UCVM Density Formula - Revision history

Maechlin: /* Compare CCA06, CVM-S4.26 and CenCal Density to Nafe Drake Vs Density Relationship */

2018-05-27T22:18:57Z

Compare CCA06, CVM-S4.26 and CenCal Density to Nafe Drake Vs Density Relationship

Maechlin at 21:21, 27 May 2018

2018-05-27T21:21:11Z

Maechlin: /* Density Formula used in CVM-S4.26 and CCA06 */

2018-05-27T21:13:22Z

Density Formula used in CVM-S4.26 and CCA06

Maechlin: /* Compare Model Density to Formula Density */

2018-05-27T21:11:31Z

Compare Model Density to Formula Density

Maechlin at 06:24, 27 May 2018

2018-05-27T06:24:35Z

Maechlin: /* Compare Model Density to Formula Density */

2018-05-24T18:22:46Z

Compare Model Density to Formula Density

Maechlin: /* Compare Model Density to Formula Density */

2018-05-24T18:22:06Z

Compare Model Density to Formula Density

Maechlin: Created page with "We have reviewed how the density values are calculated in our tomography improved velocity models. We have determined that CVM-S4.26 calculated density from model Vs, and CCA0..."

2018-05-24T18:18:17Z

Created page with "We have reviewed how the density values are calculated in our tomography improved velocity models. We have determined that CVM-S4.26 calculated density from model Vs, and CCA0..."

New page

We have reviewed how the density values are calculated in our tomography improved velocity models. We have determined that CVM-S4.26 calculated density from model Vs, and CCA06 provides density values in a data file. We reviewed algorithms to confirm that the same algorith is used to calculated density for both CVM-S4.6 and CCA06.

== Compare Model Density to Formula Density ==
If model uses the formula, we'd expect values to fall on a diagonal line in these plots.

== Density Formula used in CVM-S4.26 and CCA06 ==
<pre>

#
# * Calculates the density based off of Vs. Based on Nafe-Drake scaling relationship.
# *
# * @param vs The Vs value off which to scale.
# * @return Density, in g/m^3.
# */
def vs_2_density(vs):
# Density scaling parameters
p5 = -0.0024189659303912917
p4 = 0.015600987888334450
p3 = 0.051962399479341816
p2 = -0.51231936640441489
p1 = 1.2550758337054457
p0 = 1.2948318548300342

retVal = 0.0
vs = vs / 1000.0
retVal = p0 + p1 * vs + p2 * pow(vs, 2) + p3 * pow(vs, 3) + p4 * pow(vs, 4) + p5 * pow(vs, 5)
retVal = retVal * 1000
return retVal
</pre>

== Related Entries ==
*[[UCVM]]

@@ Line 8: / Line 8: @@
 | [[File:cvms5_rho_versus_density_1000km.png|thumb|400px|CVM-S4.26 Density (rho) at Depth 1000m (Density in g/cm^3)]]
 | [[File:cencal_rho_versus_density_1000km.png|thumb|400px|Cencal Density (rho) at Depth 1000m]]
 |}
-Looks like CCA06 and CVM-S4.26 use this Vs-based density scaling relationship, but CenCal does not.
+Looks like CCA06 and CVM-S4.26 use this Vs-based density scaling relationship, but CenCal and CVM-H do not.
 == Compare CCA06, CVM-S4.26 and CenCal Density to Nafe Drake Vp Density Relationship ==

@@ Line 13: / Line 13: @@
 == Compare CCA06, CVM-S4.26 and CenCal Density to Nafe Drake Vp Density Relationship ==
-CVM-H model bases its density values on a nafe drake density relationship based on Vp values. These plots show density values for selected points extracted from cvm-s4.26, cca06, and cencal.
+UCVM also provides an algorithm that defines a scaling relationship between Vp values and density values on a nafe drake density relationship. These plots show density values for selected points extracted from cvm-s4.26, cca06, and cencal, and cvm-h.
 {|
 | [[File:cca_rho_versus_vp_density_1000km.png|thumb|400px| CCA Density (rho) at Depth 1000m (Density in g/cm^3)]]
 | [[File:cvms5_rho_versus_vp_density_1000km.png|thumb|400px|CVM-S4.26 Density (rho) at Depth 1000m (Density in g/cm^3)]]
 | [[File:cencal_rho_versus_vp_density_1000km.png|thumb|400px|Cencal Density (rho) at Depth 1000m]]
 |}
@@ Line 45: / Line 46: @@
 </pre>
-== Vp-based Density Formula used in CVM-H ==
+== Vp-based Density Formula in UCVM ==
 <pre>
 # Density derived from Vp via Nafe-Drake curve, Brocher (2005) eqn 1. */

