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Cuenta de cajas funcional y múltiples dimensiones elípticas bajo la lluvia.

S Lovejoy, D Schertzer, A A Tsonis

Science (New York, N.Y.)

|February 27, 1987

Resumen

Los sistemas físicos exhiben invarianza de escala, donde las escalas grandes y pequeñas se relacionan por proporción. El análisis de los campos de lluvia atmosféricos utilizando dimensiones elípticas reveló una dimensión fractal de 2.22 +/- 0.07.

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Área de la Ciencia:

La geofísica es la geofísica.
Ciencias de la atmósfera Ciencias atmosféricas.
Física Física es la física de las cosas.

Sus antecedentes:

Muchos sistemas físicos muestran invariancia de escala, careciendo de tamaños característicos.
Los sistemas atmosféricos, como la lluvia, exhiben escalamiento complejo debido a la estratificación y la variabilidad.
Comprender estas propiedades de escala es crucial para un modelado preciso.

Objetivo del estudio:

Para analizar las propiedades de escala multidimensional de los campos de lluvia atmosféricos.
Para cuantificar la dimensión fractal de las distribuciones de intensidad de lluvia.
Aplicar técnicas avanzadas de análisis dimensional a los datos de radar.

Principales métodos:

Se utilizó el muestreo dimensional elíptico para analizar los cambios de escala.
Empleado conteo de cajas funcionales para el análisis de datos.
Aplicó estos métodos a los datos de lluvia derivados del radar.

Principales resultados:

Identificó múltiples dimensiones de escala dentro de los campos de lluvia atmosférica.
Se estima la dimensión elíptica (d) del campo de lluvia.
Se obtuvo una estimación cuantitativa: d(el) = 2.22 +/- 0.07.

Conclusiones:

El estudio cuantifica la naturaleza compleja y multidimensional de los campos de lluvia atmosféricos.
El análisis elíptico dimensional proporciona un método robusto para caracterizar tales fenómenos.
Los hallazgos contribuyen a una comprensión más profunda de la dinámica de fluidos geofísicos y los procesos de precipitación.