropy parameter $\varphi$. Both methods are based on
detecting variations of the Lam\'e parameter, $\lambda$, in a series of thin
isotropic layers, and we treat these variations as potential change of the
fluid content. To verify these methods, we use Monte Carlo (MC) simulations;
for certain range of Lam\'e parameters $\lambda$ and $\mu$---relevant to
particular type of rocks---we generate numerous combinations of these
parameters in thin layers and, after the averaging process, we obtain their TI
media counterparts. Subsequently, for each of the aforementioned media, we
compute $\varphi$ and \citet{Thomsen} parameters $\epsilon$ and $\delta$. We
exhibit $\varphi$, $\epsilon$ and $\delta$ in a form of cross-plots and
distributions that are relevant to chosen range of $\lambda$ and $\mu$. We
repeat that process for various ranges of Lam\'e parameters. Additionally, to
support the MC simulations, we consider several numerical examples of growing
$\lambda$, by using scale factors. As a result of the thorough analysis of the
relations among $\varphi$, $\epsilon$ and $\delta$, we find eleven fluid
detectors that compose a new fluid detection method. Based on these detectors,
we show the quantified pattern of indicating change of the fluid content.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci