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Comparing Multiple Data Sources

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Soru 1Soru →

Geothermal geologists analyzed fluid samples collected from 4 distinct wells (Well W, Well X, Well Y, and Well Z). Table 1 lists the measured reservoir temperature in degrees Celsius (∘C^\circ\text{C}) and the dissolved silica (SiO2SiO_2) concentration in milligrams per liter (mg/L\text{mg/L}) for each well.

Table 1:
WellReservoir Temperature (∘C^\circ\text{C})Dissolved SiO2SiO_2 (mg/L\text{mg/L})
Well W140180
Well X200400
Well Y170250
Well Z230520

Figure 1 displays the fluid viscosity (η\eta, in centipoise, cP\text{cP}) as a function of dissolved SiO2SiO_2 concentration at four different temperature curves:
- At 140∘C140^\circ\text{C}: η=0.005×(dissolved SiO2)+0.10\eta = 0.005 \times (\text{dissolved } SiO_2) + 0.10
- At 170∘C170^\circ\text{C}: η=0.003×(dissolved SiO2)+0.20\eta = 0.003 \times (\text{dissolved } SiO_2) + 0.20
- At 200∘C200^\circ\text{C}: η=0.002×(dissolved SiO2)+0.40\eta = 0.002 \times (\text{dissolved } SiO_2) + 0.40
- At 230∘C230^\circ\text{C}: η=0.001×(dissolved SiO2)+0.50\eta = 0.001 \times (\text{dissolved } SiO_2) + 0.50

Based on Table 1 and Figure 1, rank the geothermal wells in order from lowest fluid viscosity to highest fluid viscosity.

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Cevap

The correct order from lowest to highest fluid viscosity is Well Y, Well W, Well Z, and Well X.
By looking up each well's specific reservoir temperature and dissolved SiO2SiO_2 concentration in Table 1 and substituting those values into the corresponding temperature equation from Figure 1, the calculated viscosities are 0.95 cP0.95\text{ cP} for Well Y, 1.00 cP1.00\text{ cP} for Well W, 1.02 cP1.02\text{ cP} for Well Z, and 1.20 cP1.20\text{ cP} for Well X. Sorting these from lowest to highest yields the sequence: Well Y, Well W, Well Z, Well X.

Adım Adım Çözüm

1
Extract the temperature and dissolved SiO2SiO_2 concentration for each well from Table 1.
Well W: 140∘C140^\circ\text{C}, 180 mg/L180\text{ mg/L}; Well X: 200∘C200^\circ\text{C}, 400 mg/L400\text{ mg/L}; Well Y: 170∘C170^\circ\text{C}, 250 mg/L250\text{ mg/L}; Well Z: 230∘C230^\circ\text{C}, 520 mg/L520\text{ mg/L}.
Both temperature and concentration are necessary to select the corresponding line equation from Figure 1.
2
Apply the viscosity formulas from Figure 1 corresponding to each well's temperature.
Well W (140∘C140^\circ\text{C}): η=0.005(180)+0.10=0.90+0.10=1.00 cP\eta = 0.005(180) + 0.10 = 0.90 + 0.10 = 1.00\text{ cP}; Well X (200∘C200^\circ\text{C}): η=0.002(400)+0.40=0.80+0.40=1.20 cP\eta = 0.002(400) + 0.40 = 0.80 + 0.40 = 1.20\text{ cP}; Well Y (170∘C170^\circ\text{C}): η=0.003(250)+0.20=0.75+0.20=0.95 cP\eta = 0.003(250) + 0.20 = 0.75 + 0.20 = 0.95\text{ cP}; Well Z (230∘C230^\circ\text{C}): η=0.001(520)+0.50=0.52+0.50=1.02 cP\eta = 0.001(520) + 0.50 = 0.52 + 0.50 = 1.02\text{ cP}.
Synthesizing data from both sources determines the numerical fluid viscosity for each well.
3
Arrange the resulting viscosity values from smallest to largest.
0.95 cP (Well Y)<1.00 cP (Well W)<1.02 cP (Well Z)<1.20 cP (Well X)0.95\text{ cP (Well Y)} < 1.00\text{ cP (Well W)} < 1.02\text{ cP (Well Z)} < 1.20\text{ cP (Well X)}.
The question specifies ranking from lowest viscosity to highest viscosity.

Anahtar Kavram

Synthesizing values from a data table with temperature-dependent functional relationships in a graph.
Soru 2Soru →

Environmental scientists investigated the bioremediation of crude oil-contaminated soil using a specialized bacterial consortium. Table 1 shows the measured soil moisture content and temperature at four distinct monitoring sites (Site 1, Site 2, Site 3, and Site 4).

Table 1: Soil Characteristics at Monitoring Sites
Monitoring SiteSoil Moisture Content (%)Soil Temperature (°C)
Site 11525
Site 23035
Site 34515
Site 46025

Table 2 displays the hydrocarbon degradation rate by the bacterial consortium measured across various soil moisture contents and incubation temperatures in laboratory testing.

Table 2: Hydrocarbon Degradation Rate (mg/kg/day)
Incubation Temperature (°C)15% Moisture30% Moisture45% Moisture60% Moisture
1510254020
2530658550
3515355530

Based on Table 1 and Table 2, rank the four monitoring sites in order from the site with the HIGHEST estimated hydrocarbon degradation rate to the site with the LOWEST estimated hydrocarbon degradation rate.

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Site 4, Site 3, Site 2, Site 1
To rank the sites from highest to lowest degradation rate, combine the site parameters from Table 1 with the degradation rate values in Table 2. Site 4 (60% moisture at 25°C) yields 50 mg/kg/day. Site 3 (45% moisture at 15°C) yields 40 mg/kg/day. Site 2 (30% moisture at 35°C) yields 35 mg/kg/day. Site 1 (15% moisture at 25°C) yields 30 mg/kg/day. Ordering these values from highest to lowest gives Site 4, Site 3, Site 2, and Site 1.

Adım Adım Çözüm

1
Extract moisture and temperature values for each site from Table 1
Site 1: 15% moisture, 25°C; Site 2: 30% moisture, 35°C; Site 3: 45% moisture, 15°C; Site 4: 60% moisture, 25°C.
Identify the independent variable conditions for each site.
2
Cross-reference each site's parameters with Table 2 to determine hydrocarbon degradation rates
Site 1 degradation rate = 30 mg/kg/day; Site 2 degradation rate = 35 mg/kg/day; Site 3 degradation rate = 40 mg/kg/day; Site 4 degradation rate = 50 mg/kg/day.
Find the specific target values corresponding to each site's combined conditions.
3
Arrange the sites from highest degradation rate to lowest degradation rate
Site 4 (50 mg/kg/day) > Site 3 (40 mg/kg/day) > Site 2 (35 mg/kg/day) > Site 1 (30 mg/kg/day).
Fulfill the ordering requirement from highest rate to lowest rate.

Anahtar Kavram

Comparing Multiple Data Sources
Tahmini Süre:1m 30s