Let
p
be a prime number,
F
a totally real number field unramified at places above
p
and
D
a quaternion algebra of center
F
split at places above
p
and at no more than one infinite place. Let
v
be a ...fixed place of
F
above
p
and
r
‾
:
Gal
(
F
‾
/
F
)
→
GL
2
(
F
‾
p
)
an irreducible modular continuous Galois representation which, at the place
v
, is semisimple and sufficiently generic (and satisfies some weak genericity conditions at a few other finite places). We prove that many of the admissible smooth representations of
GL
2
(
F
v
)
over
F
‾
p
associated to
r
‾
in the corresponding Hecke-eigenspaces of the mod
p
cohomology have Gelfand–Kirillov dimension
F
v
:
Q
p
, as well as several related results.
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EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, KILJ, KISLJ, MFDPS, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, SBMB, SBNM, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
Let $p$ be a prime number, $F$ a totally real number field unramified at places above $p$ and $D$ a quaternion algebra of center $F$ split at places above $p$ and at no more than one infinite place. ...Let $v$ be a fixed place of $F$ above $p$ and $\overline{r} : {\rm Gal}(\overline F/F)\rightarrow \mathrm{GL}_2(\overline{\mathbb{F}}_p)$ an irreducible modular continuous Galois representation which, at the place $v$, is semisimple and sufficiently generic (and satisfies some weak genericity conditions at a few other finite places). We prove that many of the admissible smooth representations of $\mathrm{GL}_2(F_v)$ over $\overline{\mathbb{F}}_p$ associated to $\overline{r}$ in the corresponding Hecke-eigenspaces of the mod $p$ cohomology have Gelfand--Kirillov dimension $F_v:\mathbb{Q}$, as well as several related results.
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DOBA, EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, IZUM, KILJ, KISLJ, MFDPS, NLZOH, NUK, OILJ, PILJ, PNG, SAZU, SBCE, SBJE, SBMB, SBNM, UILJ, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
The evolution of fractures during shut-in after hydraulic fracturing is an important topic in petroleum engineering. Considering the closure and secondary expansion of fractures during shut-in can ...further improve the accuracy of predicting hydraulic fracture parameters. Based on linear elastic fracture mechanics, elastic mechanics, and the implicit level set algorithm, a numerical model of planar hydraulic fracture propagation was established in this study. In the proposed model, the reservoir was considered as a homogeneous elastic medium, and the fluid loss was characterized using Carter's filtration model. The secondary propagation and fracture closure behavior during shut-in could be simulated by solving the strongly nonlinear system of fluid and stress coupling. Based on this model, the evolution behavior of hydraulic fractures during injection and shut-in was analyzed. According to the variation characteristics of the fracture length, the evolution process could be divided into three stages: fracture propagation during injection, secondary growth, and fracture stopping (but not closing). According to the variation characteristics of the fracture opening and net pressure, the evolution process could be divided into three stages: nonlinear increase, linear decrease, and gradual decrease. For low-permeability reservoirs, fracture closure and secondary propagation may take several times the injection time after shut-in, and the secondary propagation length may reach tens of meters. The results show that the larger the filtration coefficient, the faster the fracture closure will be, and the shorter the secondary propagation distance. The higher the viscosity of the fracturing fluid, the slower the fracture closure will be, while the secondary propagation distance is almost unaffected. The fracture toughness has little effect on the fracture closure and secondary propagation. The crack will close first in the region with large interlayer stress during shut-in. The findings of this study can help for better understanding of the evolution mechanism of fractures during shut-in and closure.
•A three-dimensional planar hydraulic fracture model is established.•Fracture secondary propagation during shut-in is considered.•Fracture closure behavior is considered during shut-in.•The level set factor algorithm is used to solve the injection and shut-in models.•The influence of filtration, influence strength factor, viscosity on fracture evolution is analyzed.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
The acoustic characteristics under P&S wave velocity of 56 samples from Low Youshashan Formation in Wunan Oilfield were tested by SCMS-E high temperature and high pressure core multi parameter test ...instrument, the measured velocity ratio of P wave and S wave is 1.32-1.67 and the conversion between the P and S wave velocity of rock sample was established. The corresponding dynamic elastic modulus and Poisson's ratio were obtained on the base of the elastic wave propagation theory formula. So, according to the transformation relationship between static and dynamic mechanical parameters, rock brittleness index is calculated and average value is only equal to 38. Therefore, it is difficult to form a fully developed network model during the hydraulic fracturing. These achievements provide a guiding significance for fracturing development at Low Youshashan Formation in Wunan Oilfield.
Objective This study was carried out to confirm whether patients with intermediate-risk differentiated thyroid cancer (DTC) could benefit from initial 131 I ablation and to identify the factors that ...impacted the benefit. Methods We retrospectively assessed a cohort of 548 patients with intermediate-risk DTC who were classified into structural incomplete response (SIR), biochemical incomplete response (BIR), indeterminate response (IDR), and excellent response (ER) groups according to the ATA guidelines (version 2015). A downgrade in the classification, such as from initial SIR to final BIR, IDR, or ER, from BIR to IDR or ER, and from initial IDR to final ER, was defined as benefiting from initial 131 I ablation (benefit group). Non-downgraded classification meant non-benefit. Results 64.78% of patients benefited from the initial 131 I ablation in the final re-evaluation. Gender (OR = 0.038, P = 0.002), interval time (OR = 0.038, P = 0.002) and serum ps-Tg (OR = 0.961, P = 0.001) were independent prognostic factors for benefiting from initial 131 I ablation, with the cutoff value were 5 months and 19.08 ng/ml. Conclusion Patients with intermediate-risk DTC could benefit from initial 131 I ablation. Female patients with intermediate-risk DTC whose interval time <5 months and ps-Tg <19.08 ng/ml were more likely to benefit. Early 131 I ablation for such patients is beneficial for achieving a complete therapeutic response.
•The effects of crack lengths and spacing on the induced stress are calculated with the analytical model.•The mechanism of multiple fracture simultaneous and sequential propagation are studied with ...(XFEM).•The crack extending model and CBM productivity model are proposed and combined to optimize fracture parameters.•The simulation results have been applied in CBM horizontal well of Jixian block .
Multistage fracturing technology is critical to coalbed methane (CBM) production from horizontal wells. Further, optimizing the fracture parameters has a crucial influence on the stimulated reservoir volume and gas production. To investigate fracture parameter optimization, a stress interference model, hydraulic fracture propagation model, and a CBM productivity model are proposed. The effects of crack length and spacing for one to three fractures on the induced stress are calculated by implementing a static analysis MATLAB-developed program. The extended finite-element method is used to study the mechanism of simultaneous fracturing and sequential fracturing. In addition, the influences of cluster spacing and stage spacing on the stress field, formation pressure, fracture geometry, gas production, and reservoir pressure drop are comprehensively investigated by using Abaqus and COMET3 software. The simulation results indicate that with multiple fractures, fracture spacing of 80 m and fracture length of 160 m are conducive for dilating the secondary fracture system and producing a broader contact area in the coal seam. Moreover, an optimal cluster spacing of 15 m, a fracture interval of 80 m, and two cluster numbers per stage are better at forming a uniform fracture geometry with low injection pressure; within a given horizontal well section length of 500 m, fracture parameters with cluster spacing of 30 m, fracture spacing of 80 m, and two clusters per stage offer the best production performance. The simulation results are applied in well TP-07, and microseismic monitoring was conducted to monitor fracture propagation. The microseismic monitoring results are consistent with the numerical simulation.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
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