@@ Line 1: / Line 1: @@
 We have reviewed how the density values are calculated in our tomography improved velocity models. We have determined that CVM-S4.26 calculated density from model Vs, and CCA06 provides density values in a data file. We reviewed algorithms to confirm that the same algorith is used to calculated density for both CVM-S4.6 and CCA06.
-== Compare Model Density to Formula Density ==
+== Compare CCA06, CVM-S4.26 and CenCal Density to Nafe Drake Vs Density Relationship ==
 If model uses the formula, we'd expect values to fall on a diagonal line in these plots.
@@ Line 10: / Line 10: @@
 |}
-From these plots, we conclude that CCA and CVM-S4.26 use the same density formula, scaled from Vs.
+Looks like CCA06 and CVM-S4.26 use this Vs-based density scaling relationship, but CenCal does not.
-We were told CVM-H uses a Vp-based scaling relationship to give a density value based on nafe_drake. We plot density values for selected points extracted from cvm-s4.26, cca06, and cencal.
+== Compare CCA06, CVM-S4.26 and CenCal Density to Nafe Drake Vp Density Relationship ==
 {|
-| [[File:cca_rho_versus_density_1000km.png|thumb|400px| CCA Density (rho) at Depth 1000m (Density in g/cm^3)]]
+| [[File:cca_rho_versus_vp_density_1000km.png|thumb|400px| CCA Density (rho) at Depth 1000m (Density in g/cm^3)]]
-| [[File:cvms5_rho_versus_density_1000km.png|thumb|400px|CVM-S4.26 Density (rho) at Depth 1000m (Density in g/cm^3)]]
+| [[File:cvms5_rho_versus_vp_density_1000km.png|thumb|400px|CVM-S4.26 Density (rho) at Depth 1000m (Density in g/cm^3)]]
-| [[File:cencal_rho_versus_density_1000km.png|thumb|400px|Cencal Density (rho) at Depth 1000m]]
+| [[File:cencal_rho_versus_vp_density_1000km.png|thumb|400px|Cencal Density (rho) at Depth 1000m]]
 |}
 == Density Formula used in CVM-S4.26 and CCA06 ==

← Older revision		Revision as of 06:24, 27 May 2018
Line 11:		Line 11:

	From these plots, we conclude that CCA and CVM-S4.26 use the same density formula, scaled from Vs.		From these plots, we conclude that CCA and CVM-S4.26 use the same density formula, scaled from Vs.
		+
		+	We were told CVM-H uses a Vp-based scaling relationship to give a density value based on nafe_drake. We plot density values for selected points extracted from cvm-s4.26, cca06, and cencal.
		+	{\|
		+	\| [[File:cca_rho_versus_density_1000km.png\|thumb\|400px\| CCA Density (rho) at Depth 1000m (Density in g/cm^3)]]
		+	\| [[File:cvms5_rho_versus_density_1000km.png\|thumb\|400px\|CVM-S4.26 Density (rho) at Depth 1000m (Density in g/cm^3)]]
		+	\| [[File:cencal_rho_versus_density_1000km.png\|thumb\|400px\|Cencal Density (rho) at Depth 1000m]]
		+	\|}
		+

	== Density Formula used in CVM-S4.26 and CCA06 ==		== Density Formula used in CVM-S4.26 and CCA06 ==

@@ Line 9: / Line 9: @@
 | [[File:cencal_rho_versus_density_1000km.png|thumb|400px|Cencal Density (rho) at Depth 1000m]]
 |}
 == Density Formula used in CVM-S4.26 and CCA06 ==

@@ Line 20: / Line 20: @@
 |}
-== Density Formula used in CVM-S4.26 and CCA06 ==
+== Vs-based Density Formula used in CVM-S4.26 and CCA06 ==
 <pre>
@@ Line 43: / Line 43: @@
    retVal = retVal * 1000
    return retVal
 </pre>
 == Related Entries ==
 *[[UCVM]]

← Older revision		Revision as of 18:22, 24 May 2018
Line 4:		Line 4:
	If model uses the formula, we'd expect values to fall on a diagonal line in these plots.		If model uses the formula, we'd expect values to fall on a diagonal line in these plots.

		+	{\|
		+	\| [[File:cca_rho_versus_density_1000km.png\|thumb\|400px\| CCA Density (rho) at Depth 1000m (Density in g/cm^3)]]
		+	\| [[File:cvms5_rho_versus_density_1000km.png\|thumb\|400px\|CVM-S4.26 Density (rho) at Depth 1000m (Density in g/cm^3)]]
		+	\| [[File:cencal_rho_versus_density_1000km.png\|thumb\|400px\|Cencal Density (rho) at Depth 1000m]]
		+	\|}

	== Density Formula used in CVM-S4.26 and CCA06 ==		== Density Formula used in CVM-S4.26 and CCA06 ==